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相关随机利率下的双二项模型的破产概率 被引量:1

Ruin Probability in the Double Binomial Risk Model with Dependent Random Interest Rates
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摘要 研究带有相关随机利率的双二项风险模型,得到了破产概率的积分表达式,并利用鞅分析的方法得到了破产概率的经典Lundberg上界,另外给出了一个破产概率的比经典Lundberg上界更精确的上界. This paper explore the double binomial risk model with dependent ran- dom interest rates,and study the problems of ruin probability with emphasis,an integral expression of ruin probability is obtained as well as classical Lundberg upper bound for ruin probabilty.In additional,get another preeiser upper bound than classical Lundberg upper bound.
出处 《应用数学与计算数学学报》 2007年第2期121-128,共8页 Communication on Applied Mathematics and Computation
基金 国家自然科学基金(No.60572126)资助
关键词 最终破产概率 线性自回归 LUNDBERG不等式 the probability of ultimate ruin liner autoregressive Lundberg inequation martingale
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参考文献5

  • 1[1]Cai J.Ruin probability with dependent rates of interest[J].Appl.Prob.,2002,39:312-323.
  • 2[2]Cai J.Discrete time risk models under rates of interest[J].Prob.Eng.Inf.Sci.,2002,16:309-324.
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  • 5赵飞,王汉兴.双二项风险模型的破产概率[J].应用数学与计算数学学报,2004,18(2):73-78. 被引量:16

二级参考文献4

  • 1Willmot G E. Ruin probability in the compound binomial process. Insurance: Mathematics and Economics, 1993, 12: 133-142.
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  • 4龚日朝,杨向群.复合二项风险模型的破产概率[J].经济数学,2001,18(2):38-42. 被引量:50

共引文献15

同被引文献7

  • 1赵飞,王汉兴.双二项风险模型的破产概率[J].应用数学与计算数学学报,2004,18(2):73-78. 被引量:16
  • 2SUNDT B,TEUGELS J L. Ruin Estimates Under Interest Force [J]. Insurance: Mathematics and Economics, 1995,16: 7- 22.
  • 3SUNDT B,TEUGELS J L. The Adjustment Function in Ruin Estimates Under Interest force [J]. Insurance:Mathematics and Economics, 1997,19 : 85- 94.
  • 4CAI J. Discrete Time Risk Models Under Rates of Interest [J]. Prob Eng Inf Sci ,2002,16 : 309-324.
  • 5CAI J. Ruin Probability with Dependent Rates of Interest [J]. Appl Prob, 2002,39:312-323.
  • 6CAI J. Ruin Probabilities with a Markov Chain Interest Model [J]. Insurance: Mathematics and Economics, 2004,19: 85- 94.
  • 7WU Rong,WANG Guo-jing, ZHANG Chun sheng. On a Joint Distribution for the Risk Process with Constant Interest force[J]. Insurance : Mathematics and Economics, 2005,36 : 365-374.

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