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具有广义FGM相依结构的复合泊松过程的Esscher定价泛函 被引量:2

The Esscher Pricing Functional for a Compound Poisson Process with General Farlie-Gumbel-Morgenstern Dependence Structure
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摘要 本文考虑索赔额与等待时间具有广义FGM相依结构的复合泊松过程,仿照文献[5]的方法,求出了其矩母函数的显式表达式,给出了其矩母函数的n阶导数的计算方法,并最终求出了其Esscher定价泛函. In this paper we follow the same way to [ 5 ] to find the moment generating function, its nth derivative and the Esscher pricing functional for a compound Poisson process with dependent loss amounts and loss inter - arrival times having a general Farlie - Gumbel - Morgenstern dependence structure.
出处 《数学理论与应用》 2013年第3期57-62,共6页 Mathematical Theory and Applications
基金 国家自然科学基金项目(61203139)
关键词 FGM COPULA 复合泊松过程 Esscher定价泛函 FGM Copula Compound Poisson Processes The Esscher Pricing Functional
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参考文献6

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同被引文献17

  • 1邓志民.投资收益下的保费定价模型[J].南开大学学报(自然科学版),2006,39(6):95-97. 被引量:3
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  • 6Marri F,Furman E.Pricing compound Poisson processes with the Farlie-Gambel-Morgenstem dependence structure[J].Insurance:Mathematics and Economics,2012,51 (1):151-157. 被引量:1
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  • 10Bargés M,Cossette H,Loisel S,et al.On the moments of the aggregate discounted claims with dependence introduced by an FGM copula[J].ASTIN Bulletin,2011,41 (1):215-238. 被引量:1

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