Gamma Function Approximation of Bower of Aggregate Claim Distribution for Two Different Risk Processes

HUA Chun-rong(School of Mathematics and Statistics,Changshu Institute of Technology,Changshu 215500,China)  

In this paper we consider the risk processes with two classes of business.We first introduce some properties of compound Poisson distribution.Then we get the Gamma function approximation of Bower of aggregate claim distribution for two different risk processes.

【Key Words】： compound Poisson distribution Gamma function Laguerre polynomials

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