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The Gerber-Shiu Discounted Penalty Function for a Compound Binomial Risk Model with By-claims
查看参考文献9篇
文摘
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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
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Acta Mathematicae Applicatae Sinica-English Series
,2015,31(1):181-190 【核心库】
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DOI
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10.1007/s10255-015-0459-3
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关键词
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compound binomial risk model
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Gerber-Shiu function
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by-claims
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地址
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School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071
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语种
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英文 |
文献类型
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研究性论文 |
ISSN
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0168-9673 |
学科
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社会科学总论 |
基金
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国家教育部高等学校博士学科点专项科研基金
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文献收藏号
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CSCD:5337283
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参考文献 共
9
共1页
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1.
Dickson D C M. Some comments on the compound binomial model.
Astin Bull,1990,24(1):33-45
|
CSCD被引
16
次
|
|
|
|
2.
Gerber H U. Mathematical fun with the compound Poisson process.
Astin Bull,1988,18(2):161-168
|
CSCD被引
40
次
|
|
|
|
3.
Gerber H U. On the time value of ruin.
N. Am. Actuar. J,1998,2(1):48-78
|
CSCD被引
108
次
|
|
|
|
4.
Pavlova K P. The discrete stationary renewal risk model and the Gerber-Shiu discounted penalty function.
Insurance Math. Econom,2004,35(2):267-277
|
CSCD被引
10
次
|
|
|
|
5.
Shiu E S W. The probability of eventual ruin in the compound binomial model.
Astin Bull,1990,19(2):179-190
|
CSCD被引
25
次
|
|
|
|
6.
Willmot G E. Ruin probabilities in the compound binomial model.
Insurance Math. Econom,1993,12(2):133-142
|
CSCD被引
30
次
|
|
|
|
7.
Wu X. On a discrete time risk model with time-delayed claims and a constant dividend barrier.
Insurance Markets and Companies: Analyses and Actuarial Computations,2012,3(1):50-57
|
CSCD被引
2
次
|
|
|
|
8.
Xiao Y. The compound binomial risk model with time-correlated claims.
Insurance Math. Econom,2007,41(1):124-133
|
CSCD被引
15
次
|
|
|
|
9.
Yuen K C. Ruin probabilities for time-correlated claims in the compound binomial model.
Insurance Math. Econom,2001,29(1):47-57
|
CSCD被引
32
次
|
|
|
|
|
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