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A kind of dividend problem for the classical risk process perturbed by diffusion
Lv Yuhua * #,Wu Rong
Qufu Normal University
*Correspondence author
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Funding: none
Opened online: 2 May 2006
Accepted by: none
Citation: Lv Yuhua ,Wu Rong.A kind of dividend problem for the classical risk process perturbed by diffusion[OL]. [ 2 May 2006] http://en.paper.edu.cn/en_releasepaper/content/6489
 
 
In this paper, we consider the classical risk process perturbed by diffusion. The analysis is focused on the aggregate dividends and the Laplace transforms of ruin time. We showed that both the expected discounted dividends and the Laplace transforms of ruin time under a barrier strategy satisfy some integro-differential equation, and give the closed form expression of them, extending the results of Gerber and Shiu (2006).
Keywords:Time of ruin, Laplace transform
 
 
 

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