期刊文献+

带干扰的Erlang(2)风险模型罚金函数的期望(英文)

The Expected Penalty Function in the Erlang(2)Risk Model Perturbed by Diffusion
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摘要 考虑了带干扰的 Erlang(2)风险模型罚金函数的期望,利用建立的积分一微分方程,得出了期望的明确表达式. The moments of the surplus before ruin and the deficit at ruin caused by a claim when the risk model is the Erlang(2) risk process perturbed by diffusion is considered. The explicit expression for the moments is obtained by using integro-differential equations.
出处 《南开大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第4期74-77,共4页 Acta Scientiarum Naturalium Universitatis Nankaiensis
基金 Supported by NSFC(10571092 10571132)
关键词 ERLANG(2)风险模型 罚金函数 更新方程 Erlang(2)risk model ruin probabilities renewal equation
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参考文献5

  • 1Cheng Y,Tang Q H.Moments of the surplus before ruin and the deficit at ruin in the Erlang(2) risk process[J].North Amerivan Actuarial Journal,2003,7(1):1-12.
  • 2Dickson D C M,Hipp C.On the time to ruin for Erlang (2) risk provess[J].Insurance:Mathematics and Ecnomics,2001,29:333-344.
  • 3Dufresne F,Gerber H U.Risk theory for the compound poisson process that is perturbed by diffusion[J].Insurance:Mathematics and Ecnornics,1991,10:51-59.
  • 4Tsai C C,Willmot G E.A generalized defective renewal equation for the surplus process perturbed by diffusion[J].Insurance:Mathematics and Ecnomics,2002,30:51-66.
  • 5Wang G,Wu R.Some distributions for classical risk process that is perturbed by diffusion[J].Insurance:Mathematics and Ecnomics,2000,26:15-24.

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