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一类Sparre Andersen风险模型的破产前盈余及相关问题

The Maximum Surplus before Ruin in a Class of Sparre Andersen Risk Model and Related Problems
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摘要 在索赔时间间隔为广义Erlang(n)分布的Sparre Andersen风险模型中,文章给出了破产前最大盈余的分布所满足的积分-微分方程及其边界条件。 In this paper, we consider the Sparre Andersen risk model in which the inter-claim times are the gerneralized Erlang(n) distributed, the integro - differential equations of the distribution of the maximum surplus and the boundary conditions are obtained.
作者 温玉珍
出处 《淮北煤炭师范学院学报(自然科学版)》 2007年第3期12-17,共6页 Journal of Huaibei Coal Industry Teachers College(Natural Science edition)
基金 国家自然科学基金资助项目(10471076) 山东省自然科学基金资助项目(Y2004A06)
关键词 SPARRE ANDERSEN风险模型 广义Erlang(n)分布 破产前最大盈余 Sparre Andersen risk model gerneralized Erlang(n) distribution maximum surplus before ruin
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