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经典风险模型中破产概率的一个渐近式(英文)

THE ASYMPTOTIC BEHAVIOR FOR THE RUIN PROBABILITY IN THE CLASSICAL RISK MODEL
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摘要 本文研究经典风险模型中破产概率的渐近行为.利用几何和的方法,获得了索赔额的分布属于S(γ) ,γ>0,时破产概率的一个局部渐近式.同时,给出了一个具体的数值的例子. In this paper, we investigate the asymptotic behavior for the ruin probability in the classical risk model. A local asymptotic formula for the ruin probability in the classical risk model with the distribution of the claim amount F which belongs to the class S (γ), γ〉 0, is obtained by using the geometric sum method. In addition, a numerical example is given.
出处 《数学杂志》 CSCD 北大核心 2007年第3期249-254,共6页 Journal of Mathematics
基金 Supported in part by the National Science Foundation of China (70273029) theMinistry of Education of China (NCET) .
关键词 经典风险模型 阶梯高分布 几何和 破产概率 Classical risk model ladder height distribution geometric sum ruin probability
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