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保险人投资策略与破产的关系

The Relationship Betwen Investment Strategy and Ruin Probability for Insurers
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摘要 本文主要考虑带投资收益的风险模型,在该模型下保险人可以根据盈余投资,投资的数量为时间t的函数,我们得到保险人投资策略与破产概率与t时刻所满足的积分-微分方程. In this paper,we consider a risk model with stochastic return on investments,ln this model,the insurrs can invest according to the surplus and the amount of investment is a non-negative function of t. we derive the ruin probability and the investment stragegy statify integro-differential equation.
出处 《数学理论与应用》 2006年第4期36-39,共4页 Mathematical Theory and Applications
关键词 随机指数 破产概率 积分-微分方程 martingale stochastic exponential ruin probability integro-differential equation
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参考文献5

  • 1Kam c yuenGuojingwang.Ruin probabilities for risk process with stochastic return on inverstments[].Insurance Mathematics Economics.2004 被引量:1
  • 2Paulsen J,Gjessing H.Ruin theory with stochastic economic environment.Advances[].Application Probability.1997 被引量:1
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  • 5Wang G,,Wu,R.Distribution for risk process with a stochastic return on investments[].Stochastic Processes and Their Applications.2001 被引量:1

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