메뉴 건너뛰기




Volumn 13, Issue 3, 2010, Pages 269-290

Asymptotic normality of location invariant heavy tail index estimator

Author keywords

Asymptotic normality; Location invariant index estimator; Second order regular variation; Tail index

Indexed keywords


EID: 77954861940     PISSN: 13861999     EISSN: 1572915X     Source Type: Journal    
DOI: 10.1007/s10687-009-0088-4     Document Type: Article
Times cited : (8)

References (26)
  • 1
    • 2642550931 scopus 로고    scopus 로고
    • On exponential representions of log-spacings of extreme order statistics
    • Beirlant, J., Dierckx, G., Guillou, A., Stǎricǎ, C.: On exponential representions of log-spacings of extreme order statistics. Extremes 5, 157-180 (2002).
    • (2002) Extremes , vol.5 , pp. 157-180
    • Beirlant, J.1    Dierckx, G.2    Guillou, A.3    Stǎricǎ, C.4
  • 2
    • 0036988120 scopus 로고    scopus 로고
    • A class of asymptotically unbiansed semi-parametric estimators of the tail index
    • Caeiro, F., Gomes, M. I.: A class of asymptotically unbiansed semi-parametric estimators of the tail index. Test 11, 345-364 (2002).
    • (2002) Test , vol.11 , pp. 345-364
    • Caeiro, F.1    Gomes, M.I.2
  • 4
    • 0032330687 scopus 로고    scopus 로고
    • Comparison of tail index estimators
    • de Haan, L., Peng, L.: Comparison of tail index estimators. Stat. Neerl. 52, 60-70 (1998).
    • (1998) Stat. Neerl. , vol.52 , pp. 60-70
    • de Haan, L.1    Peng, L.2
  • 5
    • 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. Ann. Stat. 4, 1833-1855 (1989).
    • (1989) Ann. Stat. , vol.4 , pp. 1833-1855
    • Dekkers, A.L.M.1    Einmahl, J.H.J.2    de Haan, L.3
  • 6
    • 8344233641 scopus 로고    scopus 로고
    • A location invariant Hill-type estimator
    • Fraga Alves, M. I.: A location invariant Hill-type estimator. Extremes 4, 199-217 (2001).
    • (2001) Extremes , vol.4 , pp. 199-217
    • Fraga Alves, M.I.1
  • 7
    • 10244233506 scopus 로고    scopus 로고
    • A new class of sem-parametric estimators of the second order parameter
    • Fraga Alves, M. I., Gomes, M. I., de Haan, L.: A new class of sem-parametric estimators of the second order parameter. Port. Math. 60, 193-213 (2003).
    • (2003) Port. Math. , vol.60 , pp. 193-213
    • Fraga Alves, M.I.1    Gomes, M.I.2    de Haan, L.3
  • 8
    • 67349213977 scopus 로고    scopus 로고
    • Mixed moment estimator and location invariant alternatives
    • doi:10.1007/s10687-008-0073-3
    • Fraga Alves, M. I., Gomes, M. I., de Haan, L., Neves, C.: Mixed moment estimator and location invariant alternatives. Extremes (2008). doi: 10. 1007/s10687-008-0073-3.
    • (2008) Extremes
    • Fraga Alves, M.I.1    Gomes, M.I.2    de Haan, L.3    Neves, C.4
  • 9
    • 37849040464 scopus 로고    scopus 로고
    • Tail index estimation for heavy-tailed models: Accommodation of bias in weighted log-excesses
    • Gomes, M. I, de Haan, L., Henriques Rodrigues, L.: Tail index estimation for heavy-tailed models: accommodation of bias in weighted log-excesses. J. R. Stat. Soc., Ser. B 70, 31-53 (2008).
    • (2008) J. R. Stat. Soc., Ser. B , vol.70 , pp. 31-53
    • Gomes, M.I.1    de Haan, L.2    Henriques Rodrigues, L.3
  • 10
    • 10244241162 scopus 로고    scopus 로고
    • Semi-parametric estimation of second order parameter in statistics of extremes
    • Gomes, M. I., de Haan, L., Peng, L.: Semi-parametric estimation of second order parameter in statistics of extremes. Extremes 5, 387-414 (2002).
    • (2002) Extremes , vol.5 , pp. 387-414
    • Gomes, M.I.1    de Haan, L.2    Peng, L.3
  • 11
    • 49249111136 scopus 로고    scopus 로고
    • Tail index estimation for heavy tails: Accommodation of bias in the excesses over a high threshold
    • doi:10.1007/s10687-008-0059-1
    • Gomes, M. I., Henriques Rodrigues, L.: Tail index estimation for heavy tails: accommodation of bias in the excesses over a high threshold. Extremes (2008). doi: 10. 1007/s10687-008-0059-1.
    • (2008) Extremes
    • Gomes, M.I.1    Henriques Rodrigues, L.2
  • 12
    • 0000866457 scopus 로고    scopus 로고
    • Generalizations of the Hill estimator-asymptotic versus finite sample behavior
    • Gomes, M. I., Martins, M. J.: Generalizations of the Hill estimator-asymptotic versus finite sample behavior. J. Stat. Plan. Inference 93, 161-180 (2001).
    • (2001) J. Stat. Plan. Inference , vol.93 , pp. 161-180
    • Gomes, M.I.1    Martins, M.J.2
  • 13
    • 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 5, 5-31 (2002).
    • (2002) Extremes , vol.5 , pp. 5-31
    • Gomes, M.I.1    Martins, M.J.2
  • 14
    • 3042543711 scopus 로고    scopus 로고
    • Bias reduction and explicit estimation of the tail index
    • Gomes, M. I., Martins, M. J.: Bias reduction and explicit estimation of the tail index. J. Stat. Plan. Inference 124, 361-378 (2004).
    • (2004) J. Stat. Plan. Inference , vol.124 , pp. 361-378
    • Gomes, M.I.1    Martins, M.J.2
  • 15
    • 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., Neves, M.: Alternatives to a semi-parametric estimator of parameters of rare events-the Jackknife methodology. Extremes 3, 207-229 (2000).
    • (2000) Extremes , vol.3 , pp. 207-229
    • Gomes, M.I.1    Martins, M.J.2    Neves, M.3
  • 16
    • 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. Stat. 3, 1163-1174 (1975).
    • (1975) Ann. Stat. , vol.3 , pp. 1163-1174
    • Hill, B.M.1
  • 17
    • 77954862882 scopus 로고    scopus 로고
    • A class of unbiased location invariant Hill-type estimators for heavy tailed distributions
    • Li, J., Peng, Z., Nadarajah, S.: A class of unbiased location invariant Hill-type estimators for heavy tailed distributions. Electron. J. Stat. 2, 829-847 (2008).
    • (2008) Electron. J. Stat. , vol.2 , pp. 829-847
    • Li, J.1    Peng, Z.2    Nadarajah, S.3
  • 19
    • 85009774801 scopus 로고    scopus 로고
    • A location invariant moment-type estimator (II)
    • Ling, C., Peng, Z., Nadarajah, S.: A location invariant moment-type estimator (II). Theory Probab. Math. Stat. 77, 167-178 (2007b).
    • (2007) Theory Probab. Math. Stat. , vol.77 , pp. 167-178
    • Ling, C.1    Peng, Z.2    Nadarajah, S.3
  • 20
    • 0032087519 scopus 로고    scopus 로고
    • Asymptotically unbiased estimator for the extreme-value index
    • Peng, L.: Asymptotically unbiased estimator for the extreme-value index. Stat. Probab. Lett. 2, 107-115 (1998).
    • (1998) Stat. Probab. Lett. , vol.2 , pp. 107-115
    • Peng, L.1
  • 21
    • 33645030748 scopus 로고    scopus 로고
    • A new calibration method of constructing empirical likelihood-based confidence intervals for the tail index
    • Peng, L., Qi, Y.: A new calibration method of constructing empirical likelihood-based confidence intervals for the tail index. Aust. N. Z. J. Stat. 48, 59-66 (2006a).
    • (2006) Aust. N. Z. J. Stat. , vol.48 , pp. 59-66
    • Peng, L.1    Qi, Y.2
  • 22
    • 33845302985 scopus 로고    scopus 로고
    • Confidence regions for high quantiles of a heavy tailed distribution
    • Peng, L., Qi, Y.: Confidence regions for high quantiles of a heavy tailed distribution. Ann. Stat. 4, 1964-1986 (2006b).
    • (2006) Ann. Stat. , vol.4 , pp. 1964-1986
    • Peng, L.1    Qi, Y.2
  • 23
    • 77950689314 scopus 로고    scopus 로고
    • On the tail index of a heavy tailed distribution
    • doi:10.1007/s10463-008-0176-2
    • Qi, Y.: On the tail index of a heavy tailed distribution. Ann. Inst. Stat. Math. (2008). doi: 10. 1007/s10463-008-0176-2.
    • (2008) Ann. Inst. Stat. Math.
    • Qi, Y.1
  • 24
    • 0017332564 scopus 로고
    • A guide to the Burr type XII distributions
    • Rodriguez, R. N.: A guide to the Burr type XII distributions. Biometrics 64, 129-134 (1977).
    • (1977) Biometrics , vol.64 , pp. 129-134
    • Rodriguez, R.N.1
  • 26
    • 0001602256 scopus 로고
    • A look at the Burr and related distributions
    • Tadikamalla, P. R.: A look at the Burr and related distributions. Int. Stat. Rev. 48, 337-344 (1980).
    • (1980) Int. Stat. Rev. , vol.48 , pp. 337-344
    • Tadikamalla, P.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.