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一类索赔相关风险模型的破产问题 被引量:4

RUIN PROBLEM FOR A CORRELATED AGGREGATE CLAIMS MODEL
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摘要 考虑一类索赔相关风险模型的破产问题 。 The authors study a correlated aggregate claims model with Poisson and Erlang processes. They prove that the expectation of the discounted penalty satisfies a higher-order integro-differential equation.
作者 董华 赵翔华
出处 《曲阜师范大学学报(自然科学版)》 CAS 2004年第4期6-10,共5页 Journal of Qufu Normal University(Natural Science)
基金 国家自然科学基金资助项目 ( 1980 10 2 0 )
关键词 复合POISSON过程 Erlang过程 索赔相关 compound Poisson process Erlang process correlated aggregate claims
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参考文献9

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同被引文献15

  • 1赵翔华,尹传存.一类Sparre Andersen模型的破产问题(英文)[J].曲阜师范大学学报(自然科学版),2005,31(2):9-12. 被引量:3
  • 2赵晓芹,王国宝,刘再明.一类索赔到达计数过程相依的二元风险模型[J].数学的实践与认识,2006,36(2):42-45. 被引量:14
  • 3Albrecher H, Boxma O J. A ruin model with dependence between claim sizes and claim intervals [J]. Insurance: Mathematics and Economics, 2004,35: 245-254. 被引量:1
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  • 5Ahn S, Badescu A L. On the analysis of the Gerber-Shiu discounted penalty function for risk processes with Markovian arrivals [ J ]. Insurance : Mathematics and Economi-cs, 2007, 41 (2) :234-249. 被引量:1
  • 6Li S, Garrido J. On a class of renewal risk models with a constant dividend barrier[ J ]. Insurance: Mathematics and Economics, 2004,35 : 691-701. 被引量:1
  • 7Lu Y, Li S. On the probability of ruin in a Markov-modulated risk model[ J ]. Insurance: Mathematics and Economics, 2005, 37 : 522-532. 被引量:1
  • 8Lu Y. On the severity of ruin in a Markov-modulated risk model[J]. Scandinavian Actuarial Journal, 2006, 期号:183-202. 被引量:1
  • 9Roger J A L, Marc J G, Tom Hoedemakers. Some asymptotic results for sums of dependent random variables, with actuarial apolications[J]. Insurance: Mathematics and Economics, 2005, 37 : 154-172. 被引量:1
  • 10Zhang X. On the ruin problem in a Markov-modulated risk model[ J ]. Methodology and Computing in Applied Probability, 2008, 10 : 225-238. 被引量:1

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