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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2007, номер 1, страницы 3–24
(Mi basm46)
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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
Pareto approximation of the tail by local exponential modeling
Ion Gramaa, Vladimir Spokoinyb a Université de Bretagne Sud, Tohannic, Vannes, France
b Weierstrass Institute, Berlin, Germany
Аннотация:
We give a new adaptive method for selecting the number of upper order statistics used in the estimation of the tail of a distribution function. Our approach is based on approximation by an exponential model. The selection procedure consists in consecutive testing for the hypothesis of homogeneity of the estimated parameter
against the change-point alternative. The selected number of upper order statistics corresponds to the first detected change-point. Our main results are non-asymptotic.
Ключевые слова и фразы:
nonparametric adaptive estimation, extreme values, tail index, Hill estimator, probabilities of rare events.
Поступила в редакцию: 12.07.2006
Образец цитирования:
Ion Grama, Vladimir Spokoiny, “Pareto approximation of the tail by local exponential modeling”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, no. 1, 3–24
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm46 https://www.mathnet.ru/rus/basm/y2007/i1/p3
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