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利率为马氏链的离散时间风险模型的破产概率(英文) 被引量:5

Ruin Probabilities for the Discrete Risk Models with Markov Chain Interest
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摘要 本文考虑了带随机利率的离散时间风险模型.在假设利率为马氏链条件下,得到了有限时间和最终破产概率所满足的递推积分方程,以及最终破产概率的Lundberg不等式. In this paper, we consider a discrete time risk assumption that the interest rate process behaves as tions and integral equations for finite and ultimate for the ultimate ruin probabilities are also provided process with random interest force. With the a Markov chain, we obtain the recursive equa- ruin probabilities, and Lundberg inequalities
出处 《应用概率统计》 CSCD 北大核心 2012年第3期270-276,共7页 Chinese Journal of Applied Probability and Statistics
基金 Supported by the National Natural Science Foundation of China(10671149) the Foundation of the Hubei Provincial Department of Education(B20091107) Hubei Province Key Laboratory of Systems Science in Metallurgical Process(Wuhan University of Science and Technology)(C201006)
关键词 离散时间风险模型 破产概率 递推方程 Lundberg不等式. Discrete-time risk model, ruin probability, recursive equation, Lundberg in-equalities.
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参考文献5

  • 1Yang, H., Non-exponential bounds for ruin probability with interest effect included, Scandinavian Actuarial Journal, 1(1999), 66-79.
  • 2Cai, J., Ruin probabilities with dependent rate of interest, Journal of Applied Probability, 39(2002), 312-323.
  • 3Yang, H. and Zhang, L., Ruin problems for a discrete time risk model with random interest rate, Mathematical Methods of Operations Research, 63(2006), 287-299.
  • 4Wei, X. and Hu, Y., Ruin probabilities for discrete time risk models with stochastic rates of interest, Statistics & Probability Letters, 78(2008), 707-715.
  • 5Diasparra, M.A. and Romera, R., Bounds for the ruin probability of a discrete-time risk process, Journal of Applied Probability, 46(2009), 99-112.

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