메뉴 건너뛰기




Volumn 136, Issue 3, 2006, Pages 705-729

Semiparametric lower bounds for tail index estimation

Author keywords

Extreme value theory; Local asymptotic normality; Pareto model; Weibull model

Indexed keywords


EID: 28044470283     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2004.08.018     Document Type: Article
Times cited : (24)

References (21)
  • 6
    • 0032330687 scopus 로고    scopus 로고
    • Comparison of tail index estimators
    • L. De Haan L. Peng Comparison of tail index estimators Statistica Neerlandica 52 1998 60-70
    • (1998) Statistica Neerlandica , vol.52 , pp. 60-70
    • De Haan, L.1    Peng, L.2
  • 7
    • 0011515738 scopus 로고    scopus 로고
    • On asymptotic normality of the Hill estimator
    • L. De Haan S. Resnick On asymptotic normality of the Hill estimator Stochastic Models 14 1998 849-867
    • (1998) Stochastic Models , vol.14 , pp. 849-867
    • De Haan, L.1    Resnick, S.2
  • 8
    • 0001760675 scopus 로고
    • A moment estimator for the index of an extreme-value distribution
    • A.L.M. Dekkers J.H.J. Einmahl L. de Haan A moment estimator for the index of an extreme-value distribution Ann. Statist. 17 1989 1833-1855
    • (1989) Ann. Statist. , vol.17 , pp. 1833-1855
    • Dekkers, A.L.M.1    Einmahl, J.H.J.2    de Haan, L.3
  • 9
    • 0032387074 scopus 로고    scopus 로고
    • Optimal rates of convergence for estimates of the extreme value index
    • H. Drees Optimal rates of convergence for estimates of the extreme value index Ann. Statist. 26 1998 434-448
    • (1998) Ann. Statist. , vol.26 , pp. 434-448
    • Drees, H.1
  • 10
    • 0035616518 scopus 로고    scopus 로고
    • Minimax risk bounds in extreme value theory
    • H. Drees Minimax risk bounds in extreme value theory Ann. Statist. 29 2001 266-294
    • (2001) Ann. Statist. , vol.29 , pp. 266-294
    • Drees, H.1
  • 11
    • 21344459831 scopus 로고
    • On testing the extreme value index via the POT-method
    • M. Falk On testing the extreme value index via the POT-method Ann. Statist. 23 1995 2013-2025
    • (1995) Ann. Statist. , vol.23 , pp. 2013-2025
    • Falk, M.1
  • 12
    • 0001618329 scopus 로고
    • On asymptotic normality of Hill's estimator for the exponent of regular variation
    • E. Haeusler J.L. Teugels On asymptotic normality of Hill's estimator for the exponent of regular variation Ann. Statist. 13 1985 743-756
    • (1985) Ann. Statist. , vol.13 , pp. 743-756
    • Haeusler, E.1    Teugels, J.L.2
  • 13
    • 0002407801 scopus 로고
    • On some simple estimates of an exponent of regular variation
    • P. Hall On some simple estimates of an exponent of regular variation J. Roy. Statist. Soc. Ser. B 44 1982 37-42
    • (1982) J. Roy. Statist. Soc. Ser. B , vol.44 , pp. 37-42
    • Hall, P.1
  • 14
    • 0000468598 scopus 로고
    • Best attainable rates of convergence for estimates of parameters of regular variation
    • P. Hall A.H. Welsh Best attainable rates of convergence for estimates of parameters of regular variation Ann. Statist. 12 1984 1079-1084
    • (1984) Ann. Statist. , vol.12 , pp. 1079-1084
    • Hall, P.1    Welsh, A.H.2
  • 15
    • 0000817285 scopus 로고
    • Adaptive estimates of parameters of regular variation
    • P. Hall A.H. Welsh Adaptive estimates of parameters of regular variation Ann. Statist. 13 1985 331-341
    • (1985) Ann. Statist. , vol.13 , pp. 331-341
    • Hall, P.1    Welsh, A.H.2
  • 16
    • 1542351023 scopus 로고
    • Statistical estimation of large claim distributions
    • Keller, B., Klüppelberg, C., 1991. Statistical estimation of large claim distributions. Mitt. SVVM 203-216.
    • (1991) Mitt. SVVM , pp. 203-216
    • Keller, B.1    Klüppelberg, C.2
  • 17
    • 51249164900 scopus 로고
    • Estimation of distribution tails - A semiparametric approach
    • C. Klüppelberg J.A. Villaseñor Estimation of distribution tails - a semiparametric approach Blätter DGVM 21 1993 213-235
    • (1993) Blätter DGVM , vol.21 , pp. 213-235
    • Klüppelberg, C.1    Villaseñor, J.A.2
  • 18
    • 9844232038 scopus 로고    scopus 로고
    • Local asymptotic normality in extreme value index estimation
    • F. Marohn Local asymptotic normality in extreme value index estimation Ann. Inst. Statist. Math. 49 1997 645-666
    • (1997) Ann. Inst. Statist. Math. , vol.49 , pp. 645-666
    • Marohn, F.1
  • 20
    • 0038876140 scopus 로고
    • Uniform rates of convergence in extreme-value theory
    • R.L. Smith Uniform rates of convergence in extreme-value theory Adv. Appl. Probab. 14 1982 600-622
    • (1982) Adv. Appl. Probab. , vol.14 , pp. 600-622
    • Smith, R.L.1
  • 21
    • 21344435406 scopus 로고
    • Asymptotically efficient estimation of the index of regular variation
    • X. Wei Asymptotically efficient estimation of the index of regular variation Ann. Statist. 23 1995 2036-2058
    • (1995) Ann. Statist. , vol.23 , pp. 2036-2058
    • Wei, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.