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一类带扰动和附索赔风险模型的破产概率 被引量:1

ON THE RUIN PROBABITITY FOR A DELAYED-CLAIMS RISK MODEL PERTURBED BY DIFFUSION
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摘要 本文研究带扰动和附索赔的风险模型.利用鞅方法,得到了破产概率的指数上界及精确表达式,推广了不带扰动的风险模型相应的结论. In this paper, we discuss a delayed-claims risk model perturbed by diffusion. We give both the exponential upper bound and explicit expression for the ultimate ruin probability by martingale approach. The results obtained generalize the corresponding ones for the delayed daims risk model without diffusion.
出处 《数学杂志》 CSCD 北大核心 2007年第4期451-454,共4页 Journal of Mathematics
基金 国家教育部基金资助项目(NCET-04-0667)
关键词 扰动 调节系数 破产时 破产概率 martingale perturbed ruin time adjustment coefficient ruin probability
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参考文献3

  • 1Yuen K.C.,Guo Junyi,Ng K.W..On ultimate ruin in a delayed-claims risk model[J].J.Appl.Prob.,2005,42:163-174.
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  • 3Yuen K.C.,Guo Junyi.Ruin probabilities in the binomial model with time-correlated aggregate claims[J].Insurance Math.Econom.,2001,29:47-57.

同被引文献8

  • 1YueN K C, Guo J, NG K W. On ultimate ruin in al delayed-claims model[J]. Journal of Applied Probability, 2005, 42(1): 163-174.
  • 2MAocl C. Large deviations for risk model in which each main claim induces a delayed claim[J]. Stochas- tics: An International Journal of Probability and Stochastics Processes, 2006, 78(2): 79-89.
  • 3GAO Fu-qing, YAN Jun. Sample path large and mod- erate deviations for risk model with delayed claims [J]. Insurance: Mathematics and Economics, 2009, 45(1): 74-80.
  • 4CLINE D B He SAMORODNITSKY G. Subexponen- tiality of the product of independent random vari- ables[J]. Stochastic Processes Apple 1994e 49(1): 75-98.
  • 5CLINE D B H. Convolution tails, product tails and domains of attraction[J]. Probab, Theory Re- lat Fields, 1986, 72(4): 529-557.
  • 6TANG Qi-he, TSITSIASHVILI G. Precise estimate for the ruin probability in finite horizon in a discrete- time model with heavy-tailed insurance and finan- cial risks[J]. Stochastic Process and Their Applica~ tions, 2003, 108(2): 299-325.
  • 7HAO Xue-miao, TANG Qi-he. A uniform asymptotic estimate for discounted aggregate claims with subex- ponential tails[J]. Insurance Math Econom, 2008, 43(1): 116-120.
  • 8肖鸿民,李红.重尾赔付下带常数利息力的延迟索赔风险模型的破产概率[J].西北师范大学学报(自然科学版),2011,47(6):17-19. 被引量:5

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