(Enter summary)
Abstract: The bias of Hill's estimator for the positive extreme value index of a distribution
is investigated in relation with the convergence rate in the regular
variation property of the tail function of the common distribution of the sample
and the corresponding tail quantile function. Based on the theory of
generalised regular variation, natural second-order conditions are proposed
which both imply and are implied by convergence of the expectation of Hill's
estimator to the extreme value index at... (Update)
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BibTeX entry: (Update)
@misc{ segers-abelian,
author = "Johan Segers",
title = "Abelian and Tauberian theorems on the bias of the Hill Estimator",
url = "citeseer.ist.psu.edu/article/segers01abelian.html" }
Citations (may not include all citations):
164
Regular Variation (context) - Bingham, Goldie et al. - 1987
67
A simple general approach to inference about the tail of a d.. (context) - Hill - 1975
55
Modelling Extremal Events (context) - Embrechts, Kluppelberg et al. - 1997
30
On some simple estimates of an exponent of regular variation (context) - Hall - 1982
20
Smoothing the Hill estimator (context) - Resnick, Starica - 1997
18
Practical Analysis of Extreme Values (context) - Beirlant, Teugels et al. - 1996
16
Estimating tails of probability distributions (context) - Smith - 1987
16
Limiting forms of the frequency distribution in the largest .. (context) - Fisher, Tippett - 1928
14
A moment estimator for the index of an extreme-value distrib.. (context) - Dekkers, Einmahl et al. - 1989
12
Optimal choice of sample fraction in extreme-value estimatio.. (context) - Dekkers, de Haan - 1993
12
Geometrizing rates of convergence (context) - Donoho, Liu - 1991
12
Tail estimates motivated by extreme value theory (context) - Davis, Resnick - 1984
11
the estimation of the extremevalue index and large quantile .. (context) - Dekkers, de Haan - 1989
11
Regular variation (context) - Geluk, de Haan - 1987
11
Sur la distribution limite du terme maximum d'une s'erie al'.. (context) - Gnedenko - 1943
[Article contains additional citations not shown here]
Documents on the same site (http://www.kuleuven.ac.be/ucs/research/publi.htm): More
Residual Estimators - Segers (2000)
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Regression with response distributions of Pareto-type - Beirlant, Goegebeur (2000)
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On The Normal Uniform Local Domain of Attraction for Intermediate .. - Segers (2000)
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