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对偶风险模型最优分红值的离散估计方法

Discrete approximation of the optimal dividend barrier in the dual risk model
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摘要 在累计收入过程为复合泊松过程的对偶风险模型中,考虑了在障碍分红策略下的最优分红值的计算问题。首先应用Laplace变换得出最优分红值的精确解,当精确解无法得到时,应用离散的对偶风险模型来估计最优分红值。最后给出两个数值的例子加以说明,并对计算结果做出评价。 The optimal dividend barrier of the dual risk model under a barrier dividend strategy is considered in this pa- per. First the exact solution of the optimal dividend barrier is presented by Laplace transform. When analytic results are unavailable, the discrete time dual risk model can be used to provide approximations for the optimal dividend barrier. For illustration, the approximate values of optimal dividends are numerically compared in two numerical examples.
作者 徐怀
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2012年第5期115-121,共7页 Journal of Shandong University(Natural Science)
基金 安徽省高校青年教师资助项目(2007gq1016)
关键词 对偶风险模型 离散风险模型 最优分红 LAPLACE变换 离散估计 dual risk model discrete risk model optimal dividend barrier Laplace transform discrete approximation
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参考文献20

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