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齐次Markov’s更新过程风险模型破产概率的上界

On the Upper Bound of Ruin Probability of Risk Model in the Homogeneous Markov's Renewal Process
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摘要 主要研究齐次Markov’s风险模型的破产概率.利用鞅方法,在Wn与Xn=i,Xn+1=j都有关的条件下研究Markov’s更新过程风险模型破产概率,得到破产概率的一个上界. This study focuses on the ruin probability in homogeneous Markov' s risk model. By means of martingale method, when Wn is related to both Xn = i and Xn + 1 =j, the ruin probabili-ty of risk model in the homogeneous Markov' s renewal process is studied. An upper bound of the ruin probability is obtained.
作者 程涛 李俊海
出处 《西安文理学院学报(自然科学版)》 2013年第1期13-16,共4页 Journal of Xi’an University(Natural Science Edition)
基金 河南省教育厅自然科学研究计划项目(2010B630009)
关键词 破产概率 Markov’s风险模型 鞅方法 上界 ruin probability Markov' s risk model martingale method upper bound
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参考文献3

  • 1JANSSEN J, REINHARD J. On a class of semi - markov risk models obtained as classical risk in a markovian enviroment [ J ]. ASTIN Bulletin, 1985,15 (2) : 123 - 134.
  • 2ALBERCHER H, BOXMA J. On the discounted penalty function in a Markov - dependent risk model Insurance[ J]. Math- ematics and Economics ,2005,37 (3) : 650 - 672.
  • 3CLAUDIO MACCI. Large deviations for compound Markov renewal processes with dependent jump sizes and jump waiting times[J]. Bull. Belg. Math. Soc. Simon Stevin,2007,14(2) : 213-228.

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