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Volumn 79, Issue 3, 2009, Pages 295-303

A note on the asymptotic variance at optimal levels of a bias-corrected Hill estimator

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EID: 58149485450     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2008.08.016     Document Type: Article
Times cited : (26)

References (22)
  • 1
    • 34147125324 scopus 로고    scopus 로고
    • A new class of estimators of a "scale" second order parameter
    • Caeiro F., and Gomes M.I. A new class of estimators of a "scale" second order parameter. Extremes 9 (2006) 193-211
    • (2006) Extremes , vol.9 , pp. 193-211
    • Caeiro, F.1    Gomes, M.I.2
  • 2
    • 58149488505 scopus 로고    scopus 로고
    • Minimum-variance reduced-bias tail index and high quantile estimation
    • Caeiro F., and Gomes M.I. Minimum-variance reduced-bias tail index and high quantile estimation. Revstat 6 1 (2008) 1-20
    • (2008) Revstat , vol.6 , Issue.1 , pp. 1-20
    • Caeiro, F.1    Gomes, M.I.2
  • 3
    • 67949121924 scopus 로고    scopus 로고
    • Caeiro, F., Gomes, M.I., 2008. Semi-parametric second-order reduced-bias high quantile estimation. Test (in press). doi:10.1007/s11749-008-0108-8
    • Caeiro, F., Gomes, M.I., 2008. Semi-parametric second-order reduced-bias high quantile estimation. Test (in press). doi:10.1007/s11749-008-0108-8
  • 4
    • 33947287640 scopus 로고    scopus 로고
    • Direct reduction of bias of the classical Hill estimator
    • Caeiro F., Gomes M.I., and Pestana D.D. Direct reduction of bias of the classical Hill estimator. Revstat 3 2 (2005) 113-136
    • (2005) Revstat , vol.3 , Issue.2 , pp. 113-136
    • Caeiro, F.1    Gomes, M.I.2    Pestana, D.D.3
  • 5
    • 0032484340 scopus 로고    scopus 로고
    • A general class of estimators of the extreme value index
    • Drees H. A general class of estimators of the extreme value index. Journal of Statistical Planning and Inference 98 (1998) 95-112
    • (1998) Journal of Statistical Planning and Inference , vol.98 , pp. 95-112
    • Drees, H.1
  • 6
    • 0033424571 scopus 로고    scopus 로고
    • Estimating a tail exponent by modelling departure from a Pareto distribution
    • Feuerverger A., and Hall P. Estimating a tail exponent by modelling departure from a Pareto distribution. The Annals of Statistics 27 (1999) 760-781
    • (1999) The Annals of Statistics , vol.27 , pp. 760-781
    • Feuerverger, A.1    Hall, P.2
  • 7
    • 10244233506 scopus 로고    scopus 로고
    • A new class of semi-parametric estimators of the second order parameter
    • Fraga Alves M.I., Gomes M.I., and de Haan L. A new class of semi-parametric estimators of the second order parameter. Portugaliae Mathematica 60 (2003) 193-214
    • (2003) Portugaliae Mathematica , vol.60 , pp. 193-214
    • Fraga Alves, M.I.1    Gomes, M.I.2    de Haan, L.3
  • 8
    • 58149519845 scopus 로고    scopus 로고
    • Geluk, J., de Haan, L., 1987. Regular Variation, Extensions and Tauberian Theorems. CWI Tract 40, Center for Mathematics and Computer Science, Amsterdam, Netherlands
    • Geluk, J., de Haan, L., 1987. Regular Variation, Extensions and Tauberian Theorems. CWI Tract 40, Center for Mathematics and Computer Science, Amsterdam, Netherlands
  • 9
    • 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 44 (1943) 423-453
    • (1943) Annals of Mathematics , vol.44 , pp. 423-453
    • Gnedenko, B.V.1
  • 10
    • 10244232943 scopus 로고    scopus 로고
    • Bias reduction of an extreme value index estimator through an external estimation of the second order parameter
    • Gomes M.I., Caeiro F., and Figueiredo F. Bias reduction of an extreme value index estimator through an external estimation of the second order parameter. Statistics 38 6 (2004) 497-510
    • (2004) Statistics , vol.38 , Issue.6 , pp. 497-510
    • Gomes, M.I.1    Caeiro, F.2    Figueiredo, F.3
  • 11
    • 37849040464 scopus 로고    scopus 로고
    • Tail index estimation for heavy-tailed models: Accommodation of bias in the weighted log-excesses
    • Gomes M.I., de Haan L., and Henriques Rodrigues L. Tail index estimation for heavy-tailed models: Accommodation of bias in the weighted log-excesses. Journal of Royal Statistical Society B70 1 (2008) 31-52
    • (2008) Journal of Royal Statistical Society , vol.B70 , Issue.1 , pp. 31-52
    • Gomes, M.I.1    de Haan, L.2    Henriques Rodrigues, L.3
  • 12
    • 10244241162 scopus 로고    scopus 로고
    • Semi-parametric estimation of the second order parameter - asymptotic and finite sample behaviour
    • Gomes M.I., de Haan L., and Peng L. Semi-parametric estimation of the second order parameter - asymptotic and finite sample behaviour. Extremes 5 4 (2002) 387-414
    • (2002) Extremes , vol.5 , Issue.4 , pp. 387-414
    • Gomes, M.I.1    de Haan, L.2    Peng, L.3
  • 14
    • 33845663439 scopus 로고    scopus 로고
    • "Asymptotically unbiased" estimators of the tail index based on external estimation of the second order parameter
    • Gomes M.I., and Martins M.J. "Asymptotically unbiased" estimators of the tail index based on external estimation of the second order parameter. Extremes 5 1 (2002) 5-31
    • (2002) Extremes , vol.5 , Issue.1 , pp. 5-31
    • Gomes, M.I.1    Martins, M.J.2
  • 15
    • 39449112523 scopus 로고    scopus 로고
    • Improving second order reduced bias extreme value index estimation
    • Gomes M.I., Martins M.J., and Neves M. Improving second order reduced bias extreme value index estimation. Revstat 5 2 (2007) 177-207
    • (2007) Revstat , vol.5 , Issue.2 , pp. 177-207
    • Gomes, M.I.1    Martins, M.J.2    Neves, M.3
  • 16
    • 0013127441 scopus 로고    scopus 로고
    • The bootstrap methodology in Statistics of Extremes - choice of the optimal sample fraction
    • Gomes M.I., and Oliveira O. The bootstrap methodology in Statistics of Extremes - choice of the optimal sample fraction. Extremes 4 4 (2001) 331-358
    • (2001) Extremes , vol.4 , Issue.4 , pp. 331-358
    • Gomes, M.I.1    Oliveira, O.2
  • 18
    • 58149503505 scopus 로고    scopus 로고
    • de Haan, L., 1970. On Regular Variation and its Application to the Weak Convergence of Sample Extremes. Mathematical Centre Tract 32, Amsterdam
    • de Haan, L., 1970. On Regular Variation and its Application to the Weak Convergence of Sample Extremes. Mathematical Centre Tract 32, Amsterdam
  • 19
    • 0003032284 scopus 로고
    • Slow variation and characterization of domains of attraction
    • de Oliveira T. (Ed), D. Reidel, Dordrecht, Holland
    • de Haan L. Slow variation and characterization of domains of attraction. In: de Oliveira T. (Ed). Statistical Extremes and Applications (1984), D. Reidel, Dordrecht, Holland 31-48
    • (1984) Statistical Extremes and Applications , pp. 31-48
    • de Haan, L.1
  • 20
    • 0032330687 scopus 로고    scopus 로고
    • Comparison of tail index estimators
    • de Haan L., and Peng L. 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
  • 21
    • 0001263124 scopus 로고
    • A simple general approach to inference about the tail of a distribution
    • Hill B.M. A simple general approach to inference about the tail of a distribution. The Annals of Statistics 3 (1975) 1163-1174
    • (1975) The Annals of Statistics , vol.3 , pp. 1163-1174
    • Hill, B.M.1
  • 22
    • 3042734524 scopus 로고    scopus 로고
    • Estimating the first and second order parameters of a heavy tailed distribution
    • Peng L., and Qi Y. Estimating the first and second order parameters of a heavy tailed distribution. Australian and New Zealand Journal of Statistics 46 (2004) 305-312
    • (2004) Australian and New Zealand Journal of Statistics , vol.46 , pp. 305-312
    • Peng, L.1    Qi, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.