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Original Articles

Peaks-Over-Threshold Modeling Under Random Censoring

, &
Pages 1158-1179 | Received 17 Jun 2008, Accepted 27 Feb 2009, Published online: 22 Mar 2010

References

  • Andersen , P. K. , Borgan , O. , Gill , R. D. , Keiding , N. ( 1993 ). Statistical Models Based on Counting Processes . New York : Springer .
  • Balkema , A. , de Haan , L. ( 1974 ). Residual life at great age . Ann. Probab. 2 : 792 – 804 .
  • Beirlant , J. , Goegebeur , Y. , Segers , J. , Teugels , J. ( 2004 ). Statistics of Extremes, Theory and Applications . New York : Wiley .
  • Beirlant , J. , Guillou , A. , Dierckx , G. , Fils-Villetard , A. ( 2007 ). Estimation of the extreme value index and extreme quantiles under random censoring . Extremes 10 : 151 – 174 .
  • Beirlant , J. , Vynckier , P. , Teugels , J. L. ( 1996 ). Tail index estimation, Pareto quantile plots, and regression diagnostics . J. Amer. Statist. Assoc. 91 : 1659 – 1667 .
  • Bingham , N. H. , Goldie , C. M. , Teugels , J. L. ( 1987 ). Regular Variation . Cambridge , UK : Cambridge University Press .
  • Dekkers , A. L. M. , Einmahl , J. H. J. , de Haan , L. ( 1989 ). A moment estimator for the index of an extreme-value distribution . Ann. Statist. 17 : 1833 – 1855 .
  • Drees , H. ( 1998 ). On smooth statistical tail functionals . Scand. J. Statist. 25 : 187 – 210 .
  • Drees , H. , Ferreira , A. , de Haan , L. ( 2004 ). On maximum likelihood estimation of the extreme value index . Ann. Appl. Probab. 14 : 1179 – 1201 .
  • Einmahl , J. H. J. , Fils-Villetard , A. , Guillou , A. ( 2008 ). Statistics of extremes under random censoring . Bernoulli 14 ( 1 ): 207 – 227 .
  • de Haan , L. , Ferreira , A. ( 2006 ). Extreme Value Theory: An Introduction . New York : Springer .
  • de Haan , L. , Stadtmüller , U. ( 1996 ). Generalized regular variation of second order . J. Austral. Math. Soc. Ser. A 61 : 381 – 395 .
  • Hill , B. M. (1975). A simple general approach to inference about the tail of a distribution. Ann. Statist. 3:1163–1174.
  • Lehmann , E. L. ( 1991 ). Theory of Point Estimation . Pacific Grove , CA : Wadsworth & Brooks/Cole Advanced Books & Software .
  • Pickands III , J. ( 1975 ). Statistical inference using extreme order statistics . Ann. Statist. 3 : 119 – 131 .
  • Smith , R. L. ( 1987 ). Estimating tails of probability distributions . Ann. Statist. 15 : 1174 – 1207 .

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