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常分红壁下相依对偶模型的G-S函数

The G-S Function of the Dependent Dual Risk Model with a Constant Dividend Barrier
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摘要 考虑了索赔时间间隔和接下来的索赔额具有相依关系的对偶型,其相依关系由FGM copula描述.在其具有常分红壁的前提下,推导出了G-S函数所满足的积分微分方程,并给出了其满足的更新方程. The dual risk model with a constant dividend barrier is considered and it's dependence structure is constructed by FGM copula.The Integro-differential equations satisfied by Gerber-Shiu expected discounted penalty function is derived.By solving it,the expression of the form of renewal equation is given.
作者 薛英 刘鹏
出处 《南开大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第5期1-10,共10页 Acta Scientiarum Naturalium Universitatis Nankaiensis
基金 国家自然科学基金(11171164) 内蒙古自治区自然科学基金(2013MS0101) 包头师范学院基金(BSYKJ-2012-21)
关键词 常分红壁 相依对偶模型 FGM COPULA Gerber-Shiu期望折现罚金函数 constant dividend barrier dual risk model with dependence Farlie-Gumbel-Morgenstern copula Gerber-Shiu expected discounted penalty function
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参考文献8

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