Ruin probability with variable premium rate and disturbed by diffusion in a Markovian environment

被引:0
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作者
Liu, Yan [1 ]
Hu, Yi-Jun [1 ]
机构
[1] Sch. of Math. and Stat., Wuhan Univ., Wuhan 430072, China
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D O I
10.1007/bf02830430
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学科分类号
摘要
We consider a risk model with a premium rate which varies with the level of free reserves. In this model, the occurrence of claims is described by a Cox process with Markov intensity process, and the influence of stochastic factors is considered by adding a diffusion process. The integro-differential equation for the ruin probability is derived by an infinitesimal method.
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页码:399 / 403
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