메뉴 건너뛰기




Volumn 13, Issue 1, 2007, Pages 229-251

Estimating the tail dependence function of an elliptical distribution

Author keywords

Asymptotic normality; Elliptical distribution; Regular variation; Tail dependence function

Indexed keywords


EID: 36549085102     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/07-BEJ6047     Document Type: Article
Times cited : (46)

References (22)
  • 1
    • 27744493157 scopus 로고    scopus 로고
    • Extreme behaviour of bivariate elliptical distributions
    • Abdous, B., Fougeres, A.L. and Ghoudi, K. (2005) Extreme behaviour of bivariate elliptical distributions. Canad. J. Statist., 33(3), 317-334.
    • (2005) Canad. J. Statist , vol.33 , Issue.3 , pp. 317-334
    • Abdous, B.1    Fougeres, A.L.2    Ghoudi, K.3
  • 2
    • 0032330687 scopus 로고    scopus 로고
    • Comparison of tail index estimators
    • de Haan, L. and Peng, L. (1998) Comparison of tail index estimators. Statist. Neerlandica, 52(1), 60-70.
    • (1998) Statist. Neerlandica , vol.52 , Issue.1 , pp. 60-70
    • de Haan, L.1    Peng, L.2
  • 3
    • 0000476661 scopus 로고
    • Estimating the limit distribution of multivariate extremes
    • de Haan, L. and Resnick, S. (1993) Estimating the limit distribution of multivariate extremes. Comm. Statist. Stochastic Models, 9(2), 275-309.
    • (1993) Comm. Statist. Stochastic Models , vol.9 , Issue.2 , pp. 275-309
    • de Haan, L.1    Resnick, S.2
  • 4
  • 5
    • 0001560652 scopus 로고    scopus 로고
    • A bootstrap-based method to achieve optimality in estimating the extreme-value index
    • Draisma, G., de Haan, L., Peng, L. and Pereira, T. (1999) A bootstrap-based method to achieve optimality in estimating the extreme-value index. Extremes, 2(4), 367-404.
    • (1999) Extremes , vol.2 , Issue.4 , pp. 367-404
    • Draisma, G.1    de Haan, L.2    Peng, L.3    Pereira, T.4
  • 6
    • 0002444740 scopus 로고    scopus 로고
    • Best attainable rates of convergence for estimates of the stable tail dependence functions
    • Drees, H. and Huang, X. (1998) Best attainable rates of convergence for estimates of the stable tail dependence functions. J. Multivariate Anal., 64(1), 25-47.
    • (1998) J. Multivariate Anal , vol.64 , Issue.1 , pp. 25-47
    • Drees, H.1    Huang, X.2
  • 7
    • 0002846813 scopus 로고
    • Estimating a multidimensional extreme value distribution
    • Einmahl, J., de Haan, L. and Huang, X. (1993) Estimating a multidimensional extreme value distribution. J. Multivariate Anal., 47(1), 35-47.
    • (1993) J. Multivariate Anal , vol.47 , Issue.1 , pp. 35-47
    • Einmahl, J.1    de Haan, L.2    Huang, X.3
  • 8
    • 0031572656 scopus 로고    scopus 로고
    • Estimating the spectral measure of an extreme value distribution
    • Einmahl, J., de Haan, L. and Sinha, A. (1997) Estimating the spectral measure of an extreme value distribution. Stochastic Process. Appl., 70(2), 143-171.
    • (1997) Stochastic Process. Appl , vol.70 , Issue.2 , pp. 143-171
    • Einmahl, J.1    de Haan, L.2    Sinha, A.3
  • 9
    • 0035470895 scopus 로고    scopus 로고
    • Nonparametric estimation of the spectral measure of an extreme value distribution
    • Eimahl, J., de Haan, L. and Piterbarg, V. (2001) Nonparametric estimation of the spectral measure of an extreme value distribution. Ann. Statist., 29(5), 1401-1423.
    • (2001) Ann. Statist , vol.29 , Issue.5 , pp. 1401-1423
    • Eimahl, J.1    de Haan, L.2    Piterbarg, V.3
  • 10
    • 33845332074 scopus 로고    scopus 로고
    • Weighted approximations of tail copula processes with application to testing the multivariate extreme condition
    • Einmahl, J., de Haan, L. and Li, D. (2006) Weighted approximations of tail copula processes with application to testing the multivariate extreme condition. Ann. Statist., 34(4).
    • (2006) Ann. Statist , vol.34 , Issue.4
    • Einmahl, J.1    de Haan, L.2    Li, D.3
  • 11
    • 0003326493 scopus 로고
    • Regular Variation, Extensions and Tauberian Theorems
    • Geluk, J. and de Haan, L. (1987) Regular Variation, Extensions and Tauberian Theorems. CWI Tract 40.
    • (1987) CWI Tract , vol.40
    • Geluk, J.1    de Haan, L.2
  • 12
    • 0001263124 scopus 로고
    • A simple general approach to inference about the tail of a distribution
    • Hill, B. (1975) A simple general approach to inference about the tail of a distribution. Ann. Statist., 3(5), 1163-1174.
    • (1975) Ann. Statist , vol.3 , Issue.5 , pp. 1163-1174
    • Hill, B.1
  • 13
    • 0004057107 scopus 로고
    • Doctoral thesis, Tinbergen Institute Research, Series 22, Erasmus University, Rotterdam
    • Huang, X. (1992) Statistics of bivariate extremes. Doctoral thesis, Tinbergen Institute Research, Series 22, Erasmus University, Rotterdam.
    • (1992) Statistics of bivariate extremes
    • Huang, X.1
  • 14
    • 0036756224 scopus 로고    scopus 로고
    • Multivariate extremes, aggregation and dependence in elliptical distributions
    • Hult, H. and Lindskog, F. (2002) Multivariate extremes, aggregation and dependence in elliptical distributions. Adv. Appl. Probab., 34(3), 587-608.
    • (2002) Adv. Appl. Probab , vol.34 , Issue.3 , pp. 587-608
    • Hult, H.1    Lindskog, F.2
  • 16
    • 0001484870 scopus 로고    scopus 로고
    • Modelling dependence within joint tail regions. Statistics for near independence in multivariate extreme values
    • Ledford, A. and Tawn, J. (1997) Modelling dependence within joint tail regions. Statistics for near independence in multivariate extreme values. J. Royal Statist. Soc. Ser. B, 59(2), 475-499.
    • (1997) J. Royal Statist. Soc. Ser. B , vol.59 , Issue.2 , pp. 475-499
    • Ledford, A.1    Tawn, J.2
  • 17
    • 2142821372 scopus 로고    scopus 로고
    • Hill's estimator for the tail index of an ARMA model
    • Ling, S. and Peng, L. (2004) Hill's estimator for the tail index of an ARMA model. J. Statist. Plann. Inference, 123(2), 279-293.
    • (2004) J. Statist. Plann. Inference , vol.123 , Issue.2 , pp. 279-293
    • Ling, S.1    Peng, L.2
  • 20
    • 4644245624 scopus 로고    scopus 로고
    • Credit risk modelling and estimation via elliptical copulae
    • G. Bol, G. Nakhaeizadeh, S.T. Rachev, T. Ridder and K.-H. Vollmer eds, Heidelberg: Physica-Verlag
    • Schmidt, R. (2003) Credit risk modelling and estimation via elliptical copulae. In G. Bol, G. Nakhaeizadeh, S.T. Rachev, T. Ridder and K.-H. Vollmer (eds), Credit Risk Measurement, Evaluation and Management, pp. 267-289. Heidelberg: Physica-Verlag.
    • (2003) Credit Risk Measurement, Evaluation and Management , pp. 267-289
    • Schmidt, R.1
  • 21
    • 33745318081 scopus 로고    scopus 로고
    • Nonparametric estimation of tail dependence
    • Schmidt, R. and Stadtmüller, U. (2006) Nonparametric estimation of tail dependence. Scand. J. Statist., 33, 307-335.
    • (2006) Scand. J. Statist , vol.33 , pp. 307-335
    • Schmidt, R.1    Stadtmüller, U.2
  • 22
    • 0001423124 scopus 로고
    • Bivariate extreme value theory: Models and estimation
    • Tawn, J. (1988) Bivariate extreme value theory: models and estimation. Biometrika, 75(3), 397-415.
    • (1988) Biometrika , vol.75 , Issue.3 , pp. 397-415
    • Tawn, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.