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Volumn 36, Issue 5, 2007, Pages 869-886

Asymptotic normality of extreme quantile estimators based on the peaks-over-threshold approach

Author keywords

Extreme quantile; Generalized Pareto distribution; Generalized probability weighted moments estimators; Maximum likelihood estimators; Peaks over threshold approach

Indexed keywords

COMPUTER SIMULATION; MAXIMUM LIKELIHOOD ESTIMATION; OPTIMIZATION; PARETO PRINCIPLE; PROBABILITY DISTRIBUTIONS;

EID: 33947621051     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610920601036317     Document Type: Article
Times cited : (3)

References (20)
  • 1
    • 0001072998 scopus 로고
    • Residual life time at a great age
    • Balkema, A., de Haan, L. (1974). Residual life time at a great age. Ann. Probab. 2:792-801.
    • (1974) Ann. Probab , vol.2 , pp. 792-801
    • Balkema, A.1    de Haan, L.2
  • 2
    • 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. (1989). A moment estimator for the index of an extreme-value distribution. Am. Statist. 17:1833-1855.
    • (1989) Am. Statist , vol.17 , pp. 1833-1855
    • Dekkers, A.L.M.1    Einmahl, J.H.J.2    de Haan, L.3
  • 3
    • 0001591373 scopus 로고
    • On the estimation of the extreme-value index and large quantile estimation
    • Dekkers, A. L. M., de Haan, L. (1989). On the estimation of the extreme-value index and large quantile estimation. Ann. Statist. 17:1795-1832.
    • (1989) Ann. Statist , vol.17 , pp. 1795-1832
    • Dekkers, A.L.M.1    de Haan, L.2
  • 4
    • 0001080355 scopus 로고
    • Optimal choice of sample fraction in extreme-value estimation
    • Dekkers, A. L. M., de Haan, L. (1993). Optimal choice of sample fraction in extreme-value estimation. J. Multivariate Anal. 47:173-195.
    • (1993) J. Multivariate Anal , vol.47 , pp. 173-195
    • Dekkers, A.L.M.1    de Haan, L.2
  • 6
    • 33751094894 scopus 로고    scopus 로고
    • Approximation of the distribution of excesses through a generalized probability-weighted moment method
    • Diebolt, J., Guillou, A., Rached, I. (2007). Approximation of the distribution of excesses through a generalized probability-weighted moment method. J. Statist. Plann. Infer. 137:841-857.
    • (2007) J. Statist. Plann. Infer , vol.137 , pp. 841-857
    • Diebolt, J.1    Guillou, A.2    Rached, I.3
  • 7
    • 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. (1999). A bootstrap-based method to achieve optimality in estimating the extreme-value index. Extremes 2:4:367-404.
    • (1999) Extremes , vol.2 , Issue.4 , pp. 367-404
    • Draisma, G.1    de Haan, L.2    Peng, L.3    Pereira, T.T.4
  • 8
    • 0032361035 scopus 로고    scopus 로고
    • On smooth statistical tail functionals
    • Drees, H. (1998). On smooth statistical tail functionals. Scand. J. Statist. 25:187-210.
    • (1998) Scand. J. Statist , vol.25 , pp. 187-210
    • Drees, H.1
  • 9
    • 22244474071 scopus 로고    scopus 로고
    • On maximum likelihood estimation of the extreme value index
    • Drees, H., Ferreira, A., de Haan, L. (2004). On maximum likelihood estimation of the extreme value index. Ann. Appl. Probab. 14:1179-1201.
    • (2004) Ann. Appl. Probab , vol.14 , pp. 1179-1201
    • Drees, H.1    Ferreira, A.2    de Haan, L.3
  • 10
    • 0141480799 scopus 로고    scopus 로고
    • On optimising the estimation of high quantiles of a probability distribution
    • Ferreira, A., de Haan, L., Peng, L. (2003). On optimising the estimation of high quantiles of a probability distribution. Statistics 37:401-434.
    • (2003) Statistics , vol.37 , pp. 401-434
    • Ferreira, A.1    de Haan, L.2    Peng, L.3
  • 11
    • 0000005110 scopus 로고
    • Sur la distribution limite du terme maximum d'une série aléatoire
    • Gnedenko, B. V. (1943). Sur la distribution limite du terme maximum d'une série aléatoire. Ann. Math. 44:423-453.
    • (1943) Ann. Math , vol.44 , pp. 423-453
    • Gnedenko, B.V.1
  • 12
    • 0018713386 scopus 로고
    • Probability-weighted moments: Definition and relation to parameters of several distributions expressable in inverse form
    • Greenwood, J. A., Landwehr, J. M., Matalas, N. C., Wallis, J. R. (1979). Probability-weighted moments: definition and relation to parameters of several distributions expressable in inverse form. Water Resour. Res. 15:1049-1054.
    • (1979) Water Resour. Res , vol.15 , pp. 1049-1054
    • Greenwood, J.A.1    Landwehr, J.M.2    Matalas, N.C.3    Wallis, J.R.4
  • 13
    • 0003032284 scopus 로고
    • Slow variation and characterization of domains of attraction
    • Tiago de Oliveira, J, ed, Dordrecht: Reidel Publishing
    • de Haan, L. (1984). Slow variation and characterization of domains of attraction. In: Tiago de Oliveira, J., ed. Statistical Extremes and Applications. Dordrecht: Reidel Publishing.
    • (1984) Statistical Extremes and Applications
    • de Haan, L.1
  • 16
    • 0002407801 scopus 로고
    • On some simple estimates of an exponent of regular variation
    • Hall, P. (1982). On some simple estimates of an exponent of regular variation. J. Roy. Statist. Soc. Ser. B 44:37-42.
    • (1982) J. Roy. Statist. Soc. Ser. B , vol.44 , pp. 37-42
    • Hall, P.1
  • 17
    • 0001263124 scopus 로고
    • A simple general approach to inference about the tail of a distribution
    • Hill, B. M. (1975). A simple general approach to inference about the tail of a distribution. Ann. Statist. 3:1163-1174.
    • (1975) Ann. Statist , vol.3 , pp. 1163-1174
    • Hill, B.M.1
  • 18
    • 0001075431 scopus 로고
    • Statistical inference using extreme order statistics
    • Pickands III, J. (1975). Statistical inference using extreme order statistics. Ann. Statist. 3:119-131.
    • (1975) Ann. Statist , vol.3 , pp. 119-131
    • Pickands III, J.1
  • 20
    • 84936167519 scopus 로고
    • Estimation of parameters and large quantiles based on the k largest observations
    • Weissman, I. (1978). Estimation of parameters and large quantiles based on the k largest observations. J. Amer. Statist. Assoc. 73:812-815.
    • (1978) J. Amer. Statist. Assoc , vol.73 , pp. 812-815
    • Weissman, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.