Linking Pareto-Tail Kernel Goodness-Offit Statistics with Tail Index at Optimal Threshold and Second Order Estimation

In this paper the relation between goodness-of-fit testing and the optimal selection of the sample fraction for tail estimation, for instance using Hill’s estimator, is examined. We consider this problem under a general kernel goodness-of-fit test statistic for assessing whether a sample is consist...

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Bibliographic Details
Main Authors: Yuri Goegebeur, Jan Beirlant, Tertius de Wet
Format: Article
Language:English
Published: Instituto Nacional de Estatística | Statistics Portugal 2008-03-01
Series:Revstat Statistical Journal
Subjects:
Online Access:https://revstat.ine.pt/index.php/REVSTAT/article/view/57