메뉴 건너뛰기




Volumn 140, Issue 9, 2010, Pages 2632-2652

Kernel estimators for the second order parameter in extreme value statistics

Author keywords

Extreme value statistics; Kernel statistic; Pareto type model; Second order parameter

Indexed keywords


EID: 77952550665     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2010.03.029     Document Type: Article
Times cited : (58)

References (24)
  • 1
    • 0001074848 scopus 로고    scopus 로고
    • Tail index estimation and an exponential regression model
    • Beirlant J., Dierckx G., Goegebeur Y., Matthys G. Tail index estimation and an exponential regression model. Extremes 1999, 2:177-200.
    • (1999) Extremes , vol.2 , pp. 177-200
    • Beirlant, J.1    Dierckx, G.2    Goegebeur, Y.3    Matthys, G.4
  • 2
    • 2642550931 scopus 로고    scopus 로고
    • On exponential representations of log-spacings of extreme order statistics
    • Beirlant J., Dierckx G., Guillou A., Stâricâ C. On exponential representations of log-spacings of extreme order statistics. Extremes 2002, 5:157-180.
    • (2002) Extremes , vol.5 , pp. 157-180
    • Beirlant, J.1    Dierckx, G.2    Guillou, A.3    Stâricâ, C.4
  • 6
    • 0002530923 scopus 로고
    • Asymptotic distribution of linear combinations of functions of order statistics with applications to estimation
    • Chernoff H., Gastwirth J.L., Johns M.V. Asymptotic distribution of linear combinations of functions of order statistics with applications to estimation. Annals of Mathematical Statistics 1967, 38:52-72.
    • (1967) Annals of Mathematical Statistics , vol.38 , pp. 52-72
    • Chernoff, H.1    Gastwirth, J.L.2    Johns, M.V.3
  • 7
    • 76549090994 scopus 로고    scopus 로고
    • Semi-parametric estimation for heavy tailed distributions
    • Ciuperca G., Mercadier C. Semi-parametric estimation for heavy tailed distributions. Extremes 2010, 13:55-87.
    • (2010) Extremes , vol.13 , pp. 55-87
    • Ciuperca, G.1    Mercadier, C.2
  • 9
    • 0001760675 scopus 로고
    • A moment estimator for the index of an extreme-value distribution
    • Dekkers A.L.M., Einmahl J.H.J., de Haan L. A moment estimator for the index of an extreme-value distribution. The Annals of Statistics 1989, 17:1833-1855.
    • (1989) The Annals of Statistics , vol.17 , pp. 1833-1855
    • Dekkers, A.L.M.1    Einmahl, J.H.J.2    de Haan, L.3
  • 10
    • 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., Pereira T.T. A bootstrap-based method to achieve optimality in estimating the extreme value index. Extremes 1999, 2:367-404.
    • (1999) Extremes , vol.2 , pp. 367-404
    • Draisma, G.1    de Haan, L.2    Peng, L.3    Pereira, T.T.4
  • 11
    • 3543032096 scopus 로고    scopus 로고
    • Parametric and Semi-Parametric Methods in Extreme Value Theory.
    • Tinbergen Institute Research Series 239, Erasmus Universiteit Rotterdam.
    • Draisma, G., 2000. Parametric and Semi-Parametric Methods in Extreme Value Theory. Tinbergen Institute Research Series 239, Erasmus Universiteit Rotterdam.
    • (2000)
    • Draisma, G.1
  • 12
    • 0001061726 scopus 로고    scopus 로고
    • Selecting the optimal sample fraction in univariate extreme value estimation
    • Drees H., Kaufmann E. Selecting the optimal sample fraction in univariate extreme value estimation. Stochastic Processes and their Applications 1998, 75:149-172.
    • (1998) Stochastic Processes and their Applications , vol.75 , pp. 149-172
    • Drees, H.1    Kaufmann, E.2
  • 13
    • 0033424571 scopus 로고    scopus 로고
    • Estimating a tail exponent by modelling departure from a Pareto distribution
    • Feuerverger A., Hall P. Estimating a tail exponent by modelling departure from a Pareto distribution. The Annals of Statistics 1999, 27:760-781.
    • (1999) The Annals of Statistics , vol.27 , pp. 760-781
    • Feuerverger, A.1    Hall, P.2
  • 14
    • 10244233506 scopus 로고    scopus 로고
    • A new class of semi-parametric estimators of the second order parameter
    • Fraga Alves M.I., Gomes M.I., de Haan L. A new class of semi-parametric estimators of the second order parameter. Portugaliae Mathematica 2003, 60:193-213.
    • (2003) Portugaliae Mathematica , vol.60 , pp. 193-213
    • Fraga Alves, M.I.1    Gomes, M.I.2    de Haan, L.3
  • 15
    • 0003673620 scopus 로고
    • Regular Variation, Extensions and Tauberian Theorems.
    • CWI Tract 40, Center for Mathematics and Computer Science, Amsterdam.
    • Geluk, J.L., de Haan, L., 1987. Regular Variation, Extensions and Tauberian Theorems. CWI Tract 40, Center for Mathematics and Computer Science, Amsterdam.
    • (1987)
    • Geluk, J.L.1    de Haan, L.2
  • 16
    • 0000005110 scopus 로고
    • Sur la distribution limite du terme maximum d'une série aléatoire
    • Gnedenko B.V. Sur la distribution limite du terme maximum d'une série aléatoire. Annals of Mathematics 1943, 44:423-453.
    • (1943) Annals of Mathematics , vol.44 , pp. 423-453
    • Gnedenko, B.V.1
  • 17
    • 75749098196 scopus 로고    scopus 로고
    • Linking Pareto-tail kernel goodness-of-fit statistics with tail index at optimal threshold and second order estimation
    • Goegebeur Y., Beirlant J., de Wet T. Linking Pareto-tail kernel goodness-of-fit statistics with tail index at optimal threshold and second order estimation. REVSTAT-Statistical Journal 2008, 6:51-69.
    • (2008) REVSTAT-Statistical Journal , vol.6 , pp. 51-69
    • Goegebeur, Y.1    Beirlant, J.2    de Wet, T.3
  • 18
    • 10244241162 scopus 로고    scopus 로고
    • Semi-parametric estimation of the second order parameter in statistics of extremes
    • Gomes M.I., de Haan L., Peng L. Semi-parametric estimation of the second order parameter in statistics of extremes. Extremes 2002, 5:387-414.
    • (2002) Extremes , vol.5 , pp. 387-414
    • Gomes, M.I.1    de Haan, L.2    Peng, L.3
  • 20
    • 33845663439 scopus 로고    scopus 로고
    • 'Asymptotically unbiased' estimators of the tail index based on external estimation of the second order parameter
    • Gomes M.I., Martins M.J. 'Asymptotically unbiased' estimators of the tail index based on external estimation of the second order parameter. Extremes 2002, 5:5-31.
    • (2002) Extremes , vol.5 , pp. 5-31
    • Gomes, M.I.1    Martins, M.J.2
  • 22
    • 0000817285 scopus 로고
    • Adaptive estimates of parameters of regular variation
    • Hall P., Welsh A.H. Adaptive estimates of parameters of regular variation. The Annals of Statistics 1985, 13:331-341.
    • (1985) The Annals of Statistics , vol.13 , pp. 331-341
    • Hall, P.1    Welsh, A.H.2
  • 23
    • 0003981320 scopus 로고
    • Van Nostrand Reinhold Company, New York
    • Loève M. Probability Theory 1963, Van Nostrand Reinhold Company, New York.
    • (1963) Probability Theory
    • Loève, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.