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带息力和两步保费率的Erlang(2)风险模型

THE RESERCH ON ERLANG(2) RISK MODEL WITH INTEREST AND TWO-STEP PREMIUM RATE FORCE
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摘要 在常利率环境下,研究当索赔时间间隔为Erlang(2)分布且保费收取为两步保费的风险模型,推导出该模型Gerber-Shiu罚金折现期望函数所满足的微积分方程. the risk model with interest force and two-step premium rate is discussed in this paper. Gerber-Shiu discounted penalty function is studied and a solution is obtained to the iuntegro-differertial eqution which is in the form of an infinite series by means of integral transform.
作者 张冕
出处 《经济数学》 2008年第4期351-355,共5页 Journal of Quantitative Economics
基金 安徽省高校青年教师资助计划项目(No.2008jq1116)
关键词 Edang(2)过程 常利率 积分-微分方程 Gerber-Shiu罚金折现期望函数 Erlang(2) process, interest force, integro-differertial eqution, Gerber-Shiu discounted penalty function
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参考文献4

  • 1Asmussen,S.Ruin Probabilities[M].Singapore:World Scientific Publishing Co Pte Inc,2000.
  • 2Dickson,D.C.M.,Hipp,C.On the time to ruin for Erlang(2) risk process[J].Insurance:Mathematics and Economics,2001,29:333-334.
  • 3Cheng Y,Tang Q.Moment of surplus before ruin and deficit at ruin in the Erlang(2) risk process[J].North American Actuarial Journal,2003,7(1):1-12.
  • 4Yuen,Kam C.,Wang Guojing,Li Wai K.The Gerber-Shiu expected discounted penalty function for risk processes withinterest and a constant dividend barrier,lnsurance:Mathematics and Economics,2007,40:104-112.

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