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A PARTICULAR BIDIMENSIONAL TIME-DEPENDENT RENEWAL RISK MODEL WITH CONSTANT INTEREST RATES

Published online by Cambridge University Press:  07 March 2019

Ke-Ang Fu ,
Chang Ni  and
Hao Chen
Ke-Ang Fu
Affiliation:
School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou310018, China E-mail: fukeang@hotmail.com
Chang Ni
Affiliation:
School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou310018, China E-mail: fukeang@hotmail.com
Hao Chen
Affiliation:
School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou310018, China E-mail: fukeang@hotmail.com
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Abstract

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Consider a particular bidimensional risk model, in which two insurance companies divide between them in different proportions both the premium income and the aggregate claims. In practice, it can be interpreted as an insurer–reinsurer scenario, where the reinsurer takes over a proportion of the insurer's losses. Under the assumption that the claim sizes and inter-arrival times form a sequence of independent and identically distributed random pairs, with each pair obeying a dependence structure, an asymptotic expression for the ruin probability of this bidimensional risk model with constant interest rates is established.

Keywords

bidimensional risk modelconsistent variationproportional reinsuranceruin probabilitytime-dependence

Information

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 34 , Issue 2 , April 2020 , pp. 172 - 182
Copyright
Copyright © Cambridge University Press 2019

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