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具有时间相依索赔的破产概率(英文) 被引量:6

RUIN PROBABILITIES FOR TIME-CORRELATED CLAIMS
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摘要 研究一类风险过程的破产概率 ,其中一类索赔可产生另一类索赔且索赔时间可延迟 .得到了破产概率的上下限 ,并给出了索赔为指数分布的情形下破产概率的解析表达式 . Ruin probalility of a kind of risk process is studied in this paper. This risk process is an extension of classical risk model in which the by-claim and claim delay is considered. Upper and lower bound for the ruin probabilities are given and a closed form solution is obtained when the claim size is exponentially distributed.
机构地区 南开大学数学系
出处 《南开大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第1期28-32,共5页 Acta Scientiarum Naturalium Universitatis Nankaiensis
基金 Supported by NNSF of China(1 0 2 71 0 62 )
关键词 破产概率 副索赔 复合波松过程 时间相依索赔 风险过程 保险理论 ruin probability by-claim compound Poisson model
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参考文献8

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同被引文献59

  • 1张未未,赵选民,李艳玲.两类相关索赔模型下破产概率的若干结果[J].系统工程理论与实践,2005,25(1):43-48. 被引量:8
  • 2毛泽春,刘锦萼.索赔次数为复合Poisson-Geometric过程的风险模型及破产概率[J].应用数学学报,2005,28(3):419-428. 被引量:124
  • 3陈昱,苏淳.有利息力情形下的有限时间破产概率[J].中国科学技术大学学报,2006,36(9):909-916. 被引量:7
  • 4杜春娟,刘再明,宋华.一类索赔相关风险模型破产概率的研究[J].数学理论与应用,2007,27(2):56-59. 被引量:5
  • 5李大潜.风险理论[M].上海:上海科学技术出版社,1995.
  • 6Yuen Kam Chuen, Guo Junyi. Ruin probabilities for time-correlated claims in the compound binomial model[ J ]. Insurance: Mathematics and Economics, 2001, 9 : 47-57.
  • 7Yuen Kam Chuen, Guo Junyi, Wu Xueyuan. On a correlated aggregate claims model with Poisson and Erlang risk processes [ J]. Insurance : Mathematics and Economics, 2002, 31 : 205-214.
  • 8XIAO Yuntao, GUO Junyi. The compound binomial risk model with time-correlated claims[ J ]. Insurance: Mathematics and Economics, 2007, 41: 124-133.
  • 9LI Shuanming. The moments of the present value of total dividends under stochastic interest rates [J ]. Australian Actuarial Journal, 2008, 14 (2) : 175-192.
  • 10WU Xueyuan, LI Shuanming. On a discrete time risk model with delayed claims and a constant dividend barrier [ EB/OL ]. [ 2010-03-05 ]. http ://repository. unimelb, edu. art/10187/579.

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