The Asymptotics of Recovery Probability in the Dual Renewal Risk Model with Constant Interest and Debit Force
Author(s) -
Hao Wang,
Lin Xu
Publication year - 2015
Publication title -
international scholarly research notices
Language(s) - English
Resource type - Journals
ISSN - 2356-7872
DOI - 10.1155/2015/504987
Subject(s) - dual (grammatical number) , constant (computer programming) , markov chain , risk model , discrete time and continuous time , mathematics , computer science , statistical physics , statistics , physics , art , literature , programming language
The asymptotic behavior of the recovery probability for the dual renewal risk model with constant interest and debit force is studied. By means the idea of Markov Skeleton method, we studied the times that the random premium incomes happened and transformed the continuous time model into a discrete time model. By investigating the fluctuations of this discrete time model, we obtained the asymptotic behavior when the random premium income belongs to a kind of heavy-tailed distributions.
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