메뉴 건너뛰기




Volumn 83, Issue 2, 2015, Pages 263-292

Extreme Value Theory and Statistics of Univariate Extremes: A Review

Author keywords

Extreme value index and tail parameters; Parametric and semi parametric approaches; Statistics of univariate extremes; Testing issues

Indexed keywords


EID: 85028206021     PISSN: 03067734     EISSN: 17515823     Source Type: Journal    
DOI: 10.1111/insr.12058     Document Type: Article
Times cited : (158)

References (258)
  • 1
    • 0028193159 scopus 로고
    • On the maximal life span of humans
    • Aarssen, K. & de Haan, L. (1994). On the maximal life span of humans. Math. Popul. Stud., 4(4), 259-281.
    • (1994) Math. Popul. Stud. , vol.4 , Issue.4 , pp. 259-281
    • Aarssen, K.1    de Haan, L.2
  • 2
    • 5544256981 scopus 로고
    • Transformation of a survival data to an extreme value distribution
    • Achcar, A.J., Bolfarine, H. & Pericchi, L.R. (1987). Transformation of a survival data to an extreme value distribution. Statistician, 36, 229-234.
    • (1987) Statistician , vol.36 , pp. 229-234
    • Achcar, A.1    Bolfarine, H.2    Pericchi, L.3
  • 3
    • 85028208507 scopus 로고
    • Contributions to the Asymptotic Theory of Extreme Values, University of London, Ph.D. Thesis.
    • Anderson, C.W. (1971). Contributions to the Asymptotic Theory of Extreme Values, University of London, Ph.D. Thesis.
    • (1971)
    • Anderson, C.1
  • 4
    • 40749128454 scopus 로고    scopus 로고
    • Peaks over random threshold methodology for tail index and high quantile estimation
    • Araújo Santos, P., Fraga Alves, M.I. & Gomes, M.I. (2006). Peaks over random threshold methodology for tail index and high quantile estimation. REVSTAT, 4(3), 227-247.
    • (2006) REVSTAT , vol.4 , Issue.3 , pp. 227-247
    • Araújo Santos, P.1    Fraga Alves, M.2    Gomes, M.3
  • 6
    • 5544275799 scopus 로고
    • Bayesian estimation of the parameters of the extreme value distribution
    • Ashour, S.K. & El-Adl, Y.M. (1980). Bayesian estimation of the parameters of the extreme value distribution. Egypt Stat. J., 24, 140-152.
    • (1980) Egypt Stat. J. , vol.24 , pp. 140-152
    • Ashour, S.1    El-Adl, Y.2
  • 7
    • 0346803182 scopus 로고
    • Order statistics from extreme value distribution, II: best linear unbiased estimates and some other uses
    • Balakrishnan, N. & Chan, P.S. (1992). Order statistics from extreme value distribution, II: best linear unbiased estimates and some other uses. Comm. Stat. Simul. Comput., 21, 1219-1246.
    • (1992) Comm. Stat. Simul. Comput. , vol.21 , pp. 1219-1246
    • Balakrishnan, N.1    Chan, P.2
  • 8
    • 0001072998 scopus 로고
    • Residual life time at great age
    • Balkema, A.A & de Haan, L. (1974). Residual life time at great age. Ann. Probab., 2, 792-804.
    • (1974) Ann. Probab. , vol.2 , pp. 792-804
    • Balkema, A.1    de Haan, L.2
  • 9
    • 49449123742 scopus 로고
    • A test for distinguishing between extreme value distributions
    • Bardsley, W.E. (1977). A test for distinguishing between extreme value distributions. J. Hydrol., 34, 377-381.
    • (1977) J. Hydrol. , vol.34 , pp. 377-381
    • Bardsley, W.1
  • 10
    • 0001640740 scopus 로고    scopus 로고
    • Robust and efficient estimation by minimizing a density power divergence
    • Basu, A., Harris, I.R., Hjort, N.L. & Jones, M.C. (1998). Robust and efficient estimation by minimizing a density power divergence. Biometrika, 85, 549-559.
    • (1998) Biometrika , vol.85 , pp. 549-559
    • Basu, A.1    Harris, I.2    Hjort, N.3    Jones, M.4
  • 11
  • 12
    • 84859451550 scopus 로고    scopus 로고
    • An overview and open research topics in statistics of univariate extremes
    • Beirlant, J., Caeiro, F. & Gomes, M.I. (2012). An overview and open research topics in statistics of univariate extremes. REVSTAT, 10(1), 1-31.
    • (2012) REVSTAT , vol.10 , Issue.1 , pp. 1-31
    • Beirlant, J.1    Caeiro, F.2    Gomes, M.3
  • 13
    • 26044470176 scopus 로고    scopus 로고
    • A goodness-of-fit statistic for Pareto-type behaviour
    • Beirlant, J, de Wet, T. & Goegebeur, Y. (2006). A goodness-of-fit statistic for Pareto-type behaviour. J. Comput. Appl. Math., 186, 99-116.
    • (2006) J. Comput. Appl. Math. , vol.186 , pp. 99-116
    • Beirlant, J.1    de Wet, T.2    Goegebeur, Y.3
  • 14
    • 0001074848 scopus 로고    scopus 로고
    • Tail index estimation and an exponential regression model
    • Beirlant, J., Dierckx, G., Goegebeur, Y. & Matthys, G. (1999). Tail index estimation and an exponential regression model. Extremes, 2, 177-200.
    • (1999) Extremes , vol.2 , pp. 177-200
    • Beirlant, J.1    Dierckx, G.2    Goegebeur, Y.3    Matthys, G.4
  • 15
    • 33947428670 scopus 로고    scopus 로고
    • Estimation of the extreme-value index and generalized quantile plots
    • Beirlant, J., Dierckx, G. & Guillou, A. (2005). Estimation of the extreme-value index and generalized quantile plots. Bernoulli, 11(6), 949-970.
    • (2005) Bernoulli , vol.11 , Issue.6 , pp. 949-970
    • Beirlant, J.1    Dierckx, G.2    Guillou, A.3
  • 16
    • 2642550931 scopus 로고    scopus 로고
    • On exponential representations of log-spacings of extreme order statistics
    • Beirlant, J., Dierckx, G., Guillou, A. & Starica, C. (2002). On exponential representations of log-spacings of extreme order statistics. Extremes, 5(2), 157-180.
    • (2002) Extremes , vol.5 , Issue.2 , pp. 157-180
    • Beirlant, J.1    Dierckx, G.2    Guillou, A.3    Starica, C.4
  • 19
    • 0038244297 scopus 로고    scopus 로고
    • Pareto index estimation under moderate right censoring
    • Beirlant, J. & Guillou, A. (2001). Pareto index estimation under moderate right censoring. Scand. Actuar. J., 2, 111-125.
    • (2001) Scand. Actuar. J. , vol.2 , pp. 111-125
    • Beirlant, J.1    Guillou, A.2
  • 20
    • 36549054746 scopus 로고    scopus 로고
    • Estimation of the extreme value index and extreme quantiles under random censoring
    • Beirlant, J., Guillou, A., Dierckx, G. & Fils-Viletard, A. (2007). Estimation of the extreme value index and extreme quantiles under random censoring. Extremes, 10(3), 151-174.
    • (2007) Extremes , vol.10 , Issue.3 , pp. 151-174
    • Beirlant, J.1    Guillou, A.2    Dierckx, G.3    Fils-Viletard, A.4
  • 22
    • 67349251218 scopus 로고    scopus 로고
    • Second-order refined peaks-over-threshold modelling for heavy-tailed distributions
    • Beirlant, J., Joossens, E. & Segers, J. (2009). Second-order refined peaks-over-threshold modelling for heavy-tailed distributions. J. Stat. Plann. Inference, 139, 2800-2815.
    • (2009) J. Stat. Plann. Inference , vol.139 , pp. 2800-2815
    • Beirlant, J.1    Joossens, E.2    Segers, J.3
  • 24
    • 5244321845 scopus 로고    scopus 로고
    • Excess functions and estimation of the extreme-value index
    • Beirlant, J., Vynckier, P. & Teugels, J. (1996b). Excess functions and estimation of the extreme-value index. Bernoulli, 2, 293-318.
    • (1996) Bernoulli , vol.2 , pp. 293-318
    • Beirlant, J.1    Vynckier, P.2    Teugels, J.3
  • 25
    • 0030335268 scopus 로고    scopus 로고
    • Tail index estimation, Pareto quantile plots and regression diagnostics
    • Beirlant, J., Vynckier, P. & Teugels, J. (1996c). Tail index estimation, Pareto quantile plots and regression diagnostics. J. Am. Stat. Assoc., 91, 1659-1667.
    • (1996) J. Am. Stat. Assoc. , vol.91 , pp. 1659-1667
    • Beirlant, J.1    Vynckier, P.2    Teugels, J.3
  • 26
    • 84892580203 scopus 로고    scopus 로고
    • The harmonic moment tail index estimator: asymptotic distribution and robustness
    • Beran, J., Schell, D. & Stehlik, M. (2014). The harmonic moment tail index estimator: asymptotic distribution and robustness. Ann. Inst. Stat. Math., 66, 193-220.
    • (2014) Ann. Inst. Stat. Math. , vol.66 , pp. 193-220
    • Beran, J.1    Schell, D.2    Stehlik, M.3
  • 28
    • 23444461724 scopus 로고    scopus 로고
    • Bayesian analysis of extreme values by mixture modeling
    • Bottolo, L., Consonni, G., Dellaportas, P. & Lijoi, A. (2003). Bayesian analysis of extreme values by mixture modeling. Extremes, 6(1), 25-47.
    • (2003) Extremes , vol.6 , Issue.1 , pp. 25-47
    • Bottolo, L.1    Consonni, G.2    Dellaportas, P.3    Lijoi, A.4
  • 29
    • 0001611266 scopus 로고    scopus 로고
    • Robust estimation of tail parameters for two-parameter Pareto and exponential models via generalized quantile statistics
    • Brazauskas, V. & Serfling, R. (2000). Robust estimation of tail parameters for two-parameter Pareto and exponential models via generalized quantile statistics. Extremes, 3, 231-249.
    • (2000) Extremes , vol.3 , pp. 231-249
    • Brazauskas, V.1    Serfling, R.2
  • 30
    • 51949086902 scopus 로고    scopus 로고
    • Exponentiality versus generalized Pareto-a resistant and robust test
    • Brilhante, M.F. (2004). Exponentiality versus generalized Pareto-a resistant and robust test. REVSTAT, 2(1), 1-13.
    • (2004) REVSTAT , vol.2 , Issue.1 , pp. 1-13
    • Brilhante, M.1
  • 31
    • 84865432784 scopus 로고    scopus 로고
    • A simple generalization of the Hill estimator
    • Brilhante, F., Gomes, M.I. & Pestana, D. (2013). A simple generalization of the Hill estimator. Comput. Stat. Data Anal., 57(1), 518-535.
    • (2013) Comput. Stat. Data Anal. , vol.57 , Issue.1 , pp. 518-535
    • Brilhante, F.1    Gomes, M.2    Pestana, D.3
  • 32
    • 67949121924 scopus 로고    scopus 로고
    • Semi-parametric second-order reduced-bias high quantile estimation
    • Caeiro, F. & Gomes, M.I. (2009). Semi-parametric second-order reduced-bias high quantile estimation. TEST, 18(2), 392-413.
    • (2009) TEST , vol.18 , Issue.2 , pp. 392-413
    • Caeiro, F.1    Gomes, M.2
  • 33
    • 78649358293 scopus 로고    scopus 로고
    • Semi-parametric tail inference through probability-weighted moments
    • Caeiro, F., Gomes, M.I. (2011). Semi-parametric tail inference through probability-weighted moments. J. Stat. Plann. Inference, 141(2), 937-950.
    • (2011) J. Stat. Plann. Inference , vol.141 , Issue.2 , pp. 937-950
    • Caeiro, F.1    Gomes, M.2
  • 34
    • 77649335617 scopus 로고    scopus 로고
    • Reduced-bias tail index estimators under a third order framework
    • Caeiro, F., Gomes, M.I., Henriques-Rodrigues, L. (2009). Reduced-bias tail index estimators under a third order framework. Comm. Stat. Theory Methods, 38(7), 1019-1040.
    • (2009) Comm. Stat. Theory Methods , vol.38 , Issue.7 , pp. 1019-1040
    • Caeiro, F.1    Gomes, M.2    Henriques-Rodrigues, L.3
  • 35
    • 33947287640 scopus 로고    scopus 로고
    • Direct reduction of bias of the classical Hill estimator
    • Caeiro, F., Gomes, M.I., Pestana, D. (2005). Direct reduction of bias of the classical Hill estimator. REVSTAT, 3(2), 113-136.
    • (2005) REVSTAT , vol.3 , Issue.2 , pp. 113-136
    • Caeiro, F.1    Gomes, M.2    Pestana, D.3
  • 36
    • 84894656048 scopus 로고    scopus 로고
    • Semi-parametric probability-weighted moments estimation revisited
    • Caeiro, F., Gomes, M.I. & Vandewalle, B. (2014). Semi-parametric probability-weighted moments estimation revisited. Method. Comput. Appl. Probab., 16(1), 1-29.
    • (2014) Method. Comput. Appl. Probab. , vol.16 , Issue.1 , pp. 1-29
    • Caeiro, F.1    Gomes, M.2    Vandewalle, B.3
  • 37
    • 84878348725 scopus 로고    scopus 로고
    • Bias correction in extreme value statistics with index around zero
    • Cai, J, de Haan, L., Zhou, C. (2013). Bias correction in extreme value statistics with index around zero. Extremes, 16, 173-201.
    • (2013) Extremes , vol.16 , pp. 173-201
    • Cai, J.1    de Haan, L.2    Zhou, C.3
  • 38
    • 80355132891 scopus 로고    scopus 로고
    • Generalized Pickands' estimators for the tail index parameter and max-semistability
    • Canto e Castro, L. & Dias, S. (2011). Generalized Pickands' estimators for the tail index parameter and max-semistability. Extremes, 14(4), 429-449.
    • (2011) Extremes , vol.14 , Issue.4 , pp. 429-449
    • Canto e Castro, L.1    Dias, S.2
  • 39
    • 79955823418 scopus 로고    scopus 로고
    • Looking for max-semistability: a new test for the extreme value condition
    • Canto e Castro, L., Dias, S. & Temido, M.G. (2011). Looking for max-semistability: a new test for the extreme value condition. J. Stat. Plann. Inference, 141, 3005-3020.
    • (2011) J. Stat. Plann. Inference , vol.141 , pp. 3005-3020
    • Canto e Castro, L.1    Dias, S.2    Temido, M.3
  • 41
    • 0041079684 scopus 로고
    • The selection of the domain of attraction of an extreme value distribution from a set of data
    • In. Eds. J. Hüsler & R.-D. Reiss, Berlin-Heidelberg: Springer.
    • Castillo, E., Galambos, J. & Sarabia, J.M. (1989). The selection of the domain of attraction of an extreme value distribution from a set of data. In Extreme Value Theory, Proc. Oberwolfach 1987. Eds. J. Hüsler & R.-D. Reiss, 181-190, Berlin-Heidelberg: Springer.
    • (1989) Extreme Value Theory, Proc. Oberwolfach 1987 , pp. 181-190
    • Castillo, E.1    Galambos, J.2    Sarabia, J.3
  • 42
    • 0031329205 scopus 로고    scopus 로고
    • Fitting the generalized Pareto distribution to data
    • Castillo, E. & Hadi, A. (1997). Fitting the generalized Pareto distribution to data. J. Am. Stat. Assoc., 92, 1609-1620.
    • (1997) J. Am. Stat. Assoc. , vol.92 , pp. 1609-1620
    • Castillo, E.1    Hadi, A.2
  • 44
    • 16544374493 scopus 로고    scopus 로고
    • A statistical test procedure for the shape parameter of a generalized Pareto distribution
    • Chaouche, A. & Bacro, J.-N. (2004). A statistical test procedure for the shape parameter of a generalized Pareto distribution. Comput. Stat. Data Anal., 45, 787-803.
    • (2004) Comput. Stat. Data Anal. , vol.45 , pp. 787-803
    • Chaouche, A.1    Bacro, J.-N.2
  • 45
    • 0035517051 scopus 로고    scopus 로고
    • Goodness-of-fit tests for the generalized Pareto distribution
    • Choulakian, V. & Stephens, M.A. (2001). Goodness-of-fit tests for the generalized Pareto distribution. Technometrics, 43(4), 478-484.
    • (2001) Technometrics , vol.43 , Issue.4 , pp. 478-484
    • Choulakian, V.1    Stephens, M.2
  • 46
    • 0013661075 scopus 로고
    • Estimating parameters of an extreme value distribution by the method of moments
    • Christopeit, N. (1994). Estimating parameters of an extreme value distribution by the method of moments. J. Stat. Plann. Inference, 41, 173-186.
    • (1994) J. Stat. Plann. Inference , vol.41 , pp. 173-186
    • Christopeit, N.1
  • 48
    • 0001771552 scopus 로고    scopus 로고
    • Likelihood-based inference for extreme value models
    • Coles, S.G. & Dixon, M.J. (1999). Likelihood-based inference for extreme value models. Extremes, 2(1), 5-23.
    • (1999) Extremes , vol.2 , Issue.1 , pp. 5-23
    • Coles, S.1    Dixon, M.2
  • 49
    • 0030560555 scopus 로고    scopus 로고
    • Bayesian methods in extreme value modelling: a review and new developments
    • Coles, S. & Powell, E. (1996). Bayesian methods in extreme value modelling: a review and new developments. Int. Stat. Rev., 64(1), 119-136.
    • (1996) Int. Stat. Rev. , vol.64 , Issue.1 , pp. 119-136
    • Coles, S.1    Powell, E.2
  • 50
    • 0039607949 scopus 로고    scopus 로고
    • A Bayesian analysis of extreme rainfall data
    • Coles, S. & Tawn, J. (1996). A Bayesian analysis of extreme rainfall data. J. R. Stat. Soc. Ser. C. Appl. Stat., 45(4), 463-478.
    • (1996) J. R. Stat. Soc. Ser. C. Appl. Stat. , vol.45 , Issue.4 , pp. 463-478
    • Coles, S.1    Tawn, J.2
  • 51
    • 0002431593 scopus 로고    scopus 로고
    • Estimating the heavy tail index from scaling properties
    • Crovella, M. & Taqqu, M. (1999). Estimating the heavy tail index from scaling properties. Method. Comput. Appl. Probab., 1, 55-79.
    • (1999) Method. Comput. Appl. Probab. , vol.1 , pp. 55-79
    • Crovella, M.1    Taqqu, M.2
  • 52
    • 0000857049 scopus 로고
    • Kernel estimates of the tail index of a distribution
    • Csörgo, S., Deheuvels, P. & Mason, D.M. (1985). Kernel estimates of the tail index of a distribution. Ann. Stat., 13, 1050-1077.
    • (1985) Ann. Stat. , vol.13 , pp. 1050-1077
    • Csörgo, S.1    Deheuvels, P.2    Mason, D.3
  • 53
    • 0010855101 scopus 로고
    • Simple estimators of the endpoint of a distribution
    • Berlin, Heidelberg: Springer-Verlag.
    • Csörgo, S., Mason, D.M. (1989) Simple estimators of the endpoint of a distribution. In Extreme Value Theory, Proceedings Oberwolfach 1987, pp. 132-147. Berlin, Heidelberg: Springer-Verlag.
    • (1989) Extreme Value Theory, Proceedings Oberwolfach 1987 , pp. 132-147
    • Csörgo, S.1    Mason, D.2
  • 54
    • 0000044433 scopus 로고    scopus 로고
    • Using a bootstrap method to choose the sample fraction in tail index estimation
    • Danielsson, J., de Haan, L., Peng, L. & de Vries, C.G. (2001). Using a bootstrap method to choose the sample fraction in tail index estimation. J. Multivariate Anal., 76, 226-248.
    • (2001) J. Multivariate Anal. , vol.76 , pp. 226-248
    • Danielsson, J.1    de Haan, L.2    Peng, L.3    de Vries, C.4
  • 55
    • 0003707560 scopus 로고    scopus 로고
    • 1st ed. New York: Wiley. 2nd ed., 1981.
    • David, H.A. (1970). Order Statistics 1st ed. New York: Wiley. 2nd ed., 1981.
    • (1970) Order Statistics
    • David, H.1
  • 57
    • 0000737722 scopus 로고
    • Modeling excesses over high threshold with an application
    • Ed. J. Tiago de Oliveira -, Dordrecht: D. Reidel.
    • Davison, A (1984). Modeling excesses over high threshold with an application. In Statistical Extremes and Applications, Ed. J. Tiago de Oliveira, pp. 461-482, Dordrecht: D. Reidel.
    • (1984) Statistical Extremes and Applications , pp. 461-482
    • Davison, A.1
  • 59
    • 0001760675 scopus 로고
    • A moment estimator for the index of an extreme-value distribution
    • Dekkers, A.L.M., Einmahl, J.H.J & de Haan, L. (1989). A moment estimator for the index of an extreme-value distribution. Ann. Stat., 17, 1833-1855.
    • (1989) Ann. Stat. , vol.17 , pp. 1833-1855
    • Dekkers, A.1    Einmahl, J.2    de Haan, L.3
  • 60
    • 0001591373 scopus 로고
    • On the estimation of the extreme-value index and large quantile estimation
    • Dekkers, A.L.M. & de Haan, L. (1989). On the estimation of the extreme-value index and large quantile estimation. Ann. Stat., 17, 1795-1832.
    • (1989) Ann. Stat. , vol.17 , pp. 1795-1832
    • Dekkers, A.1    de Haan, L.2
  • 62
    • 84959415910 scopus 로고    scopus 로고
    • Reduced-bias estimator of the conditional tail expectation of heavy-tailed distributions
    • In. Ed. D. Mason. Springer.
    • Deme, E., Girard, S. & Guillou, A. (2014). Reduced-bias estimator of the conditional tail expectation of heavy-tailed distributions. In Mathematical Statistics and Limit Theorems. Ed. D. Mason. Springer.
    • (2014) Mathematical Statistics and Limit Theorems
    • Deme, E.1    Girard, S.2    Guillou, A.3
  • 63
    • 30444434892 scopus 로고    scopus 로고
    • Quasi-conjugate Bayes estimates for GPD parameters and application to heavy tails modelling
    • Diebolt, J., El-Aroui, M.A., Garrido, M. & Girard, S. (2005). Quasi-conjugate Bayes estimates for GPD parameters and application to heavy tails modelling. Extremes, 8, 57-78.
    • (2005) Extremes , vol.8 , pp. 57-78
    • Diebolt, J.1    El-Aroui, M.2    Garrido, M.3    Girard, S.4
  • 64
    • 48249127254 scopus 로고    scopus 로고
    • Bias-reduced estimators of the Weibull tail-coefficient
    • Diebolt, J., Gardes, L., Girard, S. & Guillou, A. (2008a). Bias-reduced estimators of the Weibull tail-coefficient. TEST, 17, 311-331.
    • (2008) TEST , vol.17 , pp. 311-331
    • Diebolt, J.1    Gardes, L.2    Girard, S.3    Guillou, A.4
  • 65
    • 38349019581 scopus 로고    scopus 로고
    • Bias-reduced extreme quantiles estimators of Weibull tail-distributions
    • Diebolt, J., Gardes, L., Girard, S. & Guillou, A. (2008b). Bias-reduced extreme quantiles estimators of Weibull tail-distributions. J. Stat. Plann. Inference, 138, 1389-1401.
    • (2008) J. Stat. Plann. Inference , vol.138 , pp. 1389-1401
    • Diebolt, J.1    Gardes, L.2    Girard, S.3    Guillou, A.4
  • 66
    • 40749151450 scopus 로고    scopus 로고
    • Asymptotic behaviour of regular estimators
    • Diebolt, J., Guillou, A. (2005). Asymptotic behaviour of regular estimators. REVSTAT, 3(1), 19-44.
    • (2005) REVSTAT , vol.3 , Issue.1 , pp. 19-44
    • Diebolt, J.1    Guillou, A.2
  • 67
    • 69449086958 scopus 로고    scopus 로고
    • Improving probability-weighted moment methods for the generalized extreme value distribution
    • Diebolt, J., Guillou, A., Naveau, P. & Ribereau, P. (2008c). Improving probability-weighted moment methods for the generalized extreme value distribution. REVSTAT, 6(1), 33-50.
    • (2008) REVSTAT , vol.6 , Issue.1 , pp. 33-50
    • Diebolt, J.1    Guillou, A.2    Naveau, P.3    Ribereau, P.4
  • 68
    • 33751094894 scopus 로고    scopus 로고
    • Approximation of the distribution of excesses through a generalized probability-weighted moments method
    • Diebolt, J., Guillou, A. & Rached, I. (2007). Approximation of the distribution of excesses through a generalized probability-weighted moments method. J. Stat. Plann. Inference, 137, 841-857.
    • (2007) J. Stat. Plann. Inference , vol.137 , pp. 841-857
    • Diebolt, J.1    Guillou, A.2    Rached, I.3
  • 69
    • 84880933356 scopus 로고    scopus 로고
    • An asymptotically unbiased minimum density power divergence estimator for the Pareto-tail index
    • Dierckx, G., Goegebeur, Y. & Guillou, A. (2013). An asymptotically unbiased minimum density power divergence estimator for the Pareto-tail index. J. Multivariate Anal., 121, 70-86.
    • (2013) J. Multivariate Anal. , vol.121 , pp. 70-86
    • Dierckx, G.1    Goegebeur, Y.2    Guillou, A.3
  • 70
    • 26044458609 scopus 로고    scopus 로고
    • Testing extreme value conditions
    • Dietrich, D., de Haan, L. & Hüsler, J. (2002). Testing extreme value conditions. Extremes, 5, 71-85.
    • (2002) Extremes , vol.5 , pp. 71-85
    • Dietrich, D.1    de Haan, L.2    Hüsler, J.3
  • 71
    • 0242479576 scopus 로고    scopus 로고
    • Minimum distance estimators in extreme value distributions
    • Dietrich, D. & Hüsler, J. (1996). Minimum distance estimators in extreme value distributions. Comm. Stat. Theory Methods, 25, 695-703.
    • (1996) Comm. Stat. Theory Methods , vol.25 , pp. 695-703
    • Dietrich, D.1    Hüsler, J.2
  • 72
    • 0008708125 scopus 로고
    • On the estimation of the exceedance probability of a high level
    • In, Eds. P.K. Sen, I.A. Salama -, Amsterdam:Elsevier.
    • Dijk, V. & de Haan, L. (1992). On the estimation of the exceedance probability of a high level. In Order Statistics and Nonparametrics: Theory and Applications, Eds. P.K. Sen, I.A. Salama, pp. 79-92, Amsterdam:Elsevier.
    • (1992) Order Statistics and Nonparametrics: Theory and Applications , pp. 79-92
    • Dijk, V.1    de Haan, L.2
  • 73
    • 84903166022 scopus 로고    scopus 로고
    • Maximum likelihood estimators for the extreme value index based on the block maxima method
    • arXiv:1301.5611.
    • Dombry, C. (2013). Maximum likelihood estimators for the extreme value index based on the block maxima method. arXiv:1301.5611.
    • (2013)
    • Dombry, C.1
  • 74
    • 0001560652 scopus 로고    scopus 로고
    • A bootstrap-based method to achieve optimality in estimating the extreme value index
    • Draisma, G, de Haan, L., Peng, L. & Pereira, T.T. (1999). A bootstrap-based method to achieve optimality in estimating the extreme value index. Extremes, 2(4), 367-404.
    • (1999) Extremes , vol.2 , Issue.4 , pp. 367-404
    • Draisma, G.1    de Haan, L.2    Peng, L.3    Pereira, T.4
  • 75
    • 22244474071 scopus 로고    scopus 로고
    • On maximum likelihood estimation of the extreme value index
    • Drees, H., Ferreira, A. & de Haan, L. (2004). On maximum likelihood estimation of the extreme value index. Ann. Appl. Probab., 14, 1179-1201.
    • (2004) Ann. Appl. Probab. , vol.14 , pp. 1179-1201
    • Drees, H.1    Ferreira, A.2    de Haan, L.3
  • 76
    • 33745005744 scopus 로고    scopus 로고
    • Approximations to the tail empirical distribution function with application to testing extreme value conditions
    • Drees, H., de Haan, L. & Li, D. (2006). Approximations to the tail empirical distribution function with application to testing extreme value conditions. J. Stat. Plann. Inference, 136, 3498-3538.
    • (2006) J. Stat. Plann. Inference , vol.136 , pp. 3498-3538
    • Drees, H.1    de Haan, L.2    Li, D.3
  • 78
    • 0001061726 scopus 로고    scopus 로고
    • Selecting the optimal sample fraction in univariate extreme value estimation
    • Drees, H., Kaufmann, E. (1998). Selecting the optimal sample fraction in univariate extreme value estimation. Stochastic Process. Appl., 75, 149-172.
    • (1998) Stochastic Process. Appl. , vol.75 , pp. 149-172
    • Drees, H.1    Kaufmann, E.2
  • 79
    • 77955125737 scopus 로고    scopus 로고
    • Limit theorems for empirical processes of cluster functionals
    • Drees, H. & Rootzén, H. (2010). Limit theorems for empirical processes of cluster functionals. Ann. Stat., 38, 2145-2186.
    • (2010) Ann. Stat. , vol.38 , pp. 2145-2186
    • Drees, H.1    Rootzén, H.2
  • 80
    • 0000388228 scopus 로고    scopus 로고
    • Exceedances over high thresholds: a guide to threshold selection
    • Dupuis, D.J. (1998). Exceedances over high thresholds: a guide to threshold selection. Extremes, 1(3), 251-261.
    • (1998) Extremes , vol.1 , Issue.3 , pp. 251-261
    • Dupuis, D.1
  • 81
    • 0032275127 scopus 로고    scopus 로고
    • A comparison of confidence intervals for generalized extreme-value distributions
    • Dupuis, D.J. & Field, C.A. (1998). A comparison of confidence intervals for generalized extreme-value distributions. J. Stat. Comput. Simul., 61, 341-360.
    • (1998) J. Stat. Comput. Simul. , vol.61 , pp. 341-360
    • Dupuis, D.1    Field, C.2
  • 82
    • 0007226203 scopus 로고
    • Extremal processes
    • Dwass, M. (1964). Extremal processes. Ann. Math. Stat., 35, 1718-1725.
    • (1964) Ann. Math. Stat. , vol.35 , pp. 1718-1725
    • Dwass, M.1
  • 83
    • 41449091915 scopus 로고    scopus 로고
    • Statistics of extremes under random censoring
    • Einmahl, J.H.J., Fils-Villetard, A. & Guillou, A. (2008). Statistics of extremes under random censoring. Bernoulli, 14(1), 207-227.
    • (2008) Bernoulli , vol.14 , Issue.1 , pp. 207-227
    • Einmahl, J.1    Fils-Villetard, A.2    Guillou, A.3
  • 84
    • 70349775112 scopus 로고    scopus 로고
    • Records in athletics through extreme-value theory
    • Einmahl, J., Magnus, J.R. (2008). Records in athletics through extreme-value theory. J. Am. Stat. Assoc., 103, 1382-1391.
    • (2008) J. Am. Stat. Assoc. , vol.103 , pp. 1382-1391
    • Einmahl, J.1    Magnus, J.2
  • 85
    • 79251517124 scopus 로고    scopus 로고
    • Ultimate 100-m world records through extreme-value theory
    • Einmahl, J. & Smeets, S.G.W.R. (2011). Ultimate 100-m world records through extreme-value theory. Stat. Neerl., 65(1), 32-42.
    • (2011) Stat. Neerl. , vol.65 , Issue.1 , pp. 32-42
    • Einmahl, J.1    Smeets, S.2
  • 87
    • 17544363636 scopus 로고    scopus 로고
    • Practical extreme value modelling of hydrological floods and droughts: a case study
    • Engeland, K., Hisdal, H. & Frigessi, A. (2004). Practical extreme value modelling of hydrological floods and droughts: a case study. Extremes, 7(1), 5-30.
    • (2004) Extremes , vol.7 , Issue.1 , pp. 5-30
    • Engeland, K.1    Hisdal, H.2    Frigessi, A.3
  • 88
    • 38249009021 scopus 로고
    • On predictive distribution functions for the three asymptotic extreme value distributions
    • Engelund, S. & Rackwitz, R. (1992). On predictive distribution functions for the three asymptotic extreme value distributions. Struct. Saf., 11, 255-258.
    • (1992) Struct. Saf. , vol.11 , pp. 255-258
    • Engelund, S.1    Rackwitz, R.2
  • 89
    • 21344459831 scopus 로고
    • On testing the extreme value index via the POT-method
    • Falk, M. (1995a). On testing the extreme value index via the POT-method. Ann. Stat., 23, 2013-2035.
    • (1995) Ann. Stat. , vol.23 , pp. 2013-2035
    • Falk, M.1
  • 90
    • 0029423842 scopus 로고
    • LAN of extreme order statistics
    • Falk, M. (1995b). LAN of extreme order statistics. Ann. Inst. Stat. Math., 47, 693-717.
    • (1995) Ann. Inst. Stat. Math. , vol.47 , pp. 693-717
    • Falk, M.1
  • 91
    • 45049084714 scopus 로고    scopus 로고
    • A LAN based Neyman smooth test for the generalized Pareto distribution
    • Falk, M., Guillou, A., Toulemonde, G. (2008). A LAN based Neyman smooth test for the generalized Pareto distribution. J. Stat. Plann. Inference, 138, 2867-2886.
    • (2008) J. Stat. Plann. Inference , vol.138 , pp. 2867-2886
    • Falk, M.1    Guillou, A.2    Toulemonde, G.3
  • 93
    • 0036568355 scopus 로고    scopus 로고
    • Optimal asymptotic estimation of small exceedance probabilities
    • Ferreira, A. (2002). Optimal asymptotic estimation of small exceedance probabilities. J. Stat. Plann. Inference, 104, 83-102.
    • (2002) J. Stat. Plann. Inference , vol.104 , pp. 83-102
    • Ferreira, A.1
  • 94
    • 84865617646 scopus 로고    scopus 로고
    • On an extreme value version of the Birnbaum-Saunders distribution
    • Ferreira, M., Gomes, M.I. & Leiva, V. (2012). On an extreme value version of the Birnbaum-Saunders distribution. REVSTAT, 10(2), 181-210.
    • (2012) REVSTAT , vol.10 , Issue.2 , pp. 181-210
    • Ferreira, M.1    Gomes, M.2    Leiva, V.3
  • 95
    • 84903176149 scopus 로고    scopus 로고
    • On the block maxima method in extreme value theory
    • Ferreira, A. & de Haan, L. (2013). On the block maxima method in extreme value theory. arxiv.org/pdf/1310.3222.
    • (2013)
    • Ferreira, A.1    de Haan, L.2
  • 96
    • 0141480799 scopus 로고    scopus 로고
    • On optimizing the estimation of high quantiles of a probability distribution
    • Ferreira, A., de Haan, L. & Peng, L. (2003). On optimizing the estimation of high quantiles of a probability distribution. Statistics, 37(5), 401-434.
    • (2003) Statistics , vol.37 , Issue.5 , pp. 401-434
    • Ferreira, A.1    de Haan, L.2    Peng, L.3
  • 97
    • 0033424571 scopus 로고    scopus 로고
    • Estimating a tail exponent by modelling departure from a Pareto distribution
    • Feuerverger, A. & Hall, P. (1999). Estimating a tail exponent by modelling departure from a Pareto distribution. Ann. Stat., 27, 760-781.
    • (1999) Ann. Stat. , vol.27 , pp. 760-781
    • Feuerverger, A.1    Hall, P.2
  • 98
    • 84958156266 scopus 로고
    • Limiting forms of the frequency of the largest or smallest member of a sample
    • Fisher, R.A. & Tippett, L.H.C. (1928). Limiting forms of the frequency of the largest or smallest member of a sample. Math. Proc. Cambridge Philos. Soc., 24, 180-190.
    • (1928) Math. Proc. Cambridge Philos. Soc. , vol.24 , pp. 180-190
    • Fisher, R.1    Tippett, L.2
  • 99
    • 85028209877 scopus 로고
    • The influence of central observations on discrimination among multivariate extremal models
    • Fraga Alves, M.I. (1992). The influence of central observations on discrimination among multivariate extremal models. Theory Probab. Appl., 37, 334-337.
    • (1992) Theory Probab. Appl. , vol.37 , pp. 334-337
    • Fraga Alves, M.1
  • 100
    • 84964432912 scopus 로고    scopus 로고
    • Asymptotic distribution of Gumbel statistic in a semi-parametric approach
    • Fraga Alves, M.I. (1999). Asymptotic distribution of Gumbel statistic in a semi-parametric approach. Port. Math., 56(3), 282-298.
    • (1999) Port. Math. , vol.56 , Issue.3 , pp. 282-298
    • Fraga Alves, M.1
  • 101
    • 8344233641 scopus 로고    scopus 로고
    • A location invariant Hill-type estimator
    • Fraga Alves, M.I. (2001). A location invariant Hill-type estimator. Extremes, 4, (3), 199-217.
    • (2001) Extremes , vol.4 , Issue.3 , pp. 199-217
    • Fraga Alves, M.1
  • 102
    • 0345886922 scopus 로고    scopus 로고
    • Statistical choice of extreme value domains of attraction-a comparative analysis
    • Fraga Alves, M.I. & Gomes, M.I. (1996). Statistical choice of extreme value domains of attraction-a comparative analysis. Comm. Stat. Theory Methods, 25(4), 789-811.
    • (1996) Comm. Stat. Theory Methods , vol.25 , Issue.4 , pp. 789-811
    • Fraga Alves, M.1    Gomes, M.2
  • 103
    • 10244233506 scopus 로고    scopus 로고
    • A new class of semi-parametric estimators of the second order parameter
    • Fraga Alves, M.I., Gomes, M.I & de Haan, L. (2003a). A new class of semi-parametric estimators of the second order parameter. Port. Math., 60(2), 193-213.
    • (2003) Port. Math. , vol.60 , Issue.2 , pp. 193-213
    • Fraga Alves, M.1    Gomes, M.2    de Haan, L.3
  • 104
    • 67349213977 scopus 로고    scopus 로고
    • Mixed moment estimator and location invariant alternatives
    • Fraga Alves, M.I., Gomes, M.I, de Haan, L. & Neves, C. (2009). Mixed moment estimator and location invariant alternatives. Extremes, 12, 149-185.
    • (2009) Extremes , vol.12 , pp. 149-185
    • Fraga Alves, M.1    Gomes, M.2    de Haan, L.3    Neves, C.4
  • 105
    • 1442301389 scopus 로고    scopus 로고
    • Estimation of the parameter controlling the speed of convergence in extreme value theory
    • Fraga Alves, M.I., de Haan, L. & Lin, T. (2003b). Estimation of the parameter controlling the speed of convergence in extreme value theory. Math. Methods Stat., 12, 155-176.
    • (2003) Math. Methods Stat. , vol.12 , pp. 155-176
    • Fraga Alves, M.1    de Haan, L.2    Lin, T.3
  • 107
    • 84946573610 scopus 로고    scopus 로고
    • Estimation of the finite right endpoint in the Gumbel domain
    • Fraga Alves, M.I., Neves, C. (2013. Estimation of the finite right endpoint in the Gumbel domain. Stat. Sinica,. DOI: 10.5705/ss.2013.183.
    • (2013) Stat. Sinica,
    • Fraga Alves, M.1    Neves, C.2
  • 108
    • 0002689711 scopus 로고
    • Sur la loi de probabilité de l'écart maximum
    • Fréchet, M. (1927). Sur la loi de probabilité de l'écart maximum. Ann. Soc. Polon. Math., 6, 93-116.
    • (1927) Ann. Soc. Polon. Math. , vol.6 , pp. 93-116
    • Fréchet, M.1
  • 109
    • 36649016989 scopus 로고    scopus 로고
    • A dynamic mixture model for unsupervised tail estimation without threshold selection
    • Frigessi, A., Haug, O. & Rue, H. (2002). A dynamic mixture model for unsupervised tail estimation without threshold selection. Extremes, 5(3), 219-235.
    • (2002) Extremes , vol.5 , Issue.3 , pp. 219-235
    • Frigessi, A.1    Haug, O.2    Rue, H.3
  • 111
    • 0041079633 scopus 로고
    • A statistical test for extreme value distributions
    • In, Eds. B.V. Gnedenko, M.L. Puri, I. Vincze, Amsterdam: North-Holland.
    • Galambos, J. (1982). A statistical test for extreme value distributions. In Non-parametric Statistical Inference, Eds. B.V. Gnedenko, M.L. Puri, & I. Vincze, 221-230, Amsterdam: North-Holland.
    • (1982) Non-parametric Statistical Inference , pp. 221-230
    • Galambos, J.1
  • 112
    • 84859469806 scopus 로고
    • Rates of convergence in extreme value theory
    • Eds. J. Tiago de Oliveira, Dordrecht: D. Reidel.
    • Galambos, J. (1984). Rates of convergence in extreme value theory. In Statistical Extremes and Applications. Eds. J. Tiago de Oliveira, 347-352, Dordrecht: D. Reidel.
    • (1984) Statistical Extremes and Applications , pp. 347-352
    • Galambos, J.1
  • 113
    • 1542345529 scopus 로고    scopus 로고
    • A Hill type estimator of the Weibull tail-coefficient
    • Girard, S. (2004). A Hill type estimator of the Weibull tail-coefficient. Comm. Stat. Theory Methods, 33(2), 205-234.
    • (2004) Comm. Stat. Theory Methods , vol.33 , Issue.2 , pp. 205-234
    • Girard, S.1
  • 114
    • 0000005110 scopus 로고
    • Sur la distribution limite du terme maximum d'une série aléatoire
    • Gnedenko, B.V. (1943). Sur la distribution limite du terme maximum d'une série aléatoire. Ann. Math., 44, 423-453.
    • (1943) Ann. Math. , vol.44 , pp. 423-453
    • Gnedenko, B.1
  • 115
    • 77957167018 scopus 로고    scopus 로고
    • Generalized kernel estimators for the Weibull-tail coefficient
    • Goegebeur, Y., Beirlant, J. & de Wet, T. (2010). Generalized kernel estimators for the Weibull-tail coefficient. Comm. Stat. Theory Methods, 39, 3695-3716.
    • (2010) Comm. Stat. Theory Methods , vol.39 , pp. 3695-3716
    • Goegebeur, Y.1    Beirlant, J.2    de Wet, T.3
  • 116
    • 85028211816 scopus 로고
    • Some Probabilistic and Statistical Problems in Extreme Value Theory,Ph.D. Thesis, Univ. Sheffield.
    • Gomes, M.I. (1978). Some Probabilistic and Statistical Problems in Extreme Value Theory, Ph.D. Thesis, Univ. Sheffield.
    • (1978)
    • Gomes, M.1
  • 117
    • 1842389761 scopus 로고
    • An i-dimensional limiting distribution function of largest values and its relevance to the statistical theory of extremes
    • Eds. C. Taillie, G.P. Patil & B.A. Baldessari, vol.6, D. Reidel: Dordrecht.
    • Gomes, M.I. (1981). An i-dimensional limiting distribution function of largest values and its relevance to the statistical theory of extremes. In Statistical Distributions in Scientific Work. Eds. C. Taillie, G.P. Patil & B.A. Baldessari, 389-410, vol.6, D. Reidel: Dordrecht.
    • (1981) Statistical Distributions in Scientific Work , pp. 389-410
    • Gomes, M.1
  • 118
    • 25844454543 scopus 로고
    • A note on statistical choice of extremal models
    • In : Salamanca
    • Gomes, M.I. (1982). A note on statistical choice of extremal models. In Actas IX Jorn. Hispano-Lusas: Salamanca, Vol. II, pp. 653-655.
    • (1982) Actas IX Jorn. Hispano-Lusas , vol.2 , pp. 653-655
    • Gomes, M.1
  • 119
    • 3342944860 scopus 로고
    • Concomitants in a multidimensional extreme model
    • In, Ed. J. Tiago de Oliveira, Dordrecht:D. Reidel.
    • Gomes, M.I. (1984). Concomitants in a multidimensional extreme model. In Statistical Extremes and Applications, Ed. J. Tiago de Oliveira, 353-364, Dordrecht:D. Reidel.
    • (1984) Statistical Extremes and Applications , pp. 353-364
    • Gomes, M.1
  • 120
    • 51849182190 scopus 로고
    • Concomitants and linear estimators in an i-dimensional extremal model
    • Gomes, M.I. (1985a). Concomitants and linear estimators in an i-dimensional extremal model. Trabajos Estadist Investigación Oper., 36, 129-140.
    • (1985) Trabajos Estadist Investigación Oper. , vol.36 , pp. 129-140
    • Gomes, M.1
  • 121
    • 40749141557 scopus 로고
    • Statistical theory of extremes-comparison of two approaches
    • Gomes, M.I. (1985b). Statistical theory of extremes-comparison of two approaches. Stat. Decision, 2, 33-37.
    • (1985) Stat. Decision , vol.2 , pp. 33-37
    • Gomes, M.1
  • 122
    • 25844500734 scopus 로고
    • Extreme value theory-statistical choice
    • In, Ed. P. Revesz, K. Sarkadi & P.K. Sen, Amsterdam:North-Holland.
    • Gomes, M.I. (1987). Extreme value theory-statistical choice. In Goodness-of-Fit, Ed. P. Revesz, K. Sarkadi & P.K. Sen, 195-209. Amsterdam:North-Holland.
    • (1987) Goodness-of-Fit , pp. 195-209
    • Gomes, M.1
  • 123
    • 0041079634 scopus 로고
    • Comparison of extremal models through statistical choice in multidimensional backgrounds
    • In. Ed. J. Hüsler & R.-D. Reiss, Lecture Notes in Statistics 51 191-203. New-York: Springer-Verlag.
    • Gomes, M.I. (1989a). Comparison of extremal models through statistical choice in multidimensional backgrounds. In Extreme Value Theory, Proc. Oberwolfach. Ed. J. Hüsler & R.-D. Reiss, Lecture Notes in Statistics 51, pp. 191-203. New-York: Springer-Verlag.
    • (1989) Extreme Value Theory, Proc. Oberwolfach
    • Gomes, M.1
  • 124
    • 40849124467 scopus 로고
    • Generalized Gumbel and likelihood ratio test statistics in the multivariate GEV model
    • Gomes, M.I. (1989b). Generalized Gumbel and likelihood ratio test statistics in the multivariate GEV model. Comput. Stat. Data Anal., 7, 259-267.
    • (1989) Comput. Stat. Data Anal. , vol.7 , pp. 259-267
    • Gomes, M.1
  • 125
    • 0002100961 scopus 로고
    • Penultimate behaviour of the extremes
    • In. edited by J. Galambos, J. Lechner & E. Simiu, The Netherlands:Kluwer.
    • Gomes, M.I. (1994). Penultimate behaviour of the extremes. In Extreme Value Theory and Applications. edited by J. Galambos, J. Lechner & E. Simiu, 403-418, The Netherlands:Kluwer.
    • (1994) Extreme Value Theory and Applications , pp. 403-418
    • Gomes, M.1
  • 126
    • 0039892617 scopus 로고
    • Inference in multivariate generalized extreme value models-asymptotic properties of two test statistics
    • Gomes, M.I. & Alpuim, M.T. (1986). Inference in multivariate generalized extreme value models-asymptotic properties of two test statistics. Scand. J. Stat., 13, 291-300.
    • (1986) Scand. J. Stat. , vol.13 , pp. 291-300
    • Gomes, M.1    Alpuim, M.2
  • 127
    • 40749089607 scopus 로고    scopus 로고
    • Statistics of extremes for iid data and breakthroughs in the estimation of the extreme value index: Laurens de Haan leading contributions
    • Gomes, M.I., Canto e Castro, L., Fraga Alves, M.I & Pestana, D. (2008a). Statistics of extremes for iid data and breakthroughs in the estimation of the extreme value index: Laurens de Haan leading contributions. Extremes, 11(1), 3-34.
    • (2008) Extremes , vol.11 , Issue.1 , pp. 3-34
    • Gomes, M.1    Canto e Castro, L.2    Fraga Alves, M.3    Pestana, D.4
  • 128
    • 33845642085 scopus 로고    scopus 로고
    • Bias reduction in risk modelling: semi-parametric quantile estimation
    • Gomes, M.I. & Figueiredo, F. (2006). Bias reduction in risk modelling: semi-parametric quantile estimation. TEST, 15(2), 375-396.
    • (2006) TEST , vol.15 , Issue.2 , pp. 375-396
    • Gomes, M.1    Figueiredo, F.2
  • 129
    • 84868622348 scopus 로고    scopus 로고
    • Adaptive estimation of heavy right tails: resampling-based methods in action
    • Gomes, M.I., Figueiredo, F. & Neves, M.M. (2012). Adaptive estimation of heavy right tails: resampling-based methods in action. Extremes, 15, 463-489.
    • (2012) Extremes , vol.15 , pp. 463-489
    • Gomes, M.1    Figueiredo, F.2    Neves, M.3
  • 131
    • 0013134878 scopus 로고    scopus 로고
    • Approximation by penultimate extreme-value distributions
    • Gomes, M.I. & de Haan, L. (1999). Approximation by penultimate extreme-value distributions. Extremes, 2(1), 71-85.
    • (1999) Extremes , vol.2 , Issue.1 , pp. 71-85
    • Gomes, M.1    de Haan, L.2
  • 132
    • 37849040464 scopus 로고    scopus 로고
    • Tail index estimation for heavy-tailed models: accommodation of bias in weighted log-excesses
    • Gomes, M.I., de Haan, L. & Henriques Rodrigues, L. (2008c). Tail index estimation for heavy-tailed models: accommodation of bias in weighted log-excesses. J. R. Stat. Soc. Ser. B. Stat. Method., 70(1), 31-52.
    • (2008) J. R. Stat. Soc. Ser. B. Stat. Method. , vol.70 , Issue.1 , pp. 31-52
    • Gomes, M.1    de Haan, L.2    Henriques Rodrigues, L.3
  • 133
    • 10244241162 scopus 로고    scopus 로고
    • Semi-parametric estimation of the second order parameter in statistics of extremes
    • Gomes, M.I., de Haan, L. & Peng, L. (2002). Semi-parametric estimation of the second order parameter in statistics of extremes. Extremes, 5(4), 387-414.
    • (2002) Extremes , vol.5 , Issue.4 , pp. 387-414
    • Gomes, M.1    de Haan, L.2    Peng, L.3
  • 134
    • 35748939728 scopus 로고    scopus 로고
    • Subsampling techniques and the Jackknife methodology in the estimation of the extremal index
    • Gomes, M.I., Hall, A. & Miranda, C. (2008d). Subsampling techniques and the Jackknife methodology in the estimation of the extremal index. Comput. Stat. Data Anal., 52(4), 2022-2041.
    • (2008) Comput. Stat. Data Anal. , vol.52 , Issue.4 , pp. 2022-2041
    • Gomes, M.1    Hall, A.2    Miranda, C.3
  • 135
    • 84878971195 scopus 로고    scopus 로고
    • Adaptive PORT-MVRB estimation: an empirical comparison of two heuristic algorithms
    • Gomes, M.I., Henriques-Rodrigues, L., Fraga Alves, M.I. & Manjunath, B.G. (2013). Adaptive PORT-MVRB estimation: an empirical comparison of two heuristic algorithms. J. Stat. Comput. Simul., 83(6), 1129-1144.
    • (2013) J. Stat. Comput. Simul. , vol.83 , Issue.6 , pp. 1129-1144
    • Gomes, M.1    Henriques-Rodrigues, L.2    Fraga Alves, M.3    Manjunath, B.4
  • 136
    • 79751471276 scopus 로고    scopus 로고
    • Reduced-bias location-invariant extreme value index estimation: a simulation study
    • Gomes, M.I., Henriques-Rodrigues, L. & Miranda, C. (2011). Reduced-bias location-invariant extreme value index estimation: a simulation study. Comm. Stat. Simul. Comput., 40(3), 424-447.
    • (2011) Comm. Stat. Simul. Comput. , vol.40 , Issue.3 , pp. 424-447
    • Gomes, M.1    Henriques-Rodrigues, L.2    Miranda, C.3
  • 137
    • 39449117370 scopus 로고    scopus 로고
    • A heuristic adaptive choice of the threshold for bias-corrected Hill estimators
    • Gomes, M.I., Henriques Rodrigues, L., Vandewalle, B. & Viseu, C. (2008e). A heuristic adaptive choice of the threshold for bias-corrected Hill estimators. J. Stat. Comput. Simul., 78(2), 133-150.
    • (2008) J. Stat. Comput. Simul. , vol.78 , Issue.2 , pp. 133-150
    • Gomes, M.1    Henriques Rodrigues, L.2    Vandewalle, B.3    Viseu, C.4
  • 138
    • 0002639503 scopus 로고    scopus 로고
    • Alternatives to a semi-parametric estimator of parameters of rare events: the Jackknife methodology
    • Gomes, M.I., Martins, M.J. & Neves, M. (2000). Alternatives to a semi-parametric estimator of parameters of rare events: the Jackknife methodology. Extremes, 3, 207-229.
    • (2000) Extremes , vol.3 , pp. 207-229
    • Gomes, M.1    Martins, M.2    Neves, M.3
  • 139
    • 39449112523 scopus 로고    scopus 로고
    • Improving second order reduced bias extreme value index estimation
    • Gomes, M.I., Martins, M.J. & Neves, M.M. (2007a). Improving second order reduced bias extreme value index estimation. REVSTAT, 5(2), 177-207.
    • (2007) REVSTAT , vol.5 , Issue.2 , pp. 177-207
    • Gomes, M.1    Martins, M.2    Neves, M.3
  • 141
    • 84859464833 scopus 로고    scopus 로고
    • Estimation of the extreme value index for randomly censored data
    • Gomes, M.I. & Neves, M.M. (2011). Estimation of the extreme value index for randomly censored data. Biometrical Lett., 48(1), 1-22.
    • (2011) Biometrical Lett. , vol.48 , Issue.1 , pp. 1-22
    • Gomes, M.1    Neves, M.2
  • 142
    • 0013127441 scopus 로고    scopus 로고
    • The bootstrap methodology in statistics of extremes-choice of the optimal sample fraction
    • Gomes, M.I. & Oliveira, O. (2001). The bootstrap methodology in statistics of extremes-choice of the optimal sample fraction. Extremes, 4(4), 331-358.
    • (2001) Extremes , vol.4 , Issue.4 , pp. 331-358
    • Gomes, M.1    Oliveira, O.2
  • 143
    • 33947256203 scopus 로고    scopus 로고
    • A sturdy reduced-bias extreme quantile (VaR) estimator
    • Gomes, M.I., Pestana, D. (2007). A sturdy reduced-bias extreme quantile (VaR) estimator. J. Am. Stat. Assoc., 102(477), 280-292.
    • (2007) J. Am. Stat. Assoc. , vol.102 , Issue.477 , pp. 280-292
    • Gomes, M.1    Pestana, D.2
  • 145
    • 0018713386 scopus 로고
    • Probability weighted moments: definition and relation to parameters of several distributions expressable in inverse form
    • Greenwood, J.A., Landwehr, J.M., Matalas, N.C. & Wallis, J.R. (1979). Probability weighted moments: definition and relation to parameters of several distributions expressable in inverse form. Water Resour. Res., 15, 1049-1054.
    • (1979) Water Resour. Res. , vol.15 , pp. 1049-1054
    • Greenwood, J.1    Landwehr, J.2    Matalas, N.3    Wallis, J.4
  • 146
    • 84952103052 scopus 로고
    • Computing maximum likelihood estimates for the generalized Pareto distribution
    • Grimshaw, S. (1993). Computing maximum likelihood estimates for the generalized Pareto distribution. Technometrics, 35(2), 185-191.
    • (1993) Technometrics , vol.35 , Issue.2 , pp. 185-191
    • Grimshaw, S.1
  • 147
    • 0006346870 scopus 로고
    • Max-semistable laws corresponding to linear and power normalizations
    • Grinevigh, I.V. (1992a). Max-semistable laws corresponding to linear and power normalizations. Theory Probab. Appl., 37, 720-721.
    • (1992) Theory Probab. Appl. , vol.37 , pp. 720-721
    • Grinevigh, I.1
  • 148
    • 0000890307 scopus 로고
    • Domains of attraction of max-semistable laws under linear and power normalizations
    • Grinevigh, I.V. (1992b). Domains of attraction of max-semistable laws under linear and power normalizations. Theory Probab. Appl., 38, 640-650.
    • (1992) Theory Probab. Appl. , vol.38 , pp. 640-650
    • Grinevigh, I.1
  • 149
    • 1442308353 scopus 로고    scopus 로고
    • Kernel-type estimators for the extreme value index
    • Groeneboom, P., Lopuha, H.P & de Wolf, P.P. (2003). Kernel-type estimators for the extreme value index. Ann. Stat., 31, 1956-1995.
    • (2003) Ann. Stat. , vol.31 , pp. 1956-1995
    • Groeneboom, P.1    Lopuha, H.2    de Wolf, P.3
  • 150
    • 0035532134 scopus 로고    scopus 로고
    • A diagnostic for selecting the threshold in extreme-value analysis
    • Guillou, A. & Hall, P. (2001). A diagnostic for selecting the threshold in extreme-value analysis. J. R. Stat. Soc. Ser. B. Stat. Method., 63, 293-305.
    • (2001) J. R. Stat. Soc. Ser. B. Stat. Method. , vol.63 , pp. 293-305
    • Guillou, A.1    Hall, P.2
  • 152
    • 0000543271 scopus 로고
    • A quick estimation of the parameters in Fréchet's distribution
    • Gumbel, E.J. (1965). A quick estimation of the parameters in Fréchet's distribution. Rev. Inst. Internat. Stat., 33, 349-363.
    • (1965) Rev. Inst. Internat. Stat. , vol.33 , pp. 349-363
    • Gumbel, E.1
  • 154
    • 0003032284 scopus 로고
    • Slow variation and characterization of domains of attraction
    • Ed. J. Tiago de Oliveira, Dordrecht, Holland: D. Reidel.
    • de Haan, L. (1984). Slow variation and characterization of domains of attraction. In Statistical Extremes and Applications. Ed. J. Tiago de Oliveira, 31-48, Dordrecht, Holland: D. Reidel.
    • (1984) Statistical Extremes and Applications , pp. 31-48
    • de Haan, L.1
  • 158
    • 0000439164 scopus 로고
    • On estimating the endpoint of a distribution
    • Hall, P. (1982). On estimating the endpoint of a distribution. Ann. Stat., 10, 556-568.
    • (1982) Ann. Stat. , vol.10 , pp. 556-568
    • Hall, P.1
  • 159
    • 0000831975 scopus 로고
    • Using the bootstrap to estimate mean-squared error and select smoothing parameter in non-parametric problems
    • Hall, P. (1990). Using the bootstrap to estimate mean-squared error and select smoothing parameter in non-parametric problems. J. Multivariate Anal., 32, 177-203.
    • (1990) J. Multivariate Anal. , vol.32 , pp. 177-203
    • Hall, P.1
  • 160
    • 0000817285 scopus 로고
    • Adaptive estimates of parameters of regular variation
    • Hall, P. & Welsh, A.W. (1985). Adaptive estimates of parameters of regular variation. Ann. Stat., 13, 331-341.
    • (1985) Ann. Stat. , vol.13 , pp. 331-341
    • Hall, P.1    Welsh, A.2
  • 161
    • 0000017257 scopus 로고
    • A test for extreme value domain of attraction
    • Hasofer, A.M. & Wang, Z. (1992). A test for extreme value domain of attraction. J. Amer. Stat. Assoc., 87, 171-177.
    • (1992) J. Amer. Stat. Assoc. , vol.87 , pp. 171-177
    • Hasofer, A.1    Wang, Z.2
  • 162
    • 0033566872 scopus 로고    scopus 로고
    • Method of medians for lifetime data with Weibull models
    • He, X. & Fung, W.K. (1999). Method of medians for lifetime data with Weibull models. Stat. Med., 18, 1993-2009.
    • (1999) Stat. Med. , vol.18 , pp. 1993-2009
    • He, X.1    Fung, W.2
  • 163
    • 84859462918 scopus 로고    scopus 로고
    • High quantile estimation and the PORT methodology
    • 3)
    • Henriques-Rodrigues, L., Gomes, M.I. (2009). High quantile estimation and the PORT methodology. REVSTAT, 7(3), 245-264.
    • (2009) REVSTAT , vol.7 , pp. 245-264
    • Henriques-Rodrigues, L.1    Gomes, M.2
  • 165
    • 80055057083 scopus 로고    scopus 로고
    • Statistics of extremes in athletics
    • Henriques-Rodrigues, L., Gomes, M.I. & Pestana, D. (2011). Statistics of extremes in athletics. REVSTAT, 9(2), 127-153.
    • (2011) REVSTAT , vol.9 , Issue.2 , pp. 127-153
    • Henriques-Rodrigues, L.1    Gomes, M.2    Pestana, D.3
  • 166
    • 0001263124 scopus 로고
    • A simple general approach to inference about the tail of a distribution
    • Hill, B. (1975). A simple general approach to inference about the tail of a distribution. Ann. Stat., 3, 1163-1174.
    • (1975) Ann. Stat. , vol.3 , pp. 1163-1174
    • Hill, B.1
  • 167
    • 0042513218 scopus 로고
    • Testing whether the shape parameter is zero in the generalized extreme value distribution
    • Hosking, J.R.M. (1984). Testing whether the shape parameter is zero in the generalized extreme value distribution. Biometrika, 71, 367-374.
    • (1984) Biometrika , vol.71 , pp. 367-374
    • Hosking, J.1
  • 168
    • 0001070119 scopus 로고
    • Algorithm AS 215: maximum likelihood estimation of the parameters of the generalized extreme value distribution
    • Hosking, J.R.M. (1985). Algorithm AS 215: maximum likelihood estimation of the parameters of the generalized extreme value distribution. J. R. Stat. Soc. Ser. C. Appl. Stat., 34, 301-310.
    • (1985) J. R. Stat. Soc. Ser. C. Appl. Stat. , vol.34 , pp. 301-310
    • Hosking, J.1
  • 169
    • 0023400777 scopus 로고
    • Parameter and quantile estimation for the generalized Pareto distribution
    • Hosking, J.R.M. & Wallis, J.R. (1987). Parameter and quantile estimation for the generalized Pareto distribution. Technometrics, 29, 339-349.
    • (1987) Technometrics , vol.29 , pp. 339-349
    • Hosking, J.1    Wallis, J.2
  • 170
    • 0022113451 scopus 로고
    • Estimation of the generalized extreme-value distribution by the method of probability-weighted moments
    • Hosking, J.R.M., Wallis, J.R. & Wood, E.F. (1985). Estimation of the generalized extreme-value distribution by the method of probability-weighted moments. Technometrics, 27, 251-261.
    • (1985) Technometrics , vol.27 , pp. 251-261
    • Hosking, J.1    Wallis, J.2    Wood, E.3
  • 171
    • 33751529730 scopus 로고    scopus 로고
    • On testing extreme value conditions
    • Hüsler, J. & Li, D. (2006). On testing extreme value conditions. Extremes, 9, 69-86.
    • (2006) Extremes , vol.9 , pp. 69-86
    • Hüsler, J.1    Li, D.2
  • 172
    • 40849145281 scopus 로고    scopus 로고
    • Review of testing issues in extremes: in honor of Professor Laurens de Haan
    • Hüsler, J. & Peng, L. (2008). Review of testing issues in extremes: in honor of Professor Laurens de Haan. Extremes, 11(1), 99-111.
    • (2008) Extremes , vol.11 , Issue.1 , pp. 99-111
    • Hüsler, J.1    Peng, L.2
  • 173
    • 84904261422 scopus 로고
    • The frequency distribution of the annual maximum (or minimum) values of meteorological elements
    • Jenkinson, A.F. (1955). The frequency distribution of the annual maximum (or minimum) values of meteorological elements. Q. J. R. Meteorolog. Soc., 81, 158-171.
    • (1955) Q. J. R. Meteorolog. Soc. , vol.81 , pp. 158-171
    • Jenkinson, A.1
  • 174
    • 67650071479 scopus 로고    scopus 로고
    • Estimating the mean of heavy-tailed distributions
    • Johansson, J. (2003). Estimating the mean of heavy-tailed distributions. Extremes, 6, 91-109.
    • (2003) Extremes , vol.6 , pp. 91-109
    • Johansson, J.1
  • 175
    • 29144515629 scopus 로고    scopus 로고
    • Robust and efficient estimation for the generalized Pareto distribution
    • Juárez, S.F., Schucany, W.R. (2004). Robust and efficient estimation for the generalized Pareto distribution. Extremes, 7(3), 237-251.
    • (2004) Extremes , vol.7 , Issue.3 , pp. 237-251
    • Juárez, S.1    Schucany, W.2
  • 176
    • 11144277816 scopus 로고    scopus 로고
    • A class of tests on the tail index
    • Jurečková, J. & Picek, J. (2001). A class of tests on the tail index. Extremes, 4, (2), 165-183.
    • (2001) Extremes , vol.4 , Issue.2 , pp. 165-183
    • Jurečková, J.1    Picek, J.2
  • 177
    • 40749085187 scopus 로고    scopus 로고
    • Penultimate approximations in extreme value theory
    • Kaufmann, E. (2000). Penultimate approximations in extreme value theory. Extremes, 3(1), 39-55.
    • (2000) Extremes , vol.3 , Issue.1 , pp. 39-55
    • Kaufmann, E.1
  • 178
    • 0040521600 scopus 로고
    • Correlation coefficient goodness-of-fit test for the extreme value distribution
    • Kinnison, R. (1989). Correlation coefficient goodness-of-fit test for the extreme value distribution. Am. Stat., 43, 98-100.
    • (1989) Am. Stat. , vol.43 , pp. 98-100
    • Kinnison, R.1
  • 179
    • 0000094540 scopus 로고
    • On extreme order statistics
    • Lamperti, J. (1964). On extreme order statistics. Ann. Math. Stat., 35, 1726-1737.
    • (1964) Ann. Math. Stat. , vol.35 , pp. 1726-1737
    • Lamperti, J.1
  • 180
    • 0018721622 scopus 로고
    • Probability weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantiles
    • Landwher, J., Matalas, N. & Wallis, J. (1979). Probability weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantiles. Water Resour. Res., 15, 1055-1064.
    • (1979) Water Resour. Res. , vol.15 , pp. 1055-1064
    • Landwher, J.1    Matalas, N.2    Wallis, J.3
  • 182
    • 0009134743 scopus 로고
    • On exceedance point processes for stationary sequences under mild oscillation restrictions
    • Ed., J. Hüsler & R.-D. Reiss, New York: Springer-Verlag.
    • Leadbetter, M.R. & Nandagopalan, S. (1989). On exceedance point processes for stationary sequences under mild oscillation restrictions. In Extreme Value Theory, Ed., J. Hüsler & R.-D. Reiss, 69-80, New York: Springer-Verlag.
    • (1989) Extreme Value Theory , pp. 69-80
    • Leadbetter, M.1    Nandagopalan, S.2
  • 183
    • 60949107783 scopus 로고    scopus 로고
    • Does bias reduction with external estimator of second order parameter work for endpoint
    • Li, D. & Peng, L. (2009). Does bias reduction with external estimator of second order parameter work for endpointJ. Stat. Plann. Inference, 139, 1937-1952.
    • (2009) J. Stat. Plann. Inference , vol.139 , pp. 1937-1952
    • Li, D.1    Peng, L.2
  • 184
    • 80052674743 scopus 로고    scopus 로고
    • Empirical likelihood confidence intervals for the endpoint of a distribution function
    • Li, D., Peng, L. & Qi, Y. (2011). Empirical likelihood confidence intervals for the endpoint of a distribution function. TEST, 20, 353-366.
    • (2011) TEST , vol.20 , pp. 353-366
    • Li, D.1    Peng, L.2    Qi, Y.3
  • 185
    • 77952550506 scopus 로고    scopus 로고
    • Bias reduction for high quantiles
    • Li, D., Peng, L. & Yang, J. (2010). Bias reduction for high quantiles. J. Stat. Plann. Inference, 140, 2433-2441.
    • (2010) J. Stat. Plann. Inference , vol.140 , pp. 2433-2441
    • Li, D.1    Peng, L.2    Yang, J.3
  • 186
    • 84860618637 scopus 로고    scopus 로고
    • Location invariant Weiss-Hill estimator
    • Ling, C., Peng, Z. & Nadarahja, S. (2012). Location invariant Weiss-Hill estimator. Extremes, 15, 197-230.
    • (2012) Extremes , vol.15 , pp. 197-230
    • Ling, C.1    Peng, Z.2    Nadarahja, S.3
  • 187
    • 84980189014 scopus 로고
    • Bayesian prediction regions for the extreme order statistics
    • Lingappaiah, G.S. (1984). Bayesian prediction regions for the extreme order statistics. Biometrical J., 26, 49-56.
    • (1984) Biometrical J. , vol.26 , pp. 49-56
    • Lingappaiah, G.1
  • 188
    • 33750309627 scopus 로고    scopus 로고
    • Fitting the generalized Pareto distribution to data using maximum goodness-of-fit estimators
    • Luceño, A. (2006). Fitting the generalized Pareto distribution to data using maximum goodness-of-fit estimators. Comput. Stat. Data Anal., 51, 904-917.
    • (2006) Comput. Stat. Data Anal. , vol.51 , pp. 904-917
    • Luceño, A.1
  • 189
    • 0027841415 scopus 로고
    • Bayes estimation of the extreme-value reliability function
    • Lye, L.M., Hapuarachchi, K.P. & Ryan, S. (1993). Bayes estimation of the extreme-value reliability function. IEEE Trans. Reliab., 42, 641-644.
    • (1993) IEEE Trans. Reliab. , vol.42 , pp. 641-644
    • Lye, L.1    Hapuarachchi, K.2    Ryan, S.3
  • 190
    • 0000552449 scopus 로고
    • A remark on the algorithm AS 215: maximum likelihood estimation of the parameters of the generalized extreme value distribution
    • Macleod, A.J (1989). A remark on the algorithm AS 215: maximum likelihood estimation of the parameters of the generalized extreme value distribution. Appl. Stat., 38, 198-199.
    • (1989) Appl. Stat. , vol.38 , pp. 198-199
    • Macleod, A.1
  • 192
    • 0040485622 scopus 로고    scopus 로고
    • On testing the exponential and Gumbel distribution
    • Wiley. In. Ed. J. Galambos, J. Lechner & E. Simiu, Dordrecht: Kluwer.
    • Marohn, F. Wiley. On testing the exponential and Gumbel distribution. In Extreme Value Theory. Ed. J. Galambos, J. Lechner & E. Simiu, 159-174. Dordrecht: Kluwer.
    • Extreme Value Theory , pp. 159-174
    • Marohn, F.1
  • 193
    • 0032393547 scopus 로고    scopus 로고
    • An adaptive efficient test for Gumbel domain of attraction
    • Marohn, F (1998a). An adaptive efficient test for Gumbel domain of attraction. Scand. J. Stat., 25, 311-324.
    • (1998) Scand. J. Stat. , vol.25 , pp. 311-324
    • Marohn, F.1
  • 194
    • 0141469085 scopus 로고    scopus 로고
    • Testing the Gumbel hypothesis via the POT-method
    • Marohn, F. (1998b). Testing the Gumbel hypothesis via the POT-method. Extremes, 1(2), 191-213.
    • (1998) Extremes , vol.1 , Issue.2 , pp. 191-213
    • Marohn, F.1
  • 195
    • 34548159972 scopus 로고    scopus 로고
    • Testing extreme value models
    • Marohn, F. (2000). Testing extreme value models. Extremes, 3(4), 363-384.
    • (2000) Extremes , vol.3 , Issue.4 , pp. 363-384
    • Marohn, F.1
  • 196
    • 0034019933 scopus 로고    scopus 로고
    • Generalized maximum-likelihood generalized extreme-value quantile estimators for hydrologic data
    • Martins, E.S. & Stedinger, J.R. (2000). Generalized maximum-likelihood generalized extreme-value quantile estimators for hydrologic data. Water Resour. Res., 36(3), 737-744.
    • (2000) Water Resour. Res. , vol.36 , Issue.3 , pp. 737-744
    • Martins, E.1    Stedinger, J.2
  • 197
    • 0141573196 scopus 로고    scopus 로고
    • Estimating the extreme value index and high quantiles with exponential regression models
    • Matthys, G. & Beirlant, J. (2003). Estimating the extreme value index and high quantiles with exponential regression models. Stat. Sinica, 13, 853-880.
    • (2003) Stat. Sinica , vol.13 , pp. 853-880
    • Matthys, G.1    Beirlant, J.2
  • 198
    • 2642586330 scopus 로고    scopus 로고
    • Estimating catastrophic quantile levels for heavy-tailed distributions
    • Matthys, G., Delafosse, M., Guillou, A. & Beirlant, J. (2004). Estimating catastrophic quantile levels for heavy-tailed distributions. Insurance Math. Econ., 34, 517-537.
    • (2004) Insurance Math. Econ. , vol.34 , pp. 517-537
    • Matthys, G.1    Delafosse, M.2    Guillou, A.3    Beirlant, J.4
  • 199
    • 85011501232 scopus 로고    scopus 로고
    • Estimating the tails of loss severity distributions using extreme value theory
    • McNeil, A.J. (1997). Estimating the tails of loss severity distributions using extreme value theory. Astin Bull., 27, 117-137.
    • (1997) Astin Bull. , vol.27 , pp. 117-137
    • McNeil, A.1
  • 200
    • 0014883762 scopus 로고
    • On testing that the distribution of extremes is of type I when type II is the alternative
    • van Montfort, M.A.J. (1970). On testing that the distribution of extremes is of type I when type II is the alternative. J. Hydro., 11, 421-427.
    • (1970) J. Hydro. , vol.11 , pp. 421-427
    • van Montfort, M.1
  • 201
    • 85028213713 scopus 로고
    • Anasymmetric test on the type of distribution of extremes
    • Technical Report 73-18, Medelelugen Landbbouwhoge-School Wageningen.
    • van Montfort, M.A.J. (1973). Anasymmetric test on the type of distribution of extremes, Technical Report 73-18, Medelelugen Landbbouwhoge-School Wageningen.
    • (1973)
    • van Montfort, M.1
  • 202
    • 0022044011 scopus 로고
    • Statistical choice of extremal models for complete and censored data
    • van Montfort, M.A.J., Gomes, M.I. (1985). Statistical choice of extremal models for complete and censored data. J. Hydro., 77, 77-87.
    • (1985) J. Hydro. , vol.77 , pp. 77-87
    • van Montfort, M.1    Gomes, M.2
  • 203
    • 26444483060 scopus 로고
    • On testing a shape parameter in the presence of a location and scale parameter
    • van Montfort, M.A.J. & Otten, A. (1978). On testing a shape parameter in the presence of a location and scale parameter. Math. Operationsforsch. Stat. Ser. Stat., 9, 91-104.
    • (1978) Math. Operationsforsch. Stat. Ser. Stat. , vol.9 , pp. 91-104
    • van Montfort, M.1    Otten, A.2
  • 204
    • 0022077001 scopus 로고
    • Testing exponentiality against generalized Pareto distribution
    • van Montfort, M.A.J. & Witter, J.V. (1985). Testing exponentiality against generalized Pareto distribution. J. Hydro., 78, 305-315.
    • (1985) J. Hydro. , vol.78 , pp. 305-315
    • van Montfort, M.1    Witter, J.2
  • 205
    • 0003921755 scopus 로고
    • Multivariate Extremes and Estimation of the Extremal Index
    • Ph.D. Thesis, Univ. North Carolina at Chapel Hill.
    • Nandagopalan, S. (1990). Multivariate Extremes and Estimation of the Extremal Index, Ph.D. Thesis, Univ. North Carolina at Chapel Hill.
    • (1990)
    • Nandagopalan, S.1
  • 206
    • 34547261050 scopus 로고    scopus 로고
    • Semi-parametric approach to the Hasofer-Wang and Greenwood statistics in extremes
    • Neves, C. & Fraga Alves, M.I. (2007). Semi-parametric approach to the Hasofer-Wang and Greenwood statistics in extremes. TEST, 16, 297-313.
    • (2007) TEST , vol.16 , pp. 297-313
    • Neves, C.1    Fraga Alves, M.2
  • 207
    • 59449096338 scopus 로고    scopus 로고
    • Testing extreme value conditions-an overview and recent approaches
    • Neves, C. & Fraga Alves, M.I. (2008). Testing extreme value conditions-an overview and recent approaches. REVSTAT, 6(1), 83-100.
    • (2008) REVSTAT , vol.6 , Issue.1 , pp. 83-100
    • Neves, C.1    Fraga Alves, M.2
  • 208
    • 29444435094 scopus 로고    scopus 로고
    • The contribution of the maximum to the sum of excesses for testing max-domains of attraction
    • Neves, C., Picek, J. & Fraga Alves, M.I. (2006). The contribution of the maximum to the sum of excesses for testing max-domains of attraction. J. Stat. Plann. Inference, 136(4), 1281-1301.
    • (2006) J. Stat. Plann. Inference , vol.136 , Issue.4 , pp. 1281-1301
    • Neves, C.1    Picek, J.2    Fraga Alves, M.3
  • 209
    • 2542591355 scopus 로고
    • The power of two tests on the type of distributions of extremes
    • Otten, A. & van Montfort, M.A.J. (1978). The power of two tests on the type of distributions of extremes. J. Hydro., 37, 195-199.
    • (1978) J. Hydro. , vol.37 , pp. 195-199
    • Otten, A.1    van Montfort, M.2
  • 210
    • 0038754845 scopus 로고
    • Multivariate max-semistable distributions
    • Pancheva, E. (1992). Multivariate max-semistable distributions. Theory Probab. Appl., 37, 794-795.
    • (1992) Theory Probab. Appl. , vol.37 , pp. 794-795
    • Pancheva, E.1
  • 211
    • 84859447043 scopus 로고    scopus 로고
    • Max-semistability: a survey
    • Pancheva, E. (2010). Max-semistability: a survey. ProbStat, 3, 11-24.
    • (2010) ProbStat , vol.3 , pp. 11-24
    • Pancheva, E.1
  • 212
    • 0032087519 scopus 로고    scopus 로고
    • Asymptotically unbiased estimators for the extreme-value index
    • Peng, L. (1998). Asymptotically unbiased estimators for the extreme-value index. Stat. Probab. Lett., 38(2), 107-115.
    • (1998) Stat. Probab. Lett. , vol.38 , Issue.2 , pp. 107-115
    • Peng, L.1
  • 213
    • 0041364621 scopus 로고    scopus 로고
    • Estimating the mean of a heavy-tailed distribution
    • Peng, L. (2001). Estimating the mean of a heavy-tailed distribution. Stat. Probab. Lett., 52, 255-264.
    • (2001) Stat. Probab. Lett. , vol.52 , pp. 255-264
    • Peng, L.1
  • 214
    • 0012861318 scopus 로고    scopus 로고
    • Robust estimation of the generalized Pareto distribution
    • Peng, L. & Welsh, A.W. (2001). Robust estimation of the generalized Pareto distribution. Extremes, 4, (1), 53-65.
    • (2001) Extremes , vol.4 , Issue.1 , pp. 53-65
    • Peng, L.1    Welsh, A.2
  • 215
    • 0001075431 scopus 로고
    • Statistical inference using extreme order statistics
    • Pickands, J., III (1975). Statistical inference using extreme order statistics. Ann. Stat., 3, 119-131.
    • (1975) Ann. Stat. , vol.3 , pp. 119-131
    • Pickands, J.I.1
  • 216
    • 0005396594 scopus 로고
    • Bayes quantile estimation and threshold selection for the generalized Pareto family
    • Ed, J. Galambos & S. Leigh & E. Simiu, Amsterdam:Kluwer.
    • Pickands, J. III (1994). Bayes quantile estimation and threshold selection for the generalized Pareto family. In Extreme Value Theory and Applications, Ed, J. Galambos & S. Leigh & E. Simiu, 123-138, Amsterdam:Kluwer.
    • (1994) Extreme Value Theory and Applications , pp. 123-138
    • Pickands, J.1
  • 217
    • 0000590745 scopus 로고
    • Maximum likelihood estimation of the parameters of the generalized extreme-value distribution
    • Prescott, P., Walden, A.T. (1980). Maximum likelihood estimation of the parameters of the generalized extreme-value distribution. Biometrika, 67, 723-724.
    • (1980) Biometrika , vol.67 , pp. 723-724
    • Prescott, P.1    Walden, A.2
  • 218
    • 0001343627 scopus 로고
    • Maximum likelihood estimation of the parameters of the three-parameter generalized extreme-value distribution from censored samples
    • Prescott, P. & Walden, A.T. (1983). Maximum likelihood estimation of the parameters of the three-parameter generalized extreme-value distribution from censored samples. J. Stat. Comput. Simul., 16, 241-250.
    • (1983) J. Stat. Comput. Simul. , vol.16 , pp. 241-250
    • Prescott, P.1    Walden, A.2
  • 219
    • 0344514150 scopus 로고    scopus 로고
    • Rate of convergence for the generalized Pareto approximation of the excesses
    • Raoult, J.P., Worms, R. (2003). Rate of convergence for the generalized Pareto approximation of the excesses. Adv. Appl. Probab., 35(4), 1007-1027.
    • (2003) Adv. Appl. Probab. , vol.35 , Issue.4 , pp. 1007-1027
    • Raoult, J.1    Worms, R.2
  • 220
    • 84876124174 scopus 로고    scopus 로고
    • Penultimate approximations in statistics of extremes and reliability of large coherent systems
    • Reis, P., Canto e Castro, L., Dias, S. & Gomes, M.I. (2013). Penultimate approximations in statistics of extremes and reliability of large coherent systems. Method. Comput. Appl. Probab,. DOI: 10.1007/s11009-013-9338-7.
    • (2013) Method. Comput. Appl. Probab,
    • Reis, P.1    Canto e Castro, L.2    Dias, S.3    Gomes, M.4
  • 222
    • 85011465011 scopus 로고    scopus 로고
    • A new class of Bayesian estimators in Paretian excess-of-loss reinsurance
    • Reiss, R.-D. & Thomas, M. (1999). A new class of Bayesian estimators in Paretian excess-of-loss reinsurance. Astin Bull., 29(2), 339-349.
    • (1999) Astin Bull. , vol.29 , Issue.2 , pp. 339-349
    • Reiss, R.-D.1    Thomas, M.2
  • 224
    • 0031512270 scopus 로고    scopus 로고
    • Heavy tail modeling and teletraffic data
    • Resnick, S.I. (1997). Heavy tail modeling and teletraffic data. Ann. Stat., 25(5), 1805-1869.
    • (1997) Ann. Stat. , vol.25 , Issue.5 , pp. 1805-1869
    • Resnick, S.1
  • 226
    • 0002433744 scopus 로고    scopus 로고
    • Extreme value statistics and wind storm losses: a case study
    • Rootzén, H., Tajvidi, N. (1997). Extreme value statistics and wind storm losses: a case study. Scand. Actuar. J., 1, 70-94.
    • (1997) Scand. Actuar. J. , vol.1 , pp. 70-94
    • Rootzén, H.1    Tajvidi, N.2
  • 227
    • 84859464622 scopus 로고    scopus 로고
    • A review of extreme value threshold estimation and uncertainty quantification
    • Scarrot, C. & McDonald, A. (2012). A review of extreme value threshold estimation and uncertainty quantification. REVSTAT, 10(2), 33-60.
    • (2012) REVSTAT , vol.10 , Issue.2 , pp. 33-60
    • Scarrot, C.1    McDonald, A.2
  • 228
    • 29444457489 scopus 로고    scopus 로고
    • Testing the Gumbel hypothesis by Galton's ratio
    • Segers, J. & Teugels, J. (2000). Testing the Gumbel hypothesis by Galton's ratio. Extremes, 3(3), 291-303.
    • (2000) Extremes , vol.3 , Issue.3 , pp. 291-303
    • Segers, J.1    Teugels, J.2
  • 229
    • 0001040399 scopus 로고    scopus 로고
    • Parameter estimation for 2-parameter generalized Pareto distribution by POME
    • Singh, V.P. & Guo, H. (1997). Parameter estimation for 2-parameter generalized Pareto distribution by POME. Stochastic Hydrol. Hydraulics, 11(2), 211-227.
    • (1997) Stochastic Hydrol. Hydraulics , vol.11 , Issue.2 , pp. 211-227
    • Singh, V.1    Guo, H.2
  • 230
    • 0001558246 scopus 로고
    • Threshold methods for sample extremes
    • Ed. J. Tiago de Oliveira, Dordrecht: D. Reidel.
    • Smith, R.L. (1984). Threshold methods for sample extremes. In Statistical Extremes and Applications. Ed. J. Tiago de Oliveira, 621-638, Dordrecht: D. Reidel.
    • (1984) Statistical Extremes and Applications , pp. 621-638
    • Smith, R.1
  • 231
    • 0000704345 scopus 로고
    • Maximum likelihood estimation in a class of nonregular cases
    • Smith, R.L. (1985). Maximum likelihood estimation in a class of nonregular cases. Biometrika, 72, 67-90.
    • (1985) Biometrika , vol.72 , pp. 67-90
    • Smith, R.1
  • 232
    • 0022923232 scopus 로고
    • Extreme value theory based on the r largest annual events
    • Smith, R.L. (1986). Extreme value theory based on the r largest annual events. J. Hydro., 86, 27-43.
    • (1986) J. Hydro. , vol.86 , pp. 27-43
    • Smith, R.1
  • 233
    • 0001258027 scopus 로고
    • Estimating tails of probability distributions
    • Smith, R.L. (1987a). Estimating tails of probability distributions. Ann. Stat., 15, 1174-1207.
    • (1987) Ann. Stat. , vol.15 , pp. 1174-1207
    • Smith, R.1
  • 235
    • 0012950799 scopus 로고    scopus 로고
    • Bayesian and frequentist approaches to parametric predictive inference
    • Eds. J.M. Bernardo, J.O. Berger, A.P. Dawid & A.F. Smith, U.K: Oxford Press.
    • Smith, R.L. (1999). Bayesian and frequentist approaches to parametric predictive inference. In Bayesian Statistics 6. Eds. J.M. Bernardo, J.O. Berger, A.P. Dawid & A.F. Smith, 589-612, U.K: Oxford Press.
    • (1999) Bayesian Statistics 6 , pp. 589-612
    • Smith, R.1
  • 236
    • 4243291725 scopus 로고    scopus 로고
    • Bayesian risk analysis
    • In. Eds. P. Embrechts, London: Risk Books.
    • Smith, R.L. & Goodman, D.J. (2000). Bayesian risk analysis. In Extremes and Integrated Risk Management. Eds. P. Embrechts, 235-251, London: Risk Books.
    • (2000) Extremes and Integrated Risk Management , pp. 235-251
    • Smith, R.1    Goodman, D.2
  • 237
    • 0023532708 scopus 로고
    • A comparison of maximum likelihood and Bayesian estimators for the three parameter Weibull distribution
    • Smith, R.L. & Naylor, J.C. (1987). A comparison of maximum likelihood and Bayesian estimators for the three parameter Weibull distribution. J. R. Stat. Soc. Ser. C. Appl. Stat., 36, 358-369.
    • (1987) J. R. Stat. Soc. Ser. C. Appl. Stat. , vol.36 , pp. 358-369
    • Smith, R.1    Naylor, J.2
  • 238
    • 11244326956 scopus 로고    scopus 로고
    • A diagnostic plot for estimating the tail index of a distribution
    • de Sousa, B. & Michailids, G. (2004). A diagnostic plot for estimating the tail index of a distribution. J. Comput. Graph. Stat., 13(4), 974-995.
    • (2004) J. Comput. Graph. Stat. , vol.13 , Issue.4 , pp. 974-995
    • de Sousa, B.1    Michailids, G.2
  • 239
    • 0001237510 scopus 로고
    • Asymptotic results for goodness-of-fit statistics with unknown parameters
    • Stephens, M.A. (1976). Asymptotic results for goodness-of-fit statistics with unknown parameters. Ann. Stat., 4, 357-369.
    • (1976) Ann. Stat. , vol.4 , pp. 357-369
    • Stephens, M.1
  • 240
    • 0017753852 scopus 로고
    • Goodness-of-fit for the extreme value distribution
    • Stephens, M.A. (1977). Goodness-of-fit for the extreme value distribution. Biometrika, 64, 583-588.
    • (1977) Biometrika , vol.64 , pp. 583-588
    • Stephens, M.1
  • 241
    • 0002481519 scopus 로고
    • Tests for the exponential distribution
    • Eds. R.B. D'Agostinho, M.A. Stephens, New York: Marcel Dekker.
    • Stephens, M.A. (1986). Tests for the exponential distribution. In Goodness-of-Fit Techniques. Eds. R.B. D'Agostinho, M.A. Stephens, 421-459, New York: Marcel Dekker.
    • (1986) Goodness-of-Fit Techniques , pp. 421-459
    • Stephens, M.1
  • 242
    • 26444468064 scopus 로고    scopus 로고
    • Bayesian inference for extremes: accounting for the three extremal types
    • Stephenson, A. & Tawn, J. (2004). Bayesian inference for extremes: accounting for the three extremal types. Extremes, 7(4), 291-307.
    • (2004) Extremes , vol.7 , Issue.4 , pp. 291-307
    • Stephenson, A.1    Tawn, J.2
  • 243
    • 37849187877 scopus 로고    scopus 로고
    • Accounting for threshold uncertainty in extreme value estimation
    • Tancredi, A., Anderson, C. & O'Hagan, T. (2006). Accounting for threshold uncertainty in extreme value estimation. Extremes, 9, 87-106.
    • (2006) Extremes , vol.9 , pp. 87-106
    • Tancredi, A.1    Anderson, C.2    O'Hagan, T.3
  • 244
    • 0024165315 scopus 로고
    • An extreme value theory model for dependent observations
    • Tawn, J. (1988). An extreme value theory model for dependent observations. J. Hydro., 101, 227-250.
    • (1988) J. Hydro. , vol.101 , pp. 227-250
    • Tawn, J.1
  • 245
    • 0037795398 scopus 로고    scopus 로고
    • Max-semistable laws in extremes of stationary random sequences
    • Temido, M.G. & Canto e Castro, L. (2003). Max-semistable laws in extremes of stationary random sequences. Theory Probab. Appl., 47(2), 365-374.
    • (2003) Theory Probab. Appl. , vol.47 , Issue.2 , pp. 365-374
    • Temido, M.1    Canto e Castro, L.2
  • 246
    • 25844488632 scopus 로고
    • Statistical choice of univariate extreme models
    • Eds. C. Taillie, G.P. Patil & B.A. Baldessari, vol.6, Dordrecht-Boston: Reidel.
    • Tiago de Oliveira, J. (1981). Statistical choice of univariate extreme models. In Statistical Distributions in Scientific Work. Eds. C. Taillie, G.P. Patil & B.A. Baldessari, 367-387, vol.6, Dordrecht-Boston: Reidel.
    • (1981) Statistical Distributions in Scientific Work , pp. 367-387
    • Tiago de Oliveira, J.1
  • 247
    • 68649103178 scopus 로고
    • Univariate extremes: statistical choice
    • Ed. J. Tiago de Oliveira, Dordrecht: D. Reidel.
    • Tiago de Oliveira, J. (1984). Univariate extremes: statistical choice. In Statistical Extremes and Application. Ed. J. Tiago de Oliveira, 91-107, Dordrecht: D. Reidel.
    • (1984) Statistical Extremes and Application , pp. 91-107
    • Tiago de Oliveira, J.1
  • 248
    • 26444584067 scopus 로고
    • Two test statistics for choice of univariate extreme models
    • Ed. J. Tiago de Oliveira, Dordrecht: D. Reidel.
    • Tiago de Oliveira, J., Gomes, M.I. (1984). Two test statistics for choice of univariate extreme models. In Statistical Extremes and Application. Ed. J. Tiago de Oliveira, 651-668, Dordrecht: D. Reidel.
    • (1984) Statistical Extremes and Application , pp. 651-668
    • Tiago de Oliveira, J.1    Gomes, M.2
  • 250
    • 0034364928 scopus 로고    scopus 로고
    • Modelling extreme wind speeds in regions prone to hurricanes
    • Walshaw, D. (2000). Modelling extreme wind speeds in regions prone to hurricanes. J. R. Stat. Soc. Ser. C. Appl. Stat., 49, 51-62.
    • (2000) J. R. Stat. Soc. Ser. C. Appl. Stat. , vol.49 , pp. 51-62
    • Walshaw, D.1
  • 251
    • 21844515008 scopus 로고
    • Selection of the k largest order statistics for the domain of attraction of the Gumbel distribution
    • Wang, J.Z. (1995). Selection of the k largest order statistics for the domain of attraction of the Gumbel distribution. J. Am. Stat. Assoc., 90, 1055-1061.
    • (1995) J. Am. Stat. Assoc. , vol.90 , pp. 1055-1061
    • Wang, J.1
  • 252
    • 6844224429 scopus 로고    scopus 로고
    • Determination of domains of attraction based on a sequence of maxima
    • Wang, J.Z., Cooke, P. & Li, S. (1996). Determination of domains of attraction based on a sequence of maxima. Austral. J. Stat., 38, 173-181.
    • (1996) Austral. J. Stat. , vol.38 , pp. 173-181
    • Wang, J.1    Cooke, P.2    Li, S.3
  • 253
    • 84936167519 scopus 로고
    • Estimation of parameters and large quantiles based on the k largest observations
    • Weissman, I. (1978). Estimation of parameters and large quantiles based on the k largest observations. J. Am. Stat. Assoc., 73, 812-815.
    • (1978) J. Am. Stat. Assoc. , vol.73 , pp. 812-815
    • Weissman, I.1
  • 254
    • 40749127993 scopus 로고
    • Statistical estimation in extreme value theory
    • Ed. J. Tiago de Oliveira, Dordrecht: D. Reidel.
    • Weissman, I. (1984). Statistical estimation in extreme value theory. In Statistical Extremes and Applications. Ed. J. Tiago de Oliveira, 109-115, Dordrecht: D. Reidel.
    • (1984) Statistical Extremes and Applications , pp. 109-115
    • Weissman, I.1
  • 255
    • 0043032889 scopus 로고    scopus 로고
    • Bayesian approach to parameter estimation of the generalized Pareto distribution
    • de Zea Bermudez, P. & Amaral-Turkman, M.A. (2003). Bayesian approach to parameter estimation of the generalized Pareto distribution. TEST, 12, 259-277.
    • (2003) TEST , vol.12 , pp. 259-277
    • de Zea Bermudez, P.1    Amaral-Turkman, M.2
  • 256
    • 34547243356 scopus 로고    scopus 로고
    • A predictive approach to tail probability estimation
    • de Zea Bermudez, P., Amaral-Turkman, M.A. & Turkman, K.F. (2001). A predictive approach to tail probability estimation. Extremes, 4(4), 295-314.
    • (2001) Extremes , vol.4 , Issue.4 , pp. 295-314
    • de Zea Bermudez, P.1    Amaral-Turkman, M.2    Turkman, K.3
  • 257
    • 58349122872 scopus 로고    scopus 로고
    • Existence and consistency of the maximum likelihood estimator for the extreme value index
    • Zhou, C. (2009). Existence and consistency of the maximum likelihood estimator for the extreme value index. J. Multivariate Anal., 100(4), 794-815.
    • (2009) J. Multivariate Anal. , vol.100 , Issue.4 , pp. 794-815
    • Zhou, C.1
  • 258
    • 74449088650 scopus 로고    scopus 로고
    • The extent of the maximum likelihood estimator for the extreme value index
    • Zhou, C. (2010). The extent of the maximum likelihood estimator for the extreme value index. J. Multivariate Anal., 101(4), 971-983.
    • (2010) J. Multivariate Anal. , vol.101 , Issue.4 , pp. 971-983
    • Zhou, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.