中文摘要：

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．

英文摘要：

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.