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Original Articles

Comparison of estimation methods in extreme value theory

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Pages 759-773 | Published online: 27 Jun 2007

Bibliography

  • Arnold , B.C. , Balakrishnan , N. and Nagaraja , H.N. 1992 . A first course in order statistics , New York : John Wiley and Sons .
  • Boos , D.D. 1984 . Using extreme value theory to estimate large percentiles . Technometrics , 26 : 33 – 39 .
  • Castillo , E. 1988 . Extreme Value Theory in Engineering , London : Academic Press .
  • David , H.A. 1981 . Order Statistics , New York : John Wiley and Sons .
  • Davis , R. and Resnick , S. 1984 . Tail estimates motivated by extreme value theory . Ann, Statist , 12 : 1467 – 1487 .
  • Dekkers , A.L.M. and Haan , L. 1989 . n the estimation of the extreme-value index and large quantile estimation . Ann. Statist , 17 : 1795 – 1832 .
  • Dekkers , A.L. , Einmahi , J.H.J. and De Haan , L. 1989 . A moment estimator for the index of an extreme-value distribution . Ann, Statist , 17 : 1833 – 1855 .
  • Drees H. Refined Pickands' estimators of the extreme value index preprint
  • Gumbel , E.J. 1958 . Statistics of Extremes , Columbia University Press .
  • Hill , B.M. 1975 . A simple general approach to inference about the tail of a distribution . Ann. Statist , 3 : 1163 – 1174 .
  • Hosking , J.R.M. 1985 . Maximum likelihood estimation of the parameters of the generalized extreme-value distribution . Appl Statist , 34 : 301 – 310 . Algorithm AS215
  • Pickands , J. III . 1975 . Statistical inference using extreme order statistics . Ann. Statist , 3 : 119 – 131 .
  • Prescott , P. and Walden , A.T. 1983 . Maximum likelihood estimation of the parameters of the three-parameter generalized extreme-value distribution from censored samples . J, Statist. Simul , 16 : 241 – 250 .
  • Smith , R.L. 1984 . “ Threshold methods for sample extremes ” . In In Statistical Extremes and Applications Edited by: Tiago de Oliveira , J. 621 – 638 .
  • Smith , R.L. and Weissman , I. 1985 . Maximum likelihood estimation of the lower tail of a probability distribution . J. Royal Statist. Soc , 47 : 285 – 298 . Ser. B
  • Smith , R.L. 1987 . Estimating tails of probability distributions . Ann. Statist , 15 ( 3 ) : 1174 – 1207 .
  • Weissman , I. 1978 . Estimation of parameters and large quantiles based on the k largest observations . J. Amer Statist. Assoc , 73 ( 3 ) : 812 – 815 .

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