메뉴 건너뛰기




Volumn 15, Issue 2, 2012, Pages 197-230

Location invariant Weiss-Hill estimator

Author keywords

Extreme value index; Location invariant; Mean squared error; Second order regular variation

Indexed keywords


EID: 84860618637     PISSN: 13861999     EISSN: 1572915X     Source Type: Journal    
DOI: 10.1007/s10687-011-0134-x     Document Type: Article
Times cited : (7)

References (37)
  • 1
    • 40749128454 scopus 로고    scopus 로고
    • Peaks over random threshold methodology for tail index and quantile estimation
    • Araújo Santos, P., Fraga Alves, M. I., Gomes, M. I.: Peaks over random threshold methodology for tail index and quantile estimation. Revstat 4, 227-247 (2006).
    • (2006) Revstat , vol.4 , pp. 227-247
    • Araújo Santos, P.1    Fraga Alves, M.I.2    Gomes, M.I.3
  • 2
    • 5244321845 scopus 로고    scopus 로고
    • Excess functions and estimation of the extreme-value index
    • Beirlant, J., Vynckier, P., Teugels, J. L.: Excess functions and estimation of the extreme-value index. Bernoulli 2, 293-318 (1996).
    • (1996) Bernoulli , vol.2 , pp. 293-318
    • Beirlant, J.1    Vynckier, P.2    Teugels, J.L.3
  • 3
    • 33947287640 scopus 로고    scopus 로고
    • Direct reduction of bias of the classical Hill estimator
    • Caeiro, F., Gomes, M. I., Pestana, D. D. Direct reduction of bias of the classical Hill estimator. Revstat 3, 113-136 (2005).
    • (2005) Revstat , vol.3 , pp. 113-136
    • Caeiro, F.1    Gomes, M.I.2    Pestana, D.D.3
  • 4
    • 0002474927 scopus 로고
    • Extreme value statistics
    • J. Galambos, J. Lechner, and E. Simiu (Eds.), Dordrecht: Kluwer Academic Publications
    • de Haan, L.: Extreme value statistics. In: Galambos, J., Lechner, J., Simiu, E. (eds.) Extreme Value Theory and Applications, pp. 93-122. Kluwer Academic Publications, Dordrecht (1994).
    • (1994) Extreme Value Theory and Applications , pp. 93-122
    • de Haan, L.1
  • 6
    • 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
  • 7
    • 0001591373 scopus 로고
    • On the estimation the extreme-value index and large quantile estimation
    • Dekkers, A. L. M., de Haan, L.: On the estimation the extreme-value index and large quantile estimation. Ann. Stat. 17, 1795-1832 (1989).
    • (1989) Ann. Stat. , vol.17 , pp. 1795-1832
    • Dekkers, A.L.M.1    de Haan, L.2
  • 8
    • 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. 17, 1833-1855 (1989).
    • (1989) Ann. Stat. , vol.17 , pp. 1833-1855
    • Dekkers, A.L.M.1    Einmahl, J.H.J.2    de Haan, L.3
  • 9
    • 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 4, 367-404 (1999).
    • (1999) Extremes , vol.4 , pp. 367-404
    • Draisma, G.1    de Haan, L.2    Peng, L.3    Pereira, T.T.4
  • 10
    • 21844524635 scopus 로고
    • Some best parameter estimates for distributions with finite endpoint
    • Falk, M.: Some best parameter estimates for distributions with finite endpoint. Statistics 27, 115-125 (1995).
    • (1995) Statistics , vol.27 , pp. 115-125
    • Falk, M.1
  • 11
    • 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 (2001a).
    • (2001) Extremes , vol.4 , pp. 199-217
    • Fraga Alves, M.I.1
  • 12
    • 0346511421 scopus 로고    scopus 로고
    • Weiss-Hill estimator
    • Fraga Alves, M. I.: Weiss-Hill estimator. Test 10, 203-224 (2001b).
    • (2001) Test , vol.10 , pp. 203-224
    • Fraga Alves, M.I.1
  • 13
    • 67349213977 scopus 로고    scopus 로고
    • Mixed moment estimators and location invariant alternatives
    • Fraga Alves, M. I., Gomes M. I., de Haan, L., Neves, C.: Mixed moment estimators and location invariant alternatives. Extremes 12, 149-185 (2009).
    • (2009) Extremes , vol.12 , pp. 149-185
    • Fraga Alves, M.I.1    Gomes, M.I.2    de Haan, L.3    Neves, C.4
  • 14
    • 49249111136 scopus 로고    scopus 로고
    • Tail index estimation for heavy tails: accommodation of bias in the excesses over a high threshold
    • Gomes, M. I., Henriques Rodrigues, L.: Tail index estimation for heavy tails: accommodation of bias in the excesses over a high threshold. Extremes 11, 303-328 (2008).
    • (2008) Extremes , vol.11 , pp. 303-328
    • Gomes, M.I.1    Henriques Rodrigues, L.2
  • 15
    • 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
  • 16
    • 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
  • 17
    • 33947256203 scopus 로고    scopus 로고
    • A sturdy reduced bias extreme quantile (VaR) estimator
    • Gomes, M. I., Pestana, D.: A sturdy reduced bias extreme quantile (VaR) estimator. J. Am. Stat. Assoc. 102, 280-292 (2007).
    • (2007) J. Am. Stat. Assoc. , vol.102 , pp. 280-292
    • Gomes, M.I.1    Pestana, D.2
  • 18
    • 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 (2008a).
    • (2008) J. R. Stat. Soc., Ser. B , vol.70 , pp. 31-53
    • Gomes, M.I.1    de Haan, L.2    Henriques Rodrigues, L.3
  • 20
    • 84860639870 scopus 로고    scopus 로고
    • Convergence of a kind of Pickands-type estimator
    • He, L.: Convergence of a kind of Pickands-type estimator. Acta Math. Sin., Chinese Series 47, 805-810 (2004).
    • (2004) Acta Math. Sin., Chinese Series , vol.47 , pp. 805-810
    • He, L.1
  • 21
    • 0001263124 scopus 로고
    • A simple general approach to inference about the tail of a distribution
    • Hill, B.: 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.1
  • 22
    • 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. Electronic Journal of Statistics 2, 829-847 (2008).
    • (2008) Electronic Journal of Statistics , vol.2 , pp. 829-847
    • Li, J.1    Peng, Z.2    Nadarajah, S.3
  • 23
    • 77954861940 scopus 로고    scopus 로고
    • Asymptotic normality of location invariant heavy tail index estimator
    • Li, J., Peng, Z., Nadarajah, S.: Asymptotic normality of location invariant heavy tail index estimator. Extremes 13, 269-290 (2010).
    • (2010) Extremes , vol.13 , pp. 269-290
    • Li, J.1    Peng, Z.2    Nadarajah, S.3
  • 25
  • 26
    • 84860602560 scopus 로고    scopus 로고
    • Selecting the optimal sample fraction in location invariant moment-type estimators
    • (in press)
    • Ling, C., Peng, Z., Nadarajah, S.: Selecting the optimal sample fraction in location invariant moment-type estimators. Theory Probab. Appl. (2009, in press).
    • (2009) Theory Probab. Appl.
    • Ling, C.1    Peng, Z.2    Nadarajah, S.3
  • 29
    • 0032087519 scopus 로고    scopus 로고
    • Asymptotically unbiased estimator for the extreme-value index
    • Peng, L.: Asymptotically unbiased estimator for the extreme-value index. Statistics and Probability Letters 2, 107-115 (1998a).
    • (1998) Statistics and Probability Letters , vol.2 , pp. 107-115
    • Peng, L.1
  • 30
    • 84860613911 scopus 로고    scopus 로고
    • A kind of simplified Pickands-type estimator
    • Peng, Z.: A kind of simplified Pickands-type estimator. Acta Math. Appl. Sin., Chinese Series 4, 539-542 (1998b).
    • (1998) Acta Math. Appl. Sin., Chinese Series , vol.4 , pp. 539-542
    • Peng, Z.1
  • 31
    • 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
  • 32
    • 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
  • 34
    • 0001075431 scopus 로고
    • Statistical inference using extreme order statistics
    • Pickands, J.: Statistical inference using extreme order statistics. Ann. Stat. 3, 119-131 (1975).
    • (1975) Ann. Stat. , vol.3 , pp. 119-131
    • Pickands, J.1
  • 35
    • 77950689314 scopus 로고    scopus 로고
    • On the tail index of a heavy tailed distribution
    • Qi, Y.: On the tail index of a heavy tailed distribution. Ann. Inst. Stat. Math. 62, 277-298 (2010).
    • (2010) Ann. Inst. Stat. Math. , vol.62 , pp. 277-298
    • Qi, Y.1
  • 36
    • 8644283685 scopus 로고    scopus 로고
    • Generalized Pickands estimators for the extreme value index
    • Segers, J.: Generalized Pickands estimators for the extreme value index. J. Stat. Plan. Inference 128, 381-396 (2005).
    • (2005) J. Stat. Plan. Inference , vol.128 , pp. 381-396
    • Segers, J.1
  • 37
    • 0010875353 scopus 로고
    • Asymptotic inference about a density function at the end of its range
    • Weiss, L.: Asymptotic inference about a density function at the end of its range. Nav. Res. Logist. Q. 1, 111-114 (1971).
    • (1971) Nav. Res. Logist. Q. , vol.1 , pp. 111-114
    • Weiss, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.