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Volumn 138, Issue 6, 2008, Pages 1851-1870

Improved reduced-bias tail index and quantile estimators

Author keywords

Extreme value statistics; Heavy tails; High quantiles

Indexed keywords


EID: 39449102815     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2007.07.015     Document Type: Article
Times cited : (33)

References (29)
  • 1
    • 0001074848 scopus 로고    scopus 로고
    • Tail index estimation and an exponential regression model
    • Beirlant J., Dierckx G., Goegebeur Y., and Matthys G. Tail index estimation and an exponential regression model. Extremes 2 (1999) 177-200
    • (1999) Extremes , vol.2 , pp. 177-200
    • Beirlant, J.1    Dierckx, G.2    Goegebeur, Y.3    Matthys, G.4
  • 3
    • 34147125324 scopus 로고    scopus 로고
    • A new class of estimators of the "scale" second order parameter
    • Caeiro F., and Gomes M.I. A new class of estimators of the "scale" second order parameter. Extremes 9 (2006) 193-211
    • (2006) Extremes , vol.9 , pp. 193-211
    • Caeiro, F.1    Gomes, M.I.2
  • 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
  • 6
    • 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. J. Statist. Plann. Inference 98 (1998) 95-112
    • (1998) J. Statist. Plann. Inference , vol.98 , pp. 95-112
    • Drees, H.1
  • 7
    • 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. Ann. Statist. 27 (1999) 760-781
    • (1999) Ann. Statist. , vol.27 , pp. 760-781
    • Feuerverger, A.1    Hall, P.2
  • 8
    • 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. Portugal. Math. 60 2 (2003) 194-213
    • (2003) Portugal. Math. , vol.60 , Issue.2 , pp. 194-213
    • Fraga Alves, M.I.1    Gomes, M.I.2    de Haan, L.3
  • 9
    • 39449128063 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, The Netherlands.
    • Geluk, J., de Haan L., 1987. Regular Variation, Extensions and Tauberian Theorems. CWI Tract 40, Center for Mathematics and Computer Science, Amsterdam, The Netherlands.
  • 10
    • 33845642085 scopus 로고    scopus 로고
    • Bias reduction in risk modelling: semi-parametric quantile estimation
    • Gomes M.I., and Figueiredo F. Bias reduction in risk modelling: semi-parametric quantile estimation. Test 15 2 (2006) 375-396
    • (2006) Test , vol.15 , Issue.2 , pp. 375-396
    • Gomes, M.I.1    Figueiredo, F.2
  • 11
    • 0000866457 scopus 로고    scopus 로고
    • Alternatives to Hill's estimator-asymptotic versus finite sample behavior
    • Gomes M.I., and Martins M.J. Alternatives to Hill's estimator-asymptotic versus finite sample behavior. J. Statist. Plann. Inference 93 (2001) 161-180
    • (2001) J. Statist. Plann. Inference , vol.93 , pp. 161-180
    • Gomes, M.I.1    Martins, M.J.2
  • 12
    • 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
  • 13
    • 3042543711 scopus 로고    scopus 로고
    • Bias reduction and explicit estimation of the tail index
    • Gomes M.I., and Martins M.J. Bias reduction and explicit estimation of the tail index. J. Statist. Plann. Inference 124 (2004) 361-378
    • (2004) J. Statist. Plann. Inference , vol.124 , pp. 361-378
    • Gomes, M.I.1    Martins, M.J.2
  • 14
    • 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
  • 15
    • 34249049511 scopus 로고    scopus 로고
    • A simple second order reduced-bias' tail index estimator
    • Gomes M.I., and Pestana D. A simple second order reduced-bias' tail index estimator. J. Statist. Comput. Simulation 77 6 (2007) 487-504
    • (2007) J. Statist. Comput. Simulation , vol.77 , Issue.6 , pp. 487-504
    • Gomes, M.I.1    Pestana, D.2
  • 16
    • 33947256203 scopus 로고    scopus 로고
    • A sturdy reduced-bias extreme quantile (VaR) estimator
    • Gomes M.I., and Pestana D. A sturdy reduced-bias extreme quantile (VaR) estimator. J. Amer. Statist. Assoc. 102 477 (2007) 280-292
    • (2007) J. Amer. Statist. Assoc. , vol.102 , Issue.477 , pp. 280-292
    • Gomes, M.I.1    Pestana, D.2
  • 17
    • 0002639503 scopus 로고    scopus 로고
    • Alternatives to a semi-parametric estimator of parameters of rare events-the Jackknife methodology
    • Gomes M.I., Martins M.J., and Neves M. Alternatives to a semi-parametric estimator of parameters of rare events-the Jackknife methodology. Extremes 3 3 (2000) 207-229
    • (2000) Extremes , vol.3 , Issue.3 , pp. 207-229
    • Gomes, M.I.1    Martins, M.J.2    Neves, M.3
  • 18
    • 10244232943 scopus 로고    scopus 로고
    • Bias reduction of a tail index estimator through an external estimation of the second order parameter
    • Gomes M.I., Caeiro F., and Figueiredo F. Bias reduction of a tail 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
  • 19
    • 37849040464 scopus 로고    scopus 로고
    • Gomes, M.I., de Haan, L., Henriques Rodrigues, L., 2004b. Tail index estimation through accommodation of bias in the weighted log-excesses. J. Roy. Statist. Soc. Ser. B, accepted for publication, doi: 10.1111/j.1467-9869.2007.00620.x.
    • Gomes, M.I., de Haan, L., Henriques Rodrigues, L., 2004b. Tail index estimation through accommodation of bias in the weighted log-excesses. J. Roy. Statist. Soc. Ser. B, accepted for publication, doi: 10.1111/j.1467-9869.2007.00620.x.
  • 20
    • 21644487570 scopus 로고    scopus 로고
    • Asymptotically best linear unbiased estimators under a second-order regular variation condition
    • Gomes M.I., Figueiredo F., and Mendonça S. Asymptotically best linear unbiased estimators under a second-order regular variation condition. J. Statist. Plann. Inference 134 (2005) 409-433
    • (2005) J. Statist. Plann. Inference , vol.134 , pp. 409-433
    • Gomes, M.I.1    Figueiredo, F.2    Mendonça, S.3
  • 21
    • 39449117370 scopus 로고    scopus 로고
    • Gomes, M.I., Henriques Rodrigues, L., Viseu, C., Vandewalle, B., 2006. A heuristic adaptive choice of the threshold for bias-corrected Hill estimators. J. Statist. Comput. Simulation, in press, doi: 10.1080/10629360600954000.
    • Gomes, M.I., Henriques Rodrigues, L., Viseu, C., Vandewalle, B., 2006. A heuristic adaptive choice of the threshold for bias-corrected Hill estimators. J. Statist. Comput. Simulation, in press, doi: 10.1080/10629360600954000.
  • 22
    • 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
  • 23
    • 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
  • 24
    • 0002407801 scopus 로고
    • On some simple estimates of an exponent of regular variation
    • Hall P. On some simple estimates of an exponent of regular variation. J. Roy. Statist. Soc. 44 1 (1982) 37-42
    • (1982) J. Roy. Statist. Soc. , vol.44 , Issue.1 , pp. 37-42
    • Hall, P.1
  • 25
    • 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. Ann. Statist. 3 (1975) 1163-1174
    • (1975) Ann. Statist. , vol.3 , pp. 1163-1174
    • Hill, B.M.1
  • 26
    • 2642586330 scopus 로고    scopus 로고
    • Estimating catastrophic quantile levels for heavy-tailed distributions
    • Matthys G., Delafosse M., Guillou A., and Beirlant J. Estimating catastrophic quantile levels for heavy-tailed distributions. Insurance Math. Econom. 34 (2004) 517-537
    • (2004) Insurance Math. Econom. , vol.34 , pp. 517-537
    • Matthys, G.1    Delafosse, M.2    Guillou, A.3    Beirlant, J.4
  • 27
    • 0032087519 scopus 로고    scopus 로고
    • Asymptotically unbiased estimator for the extreme-value index
    • Peng L. Asymptotically unbiased estimator for the extreme-value index. Statist. Probab. Lett. 38 2 (1998) 107-115
    • (1998) Statist. Probab. Lett. , vol.38 , Issue.2 , pp. 107-115
    • Peng, L.1
  • 28
    • 33646495325 scopus 로고    scopus 로고
    • On univariate extreme value statistics and the estimation of reinsurance premiums
    • Vandewalle B., and Beirlant J. On univariate extreme value statistics and the estimation of reinsurance premiums. Insurance Math. Econom. 38 3 (2006) 444-459
    • (2006) Insurance Math. Econom. , vol.38 , Issue.3 , pp. 444-459
    • Vandewalle, B.1    Beirlant, J.2
  • 29
    • 84936167519 scopus 로고
    • Estimation of parameters and large quantiles based on the k largest observations
    • Weissman I. Estimation of parameters and large quantiles based on the k largest observations. J. Amer. Statist. Assoc. 73 (1978) 812-815
    • (1978) J. Amer. Statist. Assoc. , vol.73 , pp. 812-815
    • Weissman, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.