메뉴 건너뛰기




Volumn 77, Issue 1, 2015, Pages 239-265

Estimation of Hüsler-Reiss distributions and Brown-Resnick processes

Author keywords

Extreme value theory; Max stable process; Peaks over threshold method; Poisson point process; Spectral density

Indexed keywords


EID: 84917740319     PISSN: 13697412     EISSN: 14679868     Source Type: Journal    
DOI: 10.1111/rssb.12074     Document Type: Article
Times cited : (117)

References (45)
  • 1
    • 84928167680 scopus 로고    scopus 로고
    • Estimation of spatial max-stable models using threshold exceedances
    • Bacro, J.-N. and Gaetan, C. (2013) Estimation of spatial max-stable models using threshold exceedances. Statist. Comput., to be published, doi 10.1007/s11222-013-9394-4.
    • (2013) Statist. Comput., to be published
    • Bacro, J.-N.1    Gaetan, C.2
  • 3
    • 80052275163 scopus 로고    scopus 로고
    • A construction principle for multivariate extreme value distributions
    • Ballani, F. and Schlather, M. (2011) A construction principle for multivariate extreme value distributions. Biometrika, 98, 633-645.
    • (2011) Biometrika , vol.98 , pp. 633-645
    • Ballani, F.1    Schlather, M.2
  • 4
    • 81155126713 scopus 로고    scopus 로고
    • Spatial modeling of extreme snow depth
    • Blanchet, J. and Davison, A. C. (2011) Spatial modeling of extreme snow depth. Ann. Appl. Statist., 5, 1699-1725.
    • (2011) Ann. Appl. Statist. , vol.5 , pp. 1699-1725
    • Blanchet, J.1    Davison, A.C.2
  • 5
    • 33847378929 scopus 로고    scopus 로고
    • A mixture model for multivariate extremes
    • Boldi, M.-O. and Davison, A. C. (2007) A mixture model for multivariate extremes. J. R. Statist. Soc. B, 69, 217-229.
    • (2007) J. R. Statist. Soc. B , vol.69 , pp. 217-229
    • Boldi, M.-O.1    Davison, A.C.2
  • 6
    • 25144447744 scopus 로고
    • Extreme values of independent stochastic processes
    • Brown, B. M. and Resnick, S. I. (1977) Extreme values of independent stochastic processes. J. Appl. Probab., 14, 732-739.
    • (1977) J. Appl. Probab. , vol.14 , pp. 732-739
    • Brown, B.M.1    Resnick, S.I.2
  • 7
    • 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. Ann. Appl. Statist., 2, 624-642.
    • (2008) Ann. Appl. Statist. , vol.2 , pp. 624-642
    • Buishand, T.A.1    de Haan, L.2    Zhou, C.3
  • 8
    • 0001356226 scopus 로고
    • Modelling extreme multivariate events
    • Coles, S. G. and Tawn, J. A. (1991) Modelling extreme multivariate events. J. R. Statist. Soc. B, 53, 377-392.
    • (1991) J. R. Statist. Soc. B , vol.53 , pp. 377-392
    • Coles, S.G.1    Tawn, J.A.2
  • 9
    • 77955049295 scopus 로고    scopus 로고
    • The pairwise beta distribution: a flexible parametric multivariate model for extremes
    • Cooley, D., Davis, R. A. and Naveau, P. (2010) The pairwise beta distribution: a flexible parametric multivariate model for extremes. J. Multiv. Anal., 101, 2103-2117.
    • (2010) J. Multiv. Anal. , vol.101 , pp. 2103-2117
    • Cooley, D.1    Davis, R.A.2    Naveau, P.3
  • 10
    • 35348817632 scopus 로고    scopus 로고
    • Variograms for spatial max-stable random fields
    • In (eds P. Bertail, P. Soulierand P. Doukhan), ch. 17 -. New York: Springer.
    • Cooley, D., Naveau, P. and Poncet, P. (2006) Variograms for spatial max-stable random fields. In Dependence in Probability and Statistics (eds P. Bertail, P. Soulier and P. Doukhan ), ch. 17, pp. 373-390. New York: Springer.
    • (2006) Dependence in Probability and Statistics , pp. 373-390
    • Cooley, D.1    Naveau, P.2    Poncet, P.3
  • 11
    • 79951616754 scopus 로고    scopus 로고
    • Conditioning on an extreme component: model consistency with regular variation on cones
    • Das, B. and Resnick, S. I. (2011) Conditioning on an extreme component: model consistency with regular variation on cones. Bernoulli, 17, 226-252.
    • (2011) Bernoulli , vol.17 , pp. 226-252
    • Das, B.1    Resnick, S.I.2
  • 13
    • 84866270052 scopus 로고    scopus 로고
    • Statistical modeling of spatial extremes
    • Davison, A. C., Padoan, S. A. and Ribatet, M. (2012) Statistical modeling of spatial extremes. Statist. Sci., 27, 161-186.
    • (2012) Statist. Sci. , vol.27 , pp. 161-186
    • Davison, A.C.1    Padoan, S.A.2    Ribatet, M.3
  • 14
    • 84874766349 scopus 로고    scopus 로고
    • Conditional simulation of max-stable processes
    • Dombry, C., Éyi-Minko, F. and Ribatet, M. (2013) Conditional simulation of max-stable processes. Biometrika, 100, 111-124.
    • (2013) Biometrika , vol.100 , pp. 111-124
    • Dombry, C.1    Éyi-Minko, F.2    Ribatet, M.3
  • 15
    • 84917717244 scopus 로고    scopus 로고
    • Estimating failure probabilities. (Available from .)
    • Drees, H. and de Haan, L. (2011) Estimating failure probabilities. (Available from http://arxiv.org/abs/1107.0614.)
    • (2011)
    • Drees, H.1    de Haan, L.2
  • 16
    • 79956213187 scopus 로고    scopus 로고
    • An equivalent representation of the Brown-Resnick process
    • Engelke, S., Kabluchko, Z. and Schlather, M. (2011) An equivalent representation of the Brown-Resnick process. Statist. Probab. Lett., 81, 1150-1154.
    • (2011) Statist. Probab. Lett. , vol.81 , pp. 1150-1154
    • Engelke, S.1    Kabluchko, Z.2    Schlather, M.3
  • 17
    • 84903768276 scopus 로고    scopus 로고
    • Statistical inference for max-stable processes by conditioning on extreme events
    • in the press.
    • Engelke, S., Malinowski, A., Oesting, M. and Schlather, M. (2014) Statistical inference for max-stable processes by conditioning on extreme events. Adv. Appl. Probab., 46, in the press.
    • (2014) Adv. Appl. Probab. , vol.46
    • Engelke, S.1    Malinowski, A.2    Oesting, M.3    Schlather, M.4
  • 18
    • 77951234991 scopus 로고    scopus 로고
    • Limit conditional distributions for bivariate vectors with polar representation
    • Fougéres, A.-L. and Soulier, P. (2010) Limit conditional distributions for bivariate vectors with polar representation. Stoch. Modls, 26, 54-77.
    • (2010) Stoch. Modls , vol.26 , pp. 54-77
    • Fougéres, A.-L.1    Soulier, P.2
  • 19
    • 84876590315 scopus 로고    scopus 로고
    • Mapping extreme snowfalls in the French Alps using max-stable processes
    • Gaume, J., Eckert, N., Chambon, G., Naaim, M. and Bel, L. (2013) Mapping extreme snowfalls in the French Alps using max-stable processes. Wat. Resour. Res., 49, 1079-1098.
    • (2013) Wat. Resour. Res. , vol.49 , pp. 1079-1098
    • Gaume, J.1    Eckert, N.2    Chambon, G.3    Naaim, M.4    Bel, L.5
  • 20
    • 79957814400 scopus 로고    scopus 로고
    • On the likelihood function of Gaussian max-stable processes
    • Genton, M. G., Ma, Y. and Sang, H. (2011) On the likelihood function of Gaussian max-stable processes. Biometrika, 98, 481-488.
    • (2011) Biometrika , vol.98 , pp. 481-488
    • Genton, M.G.1    Ma, Y.2    Sang, H.3
  • 22
    • 33744803478 scopus 로고    scopus 로고
    • Spatial extremes: models for the stationary case
    • de Haan, L. and Pereira, T. T. (2006) Spatial extremes: models for the stationary case. Ann. Statist., 34, 146-168.
    • (2006) Ann. Statist. , vol.34 , pp. 146-168
    • de Haan, L.1    Pereira, T.T.2
  • 23
    • 0000476661 scopus 로고
    • Estimating the limit distribution of multivariate extremes
    • de Haan, L. and Resnick, S. I. (1993) Estimating the limit distribution of multivariate extremes. Communs Statist. Stoch. Modls, 9, 275-309.
    • (1993) Communs Statist. Stoch. Modls , vol.9 , pp. 275-309
    • de Haan, L.1    Resnick, S.I.2
  • 24
    • 77149147603 scopus 로고    scopus 로고
    • On extreme value analysis of a spatial process
    • de Haan, L. and Zhou, C. (2008) On extreme value analysis of a spatial process. REVSTAT, 6, 71-81.
    • (2008) REVSTAT , vol.6 , pp. 71-81
    • de Haan, L.1    Zhou, C.2
  • 25
    • 33747163613 scopus 로고    scopus 로고
    • Gaussian approximation of conditional elliptical random vectors
    • Hashorva, E. (2006) Gaussian approximation of conditional elliptical random vectors. Stoch. Modls, 22, 441-457.
    • (2006) Stoch. Modls , vol.22 , pp. 441-457
    • Hashorva, E.1
  • 26
    • 40249096859 scopus 로고    scopus 로고
    • Limit laws for random vectors with an extreme component
    • Heffernan, J. E. and Resnick, S. I. (2007) Limit laws for random vectors with an extreme component. Ann. Appl. Probab., 17, 537-571.
    • (2007) Ann. Appl. Probab. , vol.17 , pp. 537-571
    • Heffernan, J.E.1    Resnick, S.I.2
  • 27
    • 3542996305 scopus 로고    scopus 로고
    • A conditional approach for multivariate extreme values (with discussion)
    • Heffernan, J. E. and Tawn, J. A. (2004) A conditional approach for multivariate extreme values (with discussion). J. R. Statist. Soc. B, 66, 497-546.
    • (2004) J. R. Statist. Soc. B , vol.66 , pp. 497-546
    • Heffernan, J.E.1    Tawn, J.A.2
  • 28
    • 84893717397 scopus 로고    scopus 로고
    • Space-time modelling of extreme events
    • Huser, R. and Davison, A. C. (2014) Space-time modelling of extreme events. J. R. Statist. Soc. B, 76, 439-461.
    • (2014) J. R. Statist. Soc. B , vol.76 , pp. 439-461
    • Huser, R.1    Davison, A.C.2
  • 29
    • 0013499740 scopus 로고
    • Maxima of normal random vectors: between independence and complete dependence
    • Hüsler, J. and Reiss, R. D. (1989) Maxima of normal random vectors: between independence and complete dependence. Statist. Probab. Lett., 7, 283-286.
    • (1989) Statist. Probab. Lett. , vol.7 , pp. 283-286
    • Hüsler, J.1    Reiss, R.D.2
  • 30
    • 38249019268 scopus 로고
    • Families of min-stable multivariate exponential and multivariate extreme value distributions
    • Joe, H. (1990) Families of min-stable multivariate exponential and multivariate extreme value distributions. Statist. Probab. Lett., 9, 75-81.
    • (1990) Statist. Probab. Lett. , vol.9 , pp. 75-81
    • Joe, H.1
  • 31
    • 79961167544 scopus 로고    scopus 로고
    • Extremes of independent Gaussian processes
    • Kabluchko, Z. (2011) Extremes of independent Gaussian processes. Extremes, 14, 285-310.
    • (2011) Extremes , vol.14 , pp. 285-310
    • Kabluchko, Z.1
  • 32
    • 70450243669 scopus 로고    scopus 로고
    • Stationary max-stable fields associated to negative definite functions
    • Kabluchko, Z., Schlather, M. and de Haan, L. (2009) Stationary max-stable fields associated to negative definite functions. Ann. Probab., 37, 2042-2065.
    • (2009) Ann. Probab. , vol.37 , pp. 2042-2065
    • Kabluchko, Z.1    Schlather, M.2    de Haan, L.3
  • 34
    • 84857453734 scopus 로고    scopus 로고
    • Simulation of Brown-Resnick processes
    • Oesting, M., Kabluchko, Z. and Schlather, M. (2012) Simulation of Brown-Resnick processes. Extremes, 15, 89-107.
    • (2012) Extremes , vol.15 , pp. 89-107
    • Oesting, M.1    Kabluchko, Z.2    Schlather, M.3
  • 35
    • 77951978159 scopus 로고    scopus 로고
    • Likelihood-based inference for max-stable processes
    • Padoan, S. A., Ribatet, M. and Sisson, S. A. (2010) Likelihood-based inference for max-stable processes. J. Am. Statist. Ass., 105, 263-277.
    • (2010) J. Am. Statist. Ass. , vol.105 , pp. 263-277
    • Padoan, S.A.1    Ribatet, M.2    Sisson, S.A.3
  • 37
    • 0001075431 scopus 로고
    • Statistical inference using extreme order statistics
    • Pickands III, J. (1975) Statistical inference using extreme order statistics. Ann. Statist., 3, 119-131.
    • (1975) Ann. Statist. , vol.3 , pp. 119-131
    • Pickands III, J.1
  • 39
    • 36549020018 scopus 로고    scopus 로고
    • Multivariate generalized Pareto distributions
    • Rootzén, H. and Tajvidi, N. (2006) Multivariate generalized Pareto distributions. Bernoulli, 12, 917-930.
    • (2006) Bernoulli , vol.12 , pp. 917-930
    • Rootzén, H.1    Tajvidi, N.2
  • 40
    • 3843100123 scopus 로고    scopus 로고
    • Models for stationary max-stable random fields
    • Schlather, M. (2002) Models for stationary max-stable random fields. Extremes, 5, 33-44.
    • (2002) Extremes , vol.5 , pp. 33-44
    • Schlather, M.1
  • 41
    • 3543017217 scopus 로고    scopus 로고
    • A dependence measure for multivariate and spatial extreme values: properties and inference
    • Schlather, M. and Tawn, J. A. (2003) A dependence measure for multivariate and spatial extreme values: properties and inference. Biometrika, 90, 139-156.
    • (2003) Biometrika , vol.90 , pp. 139-156
    • Schlather, M.1    Tawn, J.A.2
  • 42
    • 84917717243 scopus 로고
    • Max-stable processes and spatial extremes. Manuscript. Unpublished.
    • Smith, R. (1990) Max-stable processes and spatial extremes. Manuscript. Unpublished.
    • (1990)
    • Smith, R.1
  • 43
    • 0024165315 scopus 로고
    • An extreme-value theory model for dependent observations
    • Tawn, J. A. (1988) An extreme-value theory model for dependent observations. J. Hydrol., 101, 227-250.
    • (1988) J. Hydrol. , vol.101 , pp. 227-250
    • Tawn, J.A.1
  • 44
    • 0001032278 scopus 로고
    • Modelling multivariate extreme value distributions
    • Tawn, J. A. (1990) Modelling multivariate extreme value distributions. Biometrika, 77, 245-253.
    • (1990) Biometrika , vol.77 , pp. 245-253
    • Tawn, J.A.1
  • 45
    • 84897804188 scopus 로고    scopus 로고
    • Efficient inference for spatial extreme value processes associated to log-gaussian random functions
    • Biometrika, to be published, doi 10.1093/biomet/ast042.
    • Wadsworth, J. L. and Tawn, J. A. (2013) Efficient inference for spatial extreme value processes associated to log-gaussian random functions. Biometrika, to be published, doi 10.1093/biomet/ast042.
    • (2013)
    • Wadsworth, J.L.1    Tawn, J.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.