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Volumn 11, Issue 3, 2008, Pages 235-259

Convex geometry of max-stable distributions

Author keywords

Copula; Cross polytope; Max stable random vector; Norm; Spectral measure; Support function; Zonoid

Indexed keywords


EID: 49249135357     PISSN: 13861999     EISSN: 1572915X     Source Type: Journal    
DOI: 10.1007/s10687-008-0055-5     Document Type: Article
Times cited : (38)

References (37)
  • 1
    • 0000056568 scopus 로고
    • A strong law of large numbers for random compact sets
    • Z. Artstein R.A. Vitale 1975 A strong law of large numbers for random compact sets Ann. Probab. 3 879 882
    • (1975) Ann. Probab. , vol.3 , pp. 879-882
    • Artstein, Z.1    Vitale, R.A.2
  • 4
    • 0001870612 scopus 로고    scopus 로고
    • Dependence measures for extreme value analyses
    • S.G. Coles J.E. Hefferman J.A. Tawn 1999 Dependence measures for extreme value analyses Extremes 2 339 365
    • (1999) Extremes , vol.2 , pp. 339-365
    • Coles, S.G.1    Hefferman, J.E.2    Tawn, J.A.3
  • 7
    • 0000522339 scopus 로고
    • A spectral representation for max-stable processes
    • L. de Haan 1984 A spectral representation for max-stable processes Ann. Probab. 12 1194 1204
    • (1984) Ann. Probab. , vol.12 , pp. 1194-1204
    • De Haan, L.1
  • 8
    • 0002291937 scopus 로고    scopus 로고
    • Sea and wind: Multivariate extremes at work
    • L. de Haan J. de Ronde 1998 Sea and wind: multivariate extremes at work Extremes 1 7 45
    • (1998) Extremes , vol.1 , pp. 7-45
    • De Haan, L.1    De Ronde, J.2
  • 10
    • 0031572656 scopus 로고    scopus 로고
    • Estimating the spectral measure of an extreme value distribution
    • J.H.J. Einmahl L. de Haan A.K. Sinha 1997 Estimating the spectral measure of an extreme value distribution Stoch. Process. Appl. 70 143 171
    • (1997) Stoch. Process. Appl. , vol.70 , pp. 143-171
    • Einmahl, J.H.J.1    De Haan, L.2    Sinha, A.K.3
  • 13
    • 26644435998 scopus 로고    scopus 로고
    • On Pickands coordinates in arbitrary dimensions
    • M. Falk R.-D. Reiss 2005 On Pickands coordinates in arbitrary dimensions J. Multivar. Anal. 92 426 453
    • (2005) J. Multivar. Anal. , vol.92 , pp. 426-453
    • Falk, M.1    Reiss, R.-D.2
  • 14
    • 84968504404 scopus 로고
    • Some means of convex bodies
    • W.J. Firey 1967 Some means of convex bodies Trans. Am. Math. Soc. 129 181 217
    • (1967) Trans. Am. Math. Soc. , vol.129 , pp. 181-217
    • Firey, W.J.1
  • 15
    • 38249006076 scopus 로고
    • A characterization of Gumbel's family of extreme value distributions
    • C. Genest L.-P. Rivest 1989 A characterization of Gumbel's family of extreme value distributions Stat. Probab. Lett. 8 207 211
    • (1989) Stat. Probab. Lett. , vol.8 , pp. 207-211
    • Genest, C.1    Rivest, L.-P.2
  • 16
    • 0007422459 scopus 로고
    • Max-infinitely divisible and max-stable sample continuous processes
    • E. Giné M.G. Hahn P. Vatan 1990 Max-infinitely divisible and max-stable sample continuous processes Probab. Theory Relat. Fields 87 139 165
    • (1990) Probab. Theory Relat. Fields , vol.87 , pp. 139-165
    • Giné, E.1    Hahn, M.G.2    Vatan, P.3
  • 18
    • 1842815877 scopus 로고    scopus 로고
    • Prediction regions for bivariate extreme events
    • P. Hall N. Tajvidi 2004 Prediction regions for bivariate extreme events Aust. N. Z. J. Stat. 46 99 102
    • (2004) Aust. N. Z. J. Stat. , vol.46 , pp. 99-102
    • Hall, P.1    Tajvidi, N.2
  • 19
    • 0037437995 scopus 로고    scopus 로고
    • Hutchinson-Lai's conjecture for bivariate extreme value copulas
    • W. Hürlimann 2003 Hutchinson-Lai's conjecture for bivariate extreme value copulas Stat. Probab. Lett. 61 191 198
    • (2003) Stat. Probab. Lett. , vol.61 , pp. 191-198
    • Hürlimann, W.1
  • 20
    • 0013499740 scopus 로고
    • Maxima of normal random vectors: Between independence and complete dependence
    • J. Hüsler R.-D. Reiss 1989 Maxima of normal random vectors: between independence and complete dependence Stat. Probab. Lett. 7 283 286
    • (1989) Stat. Probab. Lett. , vol.7 , pp. 283-286
    • Hüsler, J.1    Reiss, R.-D.2
  • 29
    • 49249127595 scopus 로고
    • A new class of convex bodies
    • W. Ricker 1982 A new class of convex bodies Contemp. Math. 9 333 340
    • (1982) Contemp. Math. , vol.9 , pp. 333-340
    • Ricker, W.1
  • 30
    • 0004267646 scopus 로고
    • Princeton University Press Princeton
    • Rockafellar, R.T.: Convex Analysis. Princeton University Press, Princeton (1970)
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 31
    • 3843091376 scopus 로고    scopus 로고
    • Inequalities for the extremal coefficients of multivariate extreme value distributions
    • M. Schlather J.A. Tawn 2002 Inequalities for the extremal coefficients of multivariate extreme value distributions Extremes 5 87 102
    • (2002) Extremes , vol.5 , pp. 87-102
    • Schlather, M.1    Tawn, J.A.2
  • 32
    • 3543017217 scopus 로고    scopus 로고
    • A dependence measure for multivariate and spatial extreme values: Properties and inference
    • M. Schlather J.A. Tawn 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
  • 34
    • 38149148185 scopus 로고
    • Asymptotic independence and perfect dependence of vector components of multivariate extreme statistics
    • R. Takahashi 1994 Asymptotic independence and perfect dependence of vector components of multivariate extreme statistics Stat. Probab. Lett. 19 19 26
    • (1994) Stat. Probab. Lett. , vol.19 , pp. 19-26
    • Takahashi, R.1
  • 35
    • 0001423124 scopus 로고
    • Bivariate extreme value theory: Models and estimation
    • J.A. Tawn 1988 Bivariate extreme value theory: models and estimation Biometrika 75 397 415
    • (1988) Biometrika , vol.75 , pp. 397-415
    • Tawn, J.A.1
  • 36
    • 0004236285 scopus 로고    scopus 로고
    • Cambridge University Press Cambridge
    • Thompson, A.C.: Minkowski Geometry. Cambridge University Press, Cambridge (1996)
    • (1996) Minkowski Geometry
    • Thompson, A.C.1
  • 37
    • 0030356122 scopus 로고    scopus 로고
    • The Wills functional and Gaussian processes
    • R.A. Vitale 1996 The Wills functional and Gaussian processes Ann. Probab. 24 2172 2178
    • (1996) Ann. Probab. , vol.24 , pp. 2172-2178
    • Vitale, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.