期刊文献+

随机投保费下多险种破产模型的研究 被引量:9

The study of ruin model for multitype-insurance with stochastic premium
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摘要 用单一险种风险模型来描述保险公司的经营存在的局限性,建立了考虑运行费用的带有干扰项及随机保费的多险种破产模型,经推理论证得到了5个定理,给出了最终破产概率及一个上界,拓展了经典破产模型的应用范围. Because of the limitation of applying the single-type insurance model to show the operating of insurance agent,The paper consider a multiply-insurance ruin model whose operation cost has a perturbed term and stochastic premium.By arguments,the paper obtain five theorems,give a probability of the ruin and its upper bound and extend the scope of application of the ruin model.
出处 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2010年第1期18-21,共4页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家"973"科技发展计划项目(2007cb206904)
关键词 破产概率 破产模型 调节系数 矩母函数 ruin probability ruin model adjustment coefficient moment generating function
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  • 1马秋红,单国栋,肖玉山.序限制下同变预测区间的改进[J].东北师大学报(自然科学版),2006,38(4):31-35. 被引量:2
  • 2吴岚,杨静平,胡德琨.保险与精算[J].北京大学学报(自然科学版),1997,33(1):123-126. 被引量:11
  • 3Gerber H U 严颖等(译).数学风险论导引[M].北京:世界图书出版发行公司,1997..
  • 4ROBERT C P, HWANG J T G. Maximum likelihood estimation under order restrictions by the prior feedback method[J]. Journal of the American Statistical Association, 1996 ,91 : 167-172.
  • 5LIU C H. Estimation of discrete distribution with a class of simplex cvnstraints[J]. Journal of the American Statistical Association, 2000,95:109-120.
  • 6TAN M,TIAN G L,FANG H B. Estimating restricted normal means using the EM-type algorithms and IBF sampling[M]. New Jersey: World Scientific, Publishing, 2003 : 53-73.
  • 7MENG X L, RUBIN D B. Maximum likelihood estimation via the ECM algorithm: a general framework [J ]. Biometrika, 1993, 80: 267-278.
  • 8[2]Héléne Cossette,Michel Denuit,Etienne Marleau.Impact of dependence among multiple claims[J].Insurance:Mathematics and Economics,2000,26:213-222.
  • 9[3]Sundt B,Jozef L Teugels.Ruin estimate under interest force[J].Insurance:Mathematics and Economics,1995,16:7-22.
  • 10高惠璇.统计计算[M].北京:北京大学出版社,2003..

共引文献171

同被引文献53

  • 1ChengShixue,WuBiao.THE SURVIVAL PROBABILITY IN FINITE TIME PERIOD IN FULLY DISCRETE RISK MODEL[J].Applied Mathematics(A Journal of Chinese Universities),1999,14(1):67-74. 被引量:15
  • 2张波,代金.经济环境下引入投资的古典风险模型的破产概率[J].经济数学,2005,22(2):111-117. 被引量:2
  • 3RossSM 何声武 谢盛荣 程依明 等译.随机过程[M].北京:中国统计出版社,1997.114-206.
  • 4李文学.某些随机延迟微分方程与随机Volterra积分方程的稳定性[D]哈尔滨:.哈尔滨工业大学,2009.
  • 5WANG Z. Existence and uniqueness of solutions to stochastic Voherra equations with singular kernels and non-lipsehitz coeffieients[J]. Statistics and Probability Letters, 2008,87 : 1062-1071.
  • 6MAO X. Stochastic differential equations and their appications[M]. Chichester: Horwood Publishing, 1997:59-63.
  • 7Bernt K. Stochastic differential equations[M]. New York : Springer Verlag, 2005 : 8-45.
  • 8Browne S.Optimal Investment Policies for a Firm with a Random Risk Process:Exponential Utility and Minimizing the Probability of Ru-in[J].Math.Oper.Res.,1995,20(4):937-958.
  • 9Paulsen J,Gjessing H K.Ruin Theory with Stochastic Return on Investments[J].Advances in Applied Probability,1997,29:965-985.
  • 10Ma Jin,Sun Xiao-dong.Ruin Probabilities for Insurance Models Involving Investments[J].Scandinavian Acturial Journal,2003,3:217-237.

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