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  • 易亚利,胡源艳,欧诗德.Erlang(2)风险模型的Gerber-Shiu折扣罚函数满足的更新方程[J].广西科学,2012,19(4):302-305.    [点击复制]
  • YI Ya-li,HU Yuan-yan,OU Shi-de.The Renewal Function of Erlang(2) Risk Model with Satisfied Gerber-Shiu Discounted Penalty Function[J].Guangxi Sciences,2012,19(4):302-305.   [点击复制]
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Erlang(2)风险模型的Gerber-Shiu折扣罚函数满足的更新方程
易亚利, 胡源艳, 欧诗德
0
(玉林师范学院数学与信息科学学院, 广西玉林 537000)
摘要:
通过Gerber-Shiu折扣罚函数对索赔量与索赔时间相依的Erlang(2)风险模型进行分析,并利用Dickson-Hipp算子得到Gerber-Shiu折扣罚函数满足的更新方程.
关键词:  Gerber-Shiu折扣罚函数  Dickson-Hipp算子  相依  Erlang(2)过程
DOI:
投稿时间:2012-04-07修订日期:2012-08-20
基金项目:广西教育厅科研项目(201010LX433);玉林师范学院校级青年科研项目(2011YJQN06)资助。
The Renewal Function of Erlang(2) Risk Model with Satisfied Gerber-Shiu Discounted Penalty Function
YI Ya-li, HU Yuan-yan, OU Shi-de
(School of Mathematics and Information Science, Yulin Normal University, Yulin, Guangxi 537000, China)
Abstract:
The Gerber-Shiu discounted penalty function is investigated in the risk model with Erlang(2) process for inter-claim-dependent claim sizes.The renewal function that satisfies the Gerber-Shiu discounted penalty function is obtained.
Key words:  Gerber-Shiu discounted penalty function  Diskon-Hipp operator  inter-dependent  Erlang(2) process

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