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Heavy Tails of Discounted Aggregate Claims in the Continuous-Time Renewal Model

Part of: Mathematical economics Stochastic processes

Published online by Cambridge University Press:  14 July 2016

Qihe Tang
Qihe Tang*
Affiliation:
The University of Iowa
*
∗ Postal address: Department of Statistics and Actuarial Science, The University of Iowa, 241 Schaeffer Hall, Iowa City, IA 52242, USA. Email address: qtang@stat.uiowa.edu
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Abstract

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We study the tail behavior of discounted aggregate claims in a continuous-time renewal model. For the case of Pareto-type claims, we establish a tail asymptotic formula, which holds uniformly in time.

Keywords

Asymptoticsextended regular variationrenewal processuniformity

MSC classification

Primary: 91B30: Risk theory, insurance
Secondary: 60G55: Point processes 60G70: Extreme value theory; extremal processes
Type
Research Article
Information
Journal of Applied Probability , Volume 44 , Issue 2 , June 2007 , pp. 285 - 294
Copyright
Copyright © Applied Probability Trust 2007 

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