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关于古典风险模型的一个联合分布 被引量:10

THE JOINT DISTRIBUTION FOR THE CLASSICAL RISK MODEL
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摘要 本文主要讨论古典风险模型破产瞬间前的余额,破产时的赤字;破产前的最大余额,最后一次破产前的最大余额等的联合分布. In the classical risk model we allow the surplus process to continue if the surplus falls below zero. In this paper, we conside the joint distribution of the surplus immediately before ruin, the deficit at ruin, the extreme before ruin and the extreme during the total duration of negative surplus.
出处 《应用数学学报》 CSCD 北大核心 2002年第3期554-560,共7页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(19971047号)资助项目
关键词 古典风险模型 余额过程 POISSON过程 破产概率 强马尔可夫性 保险 The classical risk model, surplus processes, poisson process, ruin probability, strong Markov property
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参考文献6

  • 1[1]Grandell J. Aspects of Risk Theory. New York: Springer-Verlag, 1991
  • 2[2]Dickson D M. On the Distribution of the Surplus Prior to Ruin. Insurance: Mathematics and Economics, 1992, 11:191-207
  • 3[3]Gerber H U, Shiu E S W. The Jont Distribution of the Time of Ruin, the Surplus Immediately before Ruin, and the Deficit at Ruin. Insurance: Mathematics and Economics, 1997, 21:129-137
  • 4[4]Zhang C S, Wu R. On the Distribution of the Surplus of the D-E Model Prior to and at Ruin. Insurance: Mathematics and Economics, 1999, 24:309-321
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同被引文献43

  • 1刘国欣,袁莉萍.盈余过程的马氏性与索赔到达间隔分布为离散型的连续时间风险模型[J].应用数学学报,2006,29(3):518-526. 被引量:2
  • 2Grandell J. A spects of Risk Theory[M]. New York NC: Spring-Verlag, 1991.
  • 3汉斯U盖伯.数学风险论导引[M].成世学,严颖,译.北京:世界图书出版公司,1997.
  • 4Jean-Marie R.On a class of semi-Markov risk models obtained as classical risk models in a Markovian environment[J].ASTIN Bulletin,1984,14:23-43.
  • 5Asmussen S,Frey A,Rolski T,et al.Does Markov-modulation increase the risk?[J].ASTIN Bulletin,1995,25(1):49-66.
  • 6Bauerle N.Some results about the expected ruin time in Markov-modulated risk models[J].Insurance:Mathematics and Economics,1996,18:119-127.
  • 7Snoussi M.The severity of ruin in Markov-modulated risk models[A].Proceedings of the 2-(nd) International Symposium on Semi-Markov Models:Theory and Applications[C].Universitedé Technologie de Compiègne,1998.
  • 8Asmussen S.Ruin Probabilities[M].Singapore:World Scientific,2001.
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  • 10[3]Cai J.Ruin probabilities with dependent rates of interest[J].J Appl.Prob,2002,39:312-323.

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