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Volumn 34, Issue 4, 2006, Pages 1987-2014

Weighted approximations of tail copula processes with application to testing the bivariate extreme value condition

Author keywords

Bivariate extreme value theory; Dependence structure; Goodness of fit test; Tail copula process; Weighted approximation

Indexed keywords


EID: 33845332074     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053606000000434     Document Type: Article
Times cited : (57)

References (17)
  • 1
    • 30344446666 scopus 로고    scopus 로고
    • Nonparametric estimators of multivariate extreme dependence functions
    • MR2192166
    • ABDOUS, B. and GHOUDI, K. (2005). Nonparametric estimators of multivariate extreme dependence functions. J. Nonparametr. Statist. 17 915-935. MR2192166
    • (2005) J. Nonparametr. Statist. , vol.17 , pp. 915-935
    • Abdous, B.1    Ghoudi, K.2
  • 2
    • 0000732708 scopus 로고
    • Limit theory for multivariate sample extremes
    • MR0478290
    • DE HAAN, L. and RESNICK, S. (1977). Limit theory for multivariate sample extremes. Z. Wahrsch. Verw. Gebiete 40 317-337. MR0478290
    • (1977) Z. Wahrsch. Verw. Gebiete , vol.40 , pp. 317-337
    • De Haan, L.1    Resnick, S.2
  • 3
    • 0033457755 scopus 로고    scopus 로고
    • Estimating the probability of a rare event
    • MR1714710
    • DE HAAN, L. and SINHA, A. K. (1999). Estimating the probability of a rare event. Ann. Statist. 27 732-759. MR1714710
    • (1999) Ann. Statist. , vol.27 , pp. 732-759
    • De Haan, L.1    Sinha, A.K.2
  • 4
    • 26044458609 scopus 로고    scopus 로고
    • Testing extreme value conditions
    • MR1947789
    • DIETRICH, D., DE HAAN, L. and HÜSLER, J. (2002). Testing extreme value conditions. Extremes 5 71-85. MR1947789
    • (2002) Extremes , vol.5 , pp. 71-85
    • Dietrich, D.1    De Haan, L.2    Hüsler, J.3
  • 5
    • 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. J. Statist. Plann. Inference 136 3498-3538.
    • (2006) J. Statist. Plann. Inference , vol.136 , pp. 3498-3538
    • Drees, H.1    De Haan, L.2    Li, D.3
  • 6
    • 0002444740 scopus 로고    scopus 로고
    • Best attainable rates of convergence for estimators of the stable tail dependence function
    • MR1619974
    • DREES, H. and HUANG, X. (1998). Best attainable rates of convergence for estimators of the stable tail dependence function. J. Multivariate Anal. 64 25-47. MR1619974
    • (1998) J. Multivariate Anal. , vol.64 , pp. 25-47
    • Drees, H.1    Huang, X.2
  • 7
    • 38249012933 scopus 로고
    • Limit theorems for tail processes with application to intermediate quantile estimation
    • MR1177363
    • EINMAHL, J. (1992). Limit theorems for tail processes with application to intermediate quantile estimation. J. Statist. Plann. Inference 32 137-145. MR1177363
    • (1992) J. Statist. Plann. Inference , vol.32 , pp. 137-145
    • Einmahl, J.1
  • 8
    • 0035470895 scopus 로고    scopus 로고
    • Nonparametric estimation of the spectral measure of an extreme value distribution
    • MR1873336
    • EINMAHL, J., DE HAAN, L. and PITERBARG, V. (2001). Nonparametric estimation of the spectral measure of an extreme value distribution. Ann. Statist. 29 1401-1423. MR1873336
    • (2001) Ann. Statist. , vol.29 , pp. 1401-1423
    • Einmahl, J.1    De Haan, L.2    Piterbarg, V.3
  • 9
    • 0004057107 scopus 로고
    • Ph.D. dissertation, Erasmus Univ. Rotterdam. Tinbergen Institute Series no. 22
    • HUANG, X. (1992). Statistics of bivariate extremes. Ph.D. dissertation, Erasmus Univ. Rotterdam. Tinbergen Institute Series no. 22.
    • (1992) Statistics of Bivariate Extremes
    • Huang, X.1
  • 11
    • 0001159892 scopus 로고
    • On weak convergence of stochastic processes with multidimensional time parameter
    • MR0293706
    • NEUHAUS, G. (1971). On weak convergence of stochastic processes with multidimensional time parameter. Ann. Math. Statist. 42 1285-1295. MR0293706
    • (1971) Ann. Math. Statist. , vol.42 , pp. 1285-1295
    • Neuhaus, G.1
  • 12
    • 0000622785 scopus 로고
    • Sample functions of the N-parameter Wiener process
    • MR0346925
    • OREY, S. and PRUITT, W. (1973). Sample functions of the N-parameter Wiener process. Ann. Probab. 1 138-163. MR0346925
    • (1973) Ann. Probab. , vol.1 , pp. 138-163
    • Orey, S.1    Pruitt, W.2
  • 14
    • 0346517735 scopus 로고    scopus 로고
    • Ph.D. dissertation, Erasmus Univ. Rotterdam. Tinbergen Institute Series no. 178
    • PENG, L. (1998). Second order condition and extreme value theory. Ph.D. dissertation, Erasmus Univ. Rotterdam. Tinbergen Institute Series no. 178.
    • (1998) Second Order Condition and Extreme Value Theory
    • Peng, L.1
  • 15
    • 0041401371 scopus 로고    scopus 로고
    • Examples for the coefficient of tail dependence and the domain of attraction of a bivariate extreme value distribution
    • MR1841635
    • SCHLATHER, M. (2001). Examples for the coefficient of tail dependence and the domain of attraction of a bivariate extreme value distribution. Statist. Probab. Lett. 53 325-329. MR1841635
    • (2001) Statist. Probab. Lett. , vol.53 , pp. 325-329
    • Schlather, M.1


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