Almost sure convergence of a tail index estimator in the presence of censoringConvergence presque sûre d'un index de queue en présence de censure |
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Authors: | Emmanuel Delafosse Armelle Guillou |
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Institution: | Université Paris VI, L.S.T.A., bo??te 158, 4, place Jussieu, 75252 Paris cedex 05, France |
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Abstract: | In Beirlant and Guillou 1] an exponential regression model was introduced on the basis of scaled log-spacing between subsequent extreme order statistics from a Pareto-type distribution in the presence of censoring. From this representation, they derived an estimator for the Pareto index. In this note, we revisit this adaptation of the popular Hill 5] estimator for heavy-tailed distributions, generalizing the almost sure convergence of this estimator under very general conditions on Nr, the number of non-censored observations. To cite this article: E. Delafosse, A. Guillou, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 375–380. |
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