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一类逐段决定风险模型罚金函数的期望(英)
引用本文:邢永胜,吴荣.一类逐段决定风险模型罚金函数的期望(英)[J].应用概率统计,2005,21(4).
作者姓名:邢永胜  吴荣
摘    要:本文主要考虑了一类逐段决定的风险模型的罚金函数.利用建立的积分-微分方程,我们得出了此类风险模型罚金函数期望的一般解.

关 键 词:积分-微分方程  逐段决定风险模型  破产前余额及破产时赤字  罚金函数

The Expected Valued of a Penalty Function for a PDMP Insurance Risk Model
KING YONGSHENG,WU RONG.The Expected Valued of a Penalty Function for a PDMP Insurance Risk Model[J].Chinese Journal of Applied Probability and Statisties,2005,21(4).
Authors:KING YONGSHENG  WU RONG
Abstract:In this paper, we consider the risk process described by a piecewise deterministic Markov processes (PDMP). We mainly discuss the "penalty function" of this risk process. Using the integro-differential equation we established, we obtain the exact representation.
Keywords:Integro-differential equation  risk process  surplus before ruin and the deficit at ruin  penalty function
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