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The Gerber-Shiu Discounted Penalty Function for a Compound Binomial Risk Model with By-claims

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文摘 A recursive formula of the Gerber-Shiu discounted penalty function for a compound binomial risk model with by-claims is obtained. In the discount-free case, an explicit formula is given. Utilizing such an explicit expression, we derive some useful insurance quantities, including the ruin probability, the density of the deficit at ruin, the joint density of the surplus immediately before ruin and the deficit at ruin, and the density of the claim causing ruin.
来源 Acta Mathematicae Applicatae Sinica-English Series ,2015,31(1):181-190 【核心库】
DOI 10.1007/s10255-015-0459-3
关键词 compound binomial risk model ; Gerber-Shiu function ; by-claims
地址

School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071

语种 英文
文献类型 研究性论文
ISSN 0168-9673
学科 社会科学总论
基金 国家教育部高等学校博士学科点专项科研基金
文献收藏号 CSCD:5337283

参考文献 共 9 共1页

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引证文献 4

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