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常利率下自回归索赔模型的破产概率的界 被引量:1

Bounds for Ruin Probability in an Autoregressive Claim Model with Constant Interest Rate
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摘要 研究常利率下的一个广义连续时间更新风险模型的(最终)破产概率,其中自回归过程模拟相依的索赔过程.通过更新的递推方法,得到了此模型破产概率的指数上、下界. In this article, the ruin probability is examined in a continuous-time renewal risk model with constant interest rate, in which an autoregressive process is used to model the claim process. By the renewal recursive approach, exponential bounds are obtained for the ruin probability.
出处 《数学的实践与认识》 CSCD 北大核心 2011年第20期17-22,共6页 Mathematics in Practice and Theory
基金 国家自然科学基金(50775026) 国家自然科学基金(10871034) 中央高校基本科研业务费专项资金(ZYGX2010J111)
关键词 破产概率 更新风险模型 自回归模型 指数界 Ruin probability renewal risk model autoregressive model exponential bound
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参考文献7

  • 1Asmussen S. Ruin Probabilities[M]. World Scientific, Singapore, 2000.
  • 2Yang H. Non-exponential bounds for ruin probability with interest effect included[J]. Scand Actuar J, 1999(1): 66-79.
  • 3Cai J. Ruin probabilities with dependent rates of interest[J]. J Appl Prob, 2002, 39: 312-323.
  • 4Cai J, Dickson D C M. Ruin probabilities with a Markov chain interest model[J]. Insurance Math Econom, 2004, 35: 513-525.
  • 5Yang H, Zhang L H. Martingale method for ruin probability in an autoregressive model with constant interest rate, Probability in the Engineering and Informational Sciences[J]. 2003, 17: 183-198.
  • 6Xu L, Wang R M. Upper bounds for ruin probabilities in an autoregressive risk model with a markov chain interest rate. Journal of industrial and management optimization[J]. 2006, 2: 165-175.
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