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Volumn 51, Issue 2, 2009, Pages 252-272

Extreme value analysis in biometrics

Author keywords

Exceedances; Goodness of fit; Modeling with trend; Multivariate extreme values; Peaks over thresholds

Indexed keywords

EXCEEDANCE; EXTREME VALUE; EXTREME-VALUE ANALYSIS; GOODNESS OF FIT; I.I.D RANDOM VARIABLES; I.I.D. RANDOM VARIABLES; MODELING WITH TREND; MULTIVARIATE EXTREME VALUE; MULTIVARIATE EXTREMES; PEAKS OVER THRESHOLD;

EID: 66349098439     PISSN: 03233847     EISSN: 15214036     Source Type: Journal    
DOI: 10.1002/bimj.200800239     Document Type: Article
Times cited : (4)

References (66)
  • 1
    • 33747711341 scopus 로고    scopus 로고
    • A new method for modelling the space variability of significant wave height
    • Baxevani, A., Rychlik, I. and Wilson, R. J. (2005). A new method for modelling the space variability of significant wave height. Extremes 8, 267-294.
    • (2005) Extremes , vol.8 , pp. 267-294
    • Baxevani, A.1    Rychlik, I.2    Wilson, R.J.3
  • 2
    • 2642550931 scopus 로고    scopus 로고
    • On exponential representations of log-spacings of extremes order statistics
    • Beirlant, J., Dierchx, G., Guillou, A. and Starica C. (2002). On exponential representations of log-spacings of extremes order statistics. Extremes 5, 157-180.
    • (2002) Extremes , vol.5 , pp. 157-180
    • Beirlant, J.1    Dierchx, G.2    Guillou, A.3    Starica, C.4
  • 6
    • 67449110829 scopus 로고    scopus 로고
    • On spatial extremes: with application to a rainfall problem
    • Buishand, T. A., de Haan, L. and Zhou, C. (2008). On spatial extremes: with application to a rainfall problem. Annals of Applied Statistics 2, 624-642.
    • (2008) Annals of Applied Statistics , vol.2 , pp. 624-642
    • Buishand, T.A.1    de Haan, L.2    Zhou, C.3
  • 7
    • 0035517051 scopus 로고    scopus 로고
    • Goodness-of-fit tests for the generalized Pareto distribution
    • Choulakian, V. and Stephens, M. (2001). Goodness-of-fit tests for the generalized Pareto distribution. Technometrics 43, 478-484.
    • (2001) Technometrics , vol.43 , pp. 478-484
    • Choulakian, V.1    Stephens, M.2
  • 8
    • 85163227371 scopus 로고    scopus 로고
    • Data on
    • Coles, S. (1999). Data on www.maths.lanc.ac.uk/coles/
    • (1999)
    • Coles, S.1
  • 10
    • 85163231151 scopus 로고    scopus 로고
    • Models for extremes of non-stationary pollution series
    • in: Reiss, R.-D. and Thomas, M.,(Eds.), 2nd Edn. Birkhäuser, Basel
    • Coles, S. (2001b). Models for extremes of non-stationary pollution series, in: Reiss, R.-D. and Thomas, M.,(Eds.), Statistical Analysis of Extreme Values, 2nd Edn., Birkhäuser, Basel.
    • (2001) Statistical Analysis of Extreme Values
    • Coles, S.1
  • 11
    • 0001870612 scopus 로고    scopus 로고
    • Dependence measures for extreme value analysis
    • Coles, S., Heffernan, J. and Tawn, J. A. (1999). Dependence measures for extreme value analysis. Extremes 2, 339-366.
    • (1999) Extremes , vol.2 , pp. 339-366
    • Coles, S.1    Heffernan, J.2    Tawn, J.A.3
  • 14
    • 0002291937 scopus 로고    scopus 로고
    • Sea and wind: Multivariate extreme at work
    • de Haan, L. and de Ronde, J. (1998). Sea and wind: Multivariate extreme at work. Extremes 1, 7-46.
    • (1998) Extremes , vol.1 , pp. 7-46
    • de Haan, L.1    de Ronde, J.2
  • 15
    • 0001232934 scopus 로고    scopus 로고
    • Cramer-von Mises-type tests with applications to tests of independence for multivariate extreme-value distributions
    • Deheuvels, P. and Martynov, G. V. (1996). Cramer-von Mises-type tests with applications to tests of independence for multivariate extreme-value distributions. Communications in Statistics, Theory and Methods 25, 871-908.
    • (1996) Communications in Statistics, Theory and Methods , vol.25 , pp. 871-908
    • Deheuvels, P.1    Martynov, G.V.2
  • 16
    • 0001760675 scopus 로고
    • A moment estimator for the index of an extremevalue distribution
    • Dekkers, A. L. M, Einmahl, J. H. J. and de Haan, L. (1989). A moment estimator for the index of an extremevalue distribution. Annals of Statistics 16, 1833-1855.
    • (1989) Annals of Statistics , vol.16 , pp. 1833-1855
    • Dekkers, A.L.M.1    Einmahl, J.H.J.2    de Haan, L.3
  • 17
    • 85163226382 scopus 로고    scopus 로고
    • Personal communication
    • Dietrich, D. (2003). Personal communication.
    • (2003)
    • Dietrich, D.1
  • 18
    • 26044458609 scopus 로고    scopus 로고
    • Testing extreme value conditions
    • Dietrich, D., de Haan, L. and Hüsler, J. (2002). Testing extreme value conditions. Extremes 5, 71-86.
    • (2002) Extremes , vol.5 , pp. 71-86
    • Dietrich, D.1    de Haan, L.2    Hüsler, J.3
  • 19
    • 67449132227 scopus 로고    scopus 로고
    • Are low temperatures increasing with the global warming?
    • in: R.-D. Reiss and M. Thomas (Eds.), 2nd edn. Birkhäuser
    • Dietrich, D. and Hüsler, J. (2001). Are low temperatures increasing with the global warming?, in: R.-D. Reiss and M. Thomas (Eds.), Statistical Analysis of Extreme Values, 2nd edn., Birkhäuser, pp. 367-372.
    • (2001) Statistical Analysis of Extreme Values , pp. 367-372
    • Dietrich, D.1    Hüsler, J.2
  • 20
    • 40749122171 scopus 로고    scopus 로고
    • Some aspects of extreme value statistics under serial dependence
    • Drees, H. (2008). Some aspects of extreme value statistics under serial dependence. Extremes 11, 35-54.
    • (2008) Extremes , vol.11 , pp. 35-54
    • Drees, H.1
  • 21
    • 33745005744 scopus 로고    scopus 로고
    • Approximations to the tail empirical distribution function with application to testing extreme value conditions
    • Drees, H., de Haan, L. and Li, D. (2006). Approximations to the tail empirical distribution function with application to testing extreme value conditions. Journal of Statistical Planning and Inference 136, 3498-3538.
    • (2006) Journal of Statistical Planning and Inference , vol.136 , pp. 3498-3538
    • Drees, H.1    de Haan, L.2    Li, D.3
  • 23
    • 33845332074 scopus 로고    scopus 로고
    • Weighted approximations of tail copula processes with application to testing the bivariate extreme value condition
    • Einmahl, J. H. J., de Haan, L. and Li, D. (2006). Weighted approximations of tail copula processes with application to testing the bivariate extreme value condition. Annals of Statistics 34, 1987-2014.
    • (2006) Annals of Statistics , vol.34 , pp. 1987-2014
    • Einmahl, J.H.J.1    de Haan, L.2    Li, D.3
  • 26
    • 21344459831 scopus 로고
    • On testing the extreme value index via the POT-method
    • Falk, M. (1995). On testing the extreme value index via the POT-method. Annals of Statistics 23, 2013-2035.
    • (1995) Annals of Statistics , vol.23 , pp. 2013-2035
    • Falk, M.1
  • 27
    • 40749125332 scopus 로고    scopus 로고
    • It was 30 years ago today when Laurens de Haan went the multivariate way
    • Falk, M. (2008). It was 30 years ago today when Laurens de Haan went the multivariate way. Extremes 11, 55-80.
    • (2008) Extremes , vol.11 , pp. 55-80
    • Falk, M.1
  • 30
    • 84873008766 scopus 로고    scopus 로고
    • Extreme sea levels in Venice
    • In Reiss, R. D. and Thomas, M. (Eds.), 1st edn. Birkhäuser, Basel
    • Ferreira, A. M. (1997). Extreme sea levels in Venice, In Reiss, R. D. and Thomas, M. (Eds.), Statistical Analysis of Extreme Values, 1st edn., Birkhäuser, Basel.
    • (1997) Statistical Analysis of Extreme Values
    • Ferreira, A.M.1
  • 31
    • 0345886922 scopus 로고    scopus 로고
    • Statistical choice of extreme value domain of attraction-a comparative analysis. Communications of Statistics
    • Fraga Alves, M. I. and Gomes, M. I. (1996). Statistical choice of extreme value domain of attraction-a comparative analysis. Communications of Statistics, Theory and Methods 25, 789-811.
    • (1996) Theory and Methods , vol.25 , pp. 789-811
    • Fraga Alves, M.I.1    Gomes, M.I.2
  • 33
    • 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 et Castro, L., Fraga Alves, M. I. and Pestana D. (2008). Statistics of extremes for iid data and breakthroughs in the estimation of the extreme value index: Laurens de Haan leading contributions. Extremes 11, 3-34.
    • (2008) Extremes , vol.11 , pp. 3-34
    • Gomes, M.I.1    Canto et Castro, L.2    Fraga Alves, M.I.3    Pestana, D.4
  • 34
    • 0013127441 scopus 로고    scopus 로고
    • The bootstrap methodology in statistical extremes- the choice of the optimal sample fraction
    • Gomes, M. I. and Oliveira, O. (2001). The bootstrap methodology in statistical extremes- the choice of the optimal sample fraction. Extremes 4, 331-358.
    • (2001) Extremes , vol.4 , pp. 331-358
    • Gomes, M.I.1    Oliveira, O.2
  • 35
    • 33747186434 scopus 로고    scopus 로고
    • Extremes of stationary sequences with failures
    • Hall, A. and Hü sler, J. (2006). Extremes of stationary sequences with failures. Stochastic Models 22, 537-557.
    • (2006) Stochastic Models , vol.22 , pp. 537-557
    • Hall, A.1    Hüsler, J.2
  • 36
    • 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.R.M.1
  • 37
    • 25044437854 scopus 로고
    • Frost data: a case study on extreme values of non-stationary sequences
    • in: J. Tiago de Oliveira (Ed.), Reidel
    • Hüsler, J. (1983). Frost data: a case study on extreme values of non-stationary sequences, in: J. Tiago de Oliveira (Ed.), Statistical Extremes and Applications, Reidel, pp. 513-520.
    • (1983) Statistical Extremes and Applications , pp. 513-520
    • Hüsler, J.1
  • 38
    • 67449143333 scopus 로고    scopus 로고
    • Global warming in relation with the clustering of extremes
    • in: Reiss, R.-D. and Thomas, M. (Eds.), 1st edn. Birkhäuser, Basel
    • Hüsler, J. (1997). Global warming in relation with the clustering of extremes, in: Reiss, R.-D. and Thomas, M. (Eds.), Statistical Analysis of Extreme Values, 1st edn., Birkhäuser, Basel, pp. 257-264.
    • (1997) Statistical Analysis of Extreme Values , pp. 257-264
    • Hüsler, J.1
  • 39
    • 33751529730 scopus 로고    scopus 로고
    • On testing extreme value conditions
    • Hüsler, J. and 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
  • 40
    • 40849102923 scopus 로고    scopus 로고
    • Testing extreme value conditions with applications
    • in: Reiss, R.-D. and Thomas, M. (Eds.), 3rd edn. Birkhäuser, Basel
    • Hüsler, J. and Li, D. (2007). Testing extreme value conditions with applications, in: Reiss, R.-D. and Thomas, M. (Eds.), Statistical Analysis of Extreme Values, 3rd edn., Birkhäuser, Basel.
    • (2007) Statistical Analysis of Extreme Values
    • Hüsler, J.1    Li, D.2
  • 41
    • 53849100672 scopus 로고    scopus 로고
    • Weak convergence of the empirical mean excess process with application to estimate the negative tail index
    • Hüsler, J. and Li, D. (2008). Weak convergence of the empirical mean excess process with application to estimate the negative tail index. Methodology and Computing in Applied Probability 10, 577-593.
    • (2008) Methodology and Computing in Applied Probability , vol.10 , pp. 577-593
    • Hüsler, J.1    Li, D.2
  • 43
    • 40849145281 scopus 로고    scopus 로고
    • Review of testing issues in extremes: in honor of Professor Laurens de Haan
    • Hüsler, J. and Peng, L. (2008). Review of testing issues in extremes: in honor of Professor Laurens de Haan. Extremes 11, 99-111.
    • (2008) Extremes , vol.11 , pp. 99-111
    • Hüsler, J.1    Peng, L.2
  • 45
    • 33845644354 scopus 로고    scopus 로고
    • Statistical tests on tail index of a probability distribution
    • Jureckova, J. (2003). Statistical tests on tail index of a probability distribution. Metron 61, 151-175.
    • (2003) Metron , vol.61 , pp. 151-175
    • Jureckova, J.1
  • 48
    • 0019187713 scopus 로고
    • Empirical calculations of snow avalanche runout distance based on topographic parameters
    • Lied, K. and Bakkehøi, S. (1980). Empirical calculations of snow avalanche runout distance based on topographic parameters. Journal of Glaciology 26, 165-177.
    • (1980) Journal of Glaciology , vol.26 , pp. 165-177
    • Lied, K.1    Bakkehøi, S.2
  • 49
    • 34548159972 scopus 로고    scopus 로고
    • Testing extreme value models
    • Marohn, F. (2000). Testing extreme value models. Extremes 363-384.
    • (2000) Extremes , pp. 363-384
    • Marohn, F.1
  • 50
    • 0005865585 scopus 로고    scopus 로고
    • Adaptive threshold selection in tail index estimation
    • in: Embrechts, P. (Ed.), UBS, Warburg
    • Matthys, G. and Beirlant, J. (2000). Adaptive threshold selection in tail index estimation, in: Embrechts, P. (Ed.), Extremes and Integrated Risk Managment, UBS, Warburg, pp. 37-57.
    • (2000) Extremes and Integrated Risk Managment , pp. 37-57
    • Matthys, G.1    Beirlant, J.2
  • 51
    • 0035544791 scopus 로고    scopus 로고
    • Extreme avalanche runout: a comparison of empirical models
    • McClung, D. M. (2001). Extreme avalanche runout: a comparison of empirical models. Canadian Geotechnical Journal 38, 1254-1265.
    • (2001) Canadian Geotechnical Journal , vol.38 , pp. 1254-1265
    • McClung, D.M.1
  • 52
    • 0023526101 scopus 로고
    • Statistical and geometrical definition of snow avalanche runout
    • McClung, D. M. and Lied, K. (1987). Statistical and geometrical definition of snow avalanche runout. Cold Region Science Technology 13, 107-119.
    • (1987) Cold Region Science Technology , vol.13 , pp. 107-119
    • McClung, D.M.1    Lied, K.2
  • 54
    • 0024845096 scopus 로고
    • Extreme value prediction of snow avalanche runout: data from four mountain ranges
    • McClung, D. M., Mears, A. I. and Schaerer, P. (1989). Extreme value prediction of snow avalanche runout: data from four mountain ranges. Annals in Glaciology 13, 180-184.
    • (1989) Annals in Glaciology , vol.13 , pp. 180-184
    • McClung, D.M.1    Mears, A.I.2    Schaerer, P.3
  • 55
    • 33751542466 scopus 로고    scopus 로고
    • Copulas: tales and facts, with discussion and rejoinder
    • Mikosch, T. (2006). Copulas: tales and facts, with discussion and rejoinder. Extremes 9, 3-20.
    • (2006) Extremes , vol.9 , pp. 3-20
    • Mikosch, T.1
  • 56
    • 59449097314 scopus 로고    scopus 로고
    • An example of real-life data where the Hill estimator is correct
    • in: Arnold, B. C. et al. (Eds.), Birkhäuser, Boston. To appear
    • Reiss, R. D. and Cormann, U. (2008). An example of real-life data where the Hill estimator is correct, in: Arnold, B. C. et al. (Eds.), Advances in Mathematical and Statistical Modelling. Birkhäuser, Boston. To appear.
    • (2008) Advances in Mathematical and Statistical Modelling
    • Reiss, R.D.1    Cormann, U.2
  • 60
    • 0012250241 scopus 로고    scopus 로고
    • Simultaneous distributions of space-time wave characteristics in a Gaussian sea
    • Sjö, E. (2001). Simultaneous distributions of space-time wave characteristics in a Gaussian sea. Extremes 4, 263-288.
    • (2001) Extremes , vol.4 , pp. 263-288
    • Sjö, E.1
  • 61
    • 0001258027 scopus 로고
    • Estimating tails of probability distributions
    • Smith, R. (1987). Estimating tails of probability distributions. Annals of Statistics 15, 1174-1207.
    • (1987) Annals of Statistics , vol.15 , pp. 1174-1207
    • Smith, R.1
  • 62
    • 84972496066 scopus 로고
    • Extreme value analysis of environmental time series: an application to trend detection in ground-level ozone
    • Smith, R. (1989). Extreme value analysis of environmental time series: an application to trend detection in ground-level ozone. Statistical Science 4, 367-393.
    • (1989) Statistical Science , vol.4 , pp. 367-393
    • Smith, R.1
  • 63
    • 0001558246 scopus 로고
    • Threshold methods for sample extremes
    • in: Tiago de Oliveira, J. (ed.), Reidel, Dordrecht
    • Smith, R. L. (1984). Threshold methods for sample extremes, in: Tiago de Oliveira, J. (ed.), Statistical Extremes and Applications. Reidel, Dordrecht, 621-638.
    • (1984) Statistical Extremes and Applications , pp. 621-638
    • Smith, R.L.1
  • 64
    • 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.A.1
  • 65
    • 33845338409 scopus 로고    scopus 로고
    • A note on the extremal index for space-time processes
    • Turkman, K. F. (2006). A note on the extremal index for space-time processes. Journal of Applied Probability 43, 114-126.
    • (2006) Journal of Applied Probability , vol.43 , pp. 114-126
    • Turkman, K.F.1
  • 66
    • 85163231626 scopus 로고    scopus 로고
    • Long-term study for ground level ozone data from Mexico City
    • in: Reiss, R. D. and Thomas, M. (Eds.), 2nd edn. Birkhäuser, Basel
    • Villaseñor, J. A., Vaquera, H. H. and Reiss, R.-D. (2001). Long-term study for ground level ozone data from Mexico City, in: Reiss, R. D. and Thomas, M. (Eds.), Statistical Analysis of Extreme Values. 2nd edn., Birkhäuser, Basel, pp. 353-358.
    • (2001) Statistical Analysis of Extreme Values , pp. 353-358
    • Villaseñor, J.A.1    Vaquera, H.H.2    Reiss, R.-D.3


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