메뉴 건너뛰기




Volumn 13, Issue 2, 2010, Pages 177-204

Conditional extremes from heavy-tailed distributions: An application to the estimation of extreme rainfall return levels

Author keywords

Conditional extreme quantiles; Extreme rainfalls; Heavy tailed distribution; Nearest neighbor estimator

Indexed keywords


EID: 77951975843     PISSN: 13861999     EISSN: 1572915X     Source Type: Journal    
DOI: 10.1007/s10687-010-0100-z     Document Type: Article
Times cited : (73)

References (35)
  • 1
    • 0037471446 scopus 로고    scopus 로고
    • Regression with response distributions of Pareto-type
    • Beirlant, J., Goegebeur, Y.: Regression with response distributions of Pareto-type. Comput. Stat. Data Anal. 42, 595-619 (2003).
    • (2003) Comput. Stat. Data Anal. , vol.42 , pp. 595-619
    • Beirlant, J.1    Goegebeur, Y.2
  • 2
    • 1442331022 scopus 로고    scopus 로고
    • Local polynomial maximum likelihood estimation for Pareto-type distributions
    • Beirlant, J., Goegebeur, Y.: Local polynomial maximum likelihood estimation for Pareto-type distributions. J. Multivar. Anal. 89, 97-118 (2004).
    • (2004) J. Multivar. Anal. , vol.89 , pp. 97-118
    • Beirlant, J.1    Goegebeur, Y.2
  • 3
    • 2642550931 scopus 로고    scopus 로고
    • On exponential representations of log-spacings of extreme order statistics
    • Beirlant, J., Dierckx, G., Guillou, A., Stǎricǎ, C.: On exponential representations of log-spacings of extreme order statistics. Extremes 5, 157-180 (2002).
    • (2002) Extremes , vol.5 , pp. 157-180
    • Beirlant, J.1    Dierckx, G.2    Guillou, A.3    Stǎricǎ, C.4
  • 4
    • 0003355131 scopus 로고
    • Regular variation
    • R. Doran, P. Flajolet, M. Ismail, T.-Y. Lam, E. Lutwak, and G. C. Rota (Eds.), Cambridge: Cambridge University Press
    • Bingham, N. H., Goldie, C. M., Teugels, J. L.: Regular variation. In: Doran, R., Flajolet, P., Ismail, M., Lam, T.-Y., Lutwak, E., Rota, G. C. (eds) Encyclopedia of Mathematics and Its Applications, vol. 27. Cambridge University Press, Cambridge (1987).
    • (1987) Encyclopedia of Mathematics and Its Applications , vol.27
    • Bingham, N.H.1    Goldie, C.M.2    Teugels, J.L.3
  • 6
    • 67449110829 scopus 로고    scopus 로고
    • On spatial extremes: With application to a rainfall problem
    • Buishand, T. A., de Haan, L., Zhou, C.: On spatial extremes: with application to a rainfall problem. Ann. Appl. Stat. 2, 624-642 (2008).
    • (2008) Ann. Appl. Stat. , vol.2 , pp. 624-642
    • Buishand, T.A.1    de Haan, L.2    Zhou, C.3
  • 7
  • 8
    • 0142219342 scopus 로고    scopus 로고
    • Anticipating catastrophes through extreme value modelling
    • Coles, S., Pericchi, L. R.: Anticipating catastrophes through extreme value modelling. Appl. Stat. 52, 405-416 (2003).
    • (2003) Appl. Stat. , vol.52 , pp. 405-416
    • Coles, S.1    Pericchi, L.R.2
  • 9
    • 0039607949 scopus 로고    scopus 로고
    • A Bayesian analysis of extreme rainfall data
    • Coles, S., Tawn, J.: A Bayesian analysis of extreme rainfall data. Appl. Stat. 45, 463-478 (1996).
    • (1996) Appl. Stat. , vol.45 , pp. 463-478
    • Coles, S.1    Tawn, J.2
  • 10
    • 0037466132 scopus 로고    scopus 로고
    • A fully probabilistic approach to extreme rainfall modeling
    • Coles, S., Pericchi, L. R., Sisson, S.: A fully probabilistic approach to extreme rainfall modeling. J. Hydrol. 273, 35-50 (2003).
    • (2003) J. Hydrol. , vol.273 , pp. 35-50
    • Coles, S.1    Pericchi, L.R.2    Sisson, S.3
  • 11
    • 11444256387 scopus 로고
    • On the log-gamma distribution and its properties
    • Consul, P. C., Jain, G. C.: On the log-gamma distribution and its properties. Stat. Hefe 12(2), 100-106 (1971).
    • (1971) Stat. Hefe , vol.12 , Issue.2 , pp. 100-106
    • Consul, P.C.1    Jain, G.C.2
  • 12
    • 34548761070 scopus 로고    scopus 로고
    • Bayesian spatial modeling of extreme precipitation return levels
    • Cooley, D., Nychka, D., Naveau, P.: Bayesian spatial modeling of extreme precipitation return levels. J. Am. Stat. Assoc. 102, 824-840 (2007).
    • (2007) J. Am. Stat. Assoc. , vol.102 , pp. 824-840
    • Cooley, D.1    Nychka, D.2    Naveau, P.3
  • 13
    • 0034360750 scopus 로고    scopus 로고
    • Local likelihood smoothing of sample extremes
    • Davison, A. C., Ramesh, N. I.: Local likelihood smoothing of sample extremes. J. R. Stat. Soc., Ser. B 62, 191-208 (2000).
    • (2000) J. R. Stat. Soc., Ser. B , vol.62 , pp. 191-208
    • Davison, A.C.1    Ramesh, N.I.2
  • 14
    • 0000617024 scopus 로고
    • Models for exceedances over high thresholds
    • Davison, A. C., Smith, R. L.: Models for exceedances over high thresholds. J. R. Stat. Soc., Ser. B 52, 393-442 (1990).
    • (1990) J. R. Stat. Soc., Ser. B , vol.52 , pp. 393-442
    • Davison, A.C.1    Smith, R.L.2
  • 15
    • 0001591373 scopus 로고
    • On the estimation of the extreme-value index and large quantile estimation
    • Dekkers, A., de Haan, L.: On the estimation of the extreme-value index and large quantile estimation. Ann. Stat. 17, 1795-1832 (1989).
    • (1989) Ann. Stat. , vol.17 , pp. 1795-1832
    • Dekkers, A.1    de Haan, L.2
  • 16
    • 38349019581 scopus 로고    scopus 로고
    • Bias-reduced extreme quantiles estimators of Weibull distributions
    • Diebolt, J., Gardes, L., Girard, S., Guillou, A.: Bias-reduced extreme quantiles estimators of Weibull distributions. J. Stat. Plan. Inference 138, 1389-1401 (2008).
    • (2008) J. Stat. Plan. Inference , vol.138 , pp. 1389-1401
    • Diebolt, J.1    Gardes, L.2    Girard, S.3    Guillou, A.4
  • 18
    • 33947182886 scopus 로고    scopus 로고
    • Improved estimation for temporally clustered extremes
    • Fawcett, L., Walshaw, D.: Improved estimation for temporally clustered extremes. Environmetrics 18, 173-188 (2007).
    • (2007) Environmetrics , vol.18 , pp. 173-188
    • Fawcett, L.1    Walshaw, D.2
  • 19
    • 54249122227 scopus 로고
    • A note on the asymptotic behavior of conditional extremes
    • Gangopadhyay, A. K.: A note on the asymptotic behavior of conditional extremes. Stat. Probab. Lett. 25, 163-170 (1995).
    • (1995) Stat. Probab. Lett. , vol.25 , pp. 163-170
    • Gangopadhyay, A.K.1
  • 20
    • 20344404197 scopus 로고    scopus 로고
    • Estimating extreme quantiles of Weibull tail-distributions
    • Gardes, L., Girard, S.: Estimating extreme quantiles of Weibull tail-distributions. Commun. Stat. Theory Methods 34, 1065-1080 (2005).
    • (2005) Commun. Stat. Theory Methods , vol.34 , pp. 1065-1080
    • Gardes, L.1    Girard, S.2
  • 21
    • 70449517376 scopus 로고    scopus 로고
    • Functional nonparametric estimation of conditional extreme quantiles
    • Gardes L., Girard, S., Lekina, A.: Functional nonparametric estimation of conditional extreme quantiles. J. Multivar. Anal. 101, 419-433 (2010).
    • (2010) J. Multivar. Anal. , vol.101 , pp. 419-433
    • Gardes, L.1    Girard, S.2    Lekina, A.3
  • 22
    • 0003326493 scopus 로고
    • Regular variation, extensions and Tauberian theorems
    • Amsterdam: Centre for Mathematics and Computer Science
    • Geluk, J. L., de Haan, L.: Regular variation, extensions and Tauberian theorems. In: Math Centre Tracts, vol. 40. Centre for Mathematics and Computer Science, Amsterdam (1987).
    • (1987) Math Centre Tracts , vol.40
    • Geluk, J.L.1    de Haan, L.2
  • 23
    • 1542345529 scopus 로고    scopus 로고
    • A Hill type estimate of the Weibull tail-coefficient
    • Girard, S.: A Hill type estimate of the Weibull tail-coefficient. Commun. Stat. Theory Methods 33, 205-234 (2004).
    • (2004) Commun. Stat. Theory Methods , vol.33 , pp. 205-234
    • Girard, S.1
  • 24
    • 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.: Semi-parametric estimation of the second order parameter in statistics of extremes. Extremes 5, 387-414 (2003).
    • (2003) Extremes , vol.5 , pp. 387-414
    • Gomes, M.I.1    de Haan, L.2    Peng, L.3
  • 25
    • 10244232943 scopus 로고    scopus 로고
    • Bias reduction of a tail index estimator through an external estimation of the second-order parameter
    • Gomes, M. I., Caeiro, F., Figueiredo, F.: Bias reduction of a tail index estimator through an external estimation of the second-order parameter. Statistics 38, 497-510 (2004).
    • (2004) Statistics , vol.38 , pp. 497-510
    • Gomes, M.I.1    Caeiro, F.2    Figueiredo, F.3
  • 26
    • 0000972155 scopus 로고    scopus 로고
    • Nonparametric analysis of temporal trend when fitting parametric models to extreme-value data
    • Hall, P., Tajvidi, N.: Nonparametric analysis of temporal trend when fitting parametric models to extreme-value data. Stat. Sci. 15, 153-167 (2000).
    • (2000) Stat. Sci. , vol.15 , pp. 153-167
    • Hall, P.1    Tajvidi, N.2
  • 27
    • 0001263124 scopus 로고
    • A simple general approach to inference about the tail of a distribution
    • Hill, B. M.: A simple general approach to inference about the tail of a distribution. Ann. Stat. 3, 1163-1174 (1975).
    • (1975) Ann. Stat. , vol.3 , pp. 1163-1174
    • Hill, B.M.1
  • 28
    • 0000562848 scopus 로고    scopus 로고
    • The QQ-estimator and heavy tails
    • Kratz, M., Resnick, S.: The QQ-estimator and heavy tails. Stoch. Models 12, 699-724 (1996).
    • (1996) Stoch. Models , vol.12 , pp. 699-724
    • Kratz, M.1    Resnick, S.2
  • 29
    • 0001681560 scopus 로고
    • A nonparametric estimate of a multivariate density function
    • Loftsgaarden, D., Quesenberry, C.: A nonparametric estimate of a multivariate density function. Ann. Math. Stat. 36, 1049-1051 (1965).
    • (1965) Ann. Math. Stat. , vol.36 , pp. 1049-1051
    • Loftsgaarden, D.1    Quesenberry, C.2
  • 31
    • 77951978159 scopus 로고    scopus 로고
    • Likelihood-based inference for max-stable processes
    • in press
    • Padoan, S., Ribatet, M., Sisson, S.: Likelihood-based inference for max-stable processes. J. Am. Stat. Assoc. (2010, in press).
    • (2010) J. Am. Stat. Assoc.
    • Padoan, S.1    Ribatet, M.2    Sisson, S.3
  • 32
    • 0242280328 scopus 로고    scopus 로고
    • On least squares estimates of an exponential tail coefficient
    • Schultze, J., Steinebach, J.: On least squares estimates of an exponential tail coefficient. Stat. Decis. 14, 353-372 (1996).
    • (1996) Stat. Decis. , vol.14 , pp. 353-372
    • Schultze, J.1    Steinebach, J.2
  • 33
    • 84972496066 scopus 로고
    • Extreme value analysis of environmental time series: An application to trend detection in ground-level ozone (with discussion)
    • Smith, R. L.: Extreme value analysis of environmental time series: an application to trend detection in ground-level ozone (with discussion). Stat. Sci. 4, 367-393 (1989).
    • (1989) Stat. Sci. , vol.4 , pp. 367-393
    • Smith, R.L.1
  • 34
    • 0000388992 scopus 로고
    • Consistent nonparametric regression
    • Stone, C.: Consistent nonparametric regression. Ann. Stat. 5, 595-645 (1977).
    • (1977) Ann. Stat. , vol.5 , pp. 595-645
    • Stone, C.1
  • 35
    • 84936167519 scopus 로고
    • Estimation of parameters and large quantiles based on the k largest observations
    • Weissman, I.: Estimation of parameters and large quantiles based on the k largest observations. J. Am. Stat. Assoc. 73, 812-815 (1978).
    • (1978) J. Am. Stat. Assoc. , vol.73 , pp. 812-815
    • Weissman, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.