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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2010-01-01
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Series: | Journal of Probability and Statistics |
Online Access: | http://dx.doi.org/10.1155/2010/965672 |