POT-Based Estimation of the Renewal Function of Interoccurrence Times of Heavy-Tailed Risks

Making use of the peaks over threshold (POT) estimation method, we propose a semiparametric estimator for the renewal function of interoccurrence times of heavy-tailed insurance claims with infinite variance. We prove that the proposed estimator is consistent and asymptotically normal, and we carry...

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Bibliographic Details
Main Authors: Abdelhakim Necir, Abdelaziz Rassoul, Djamel Meraghni
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2010/965672