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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)
引用本文:何晓霞,姚春,胡亦钧. 利率为马氏链的离散时间风险模型的破产概率(英文)[J]. 应用概率统计, 2012, 28(3): 270-276
作者姓名:何晓霞  姚春  胡亦钧
作者单位:武汉科技大学理学院;武汉大学数学与统计学院
基金项目: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)
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.

关 键 词:离散时间风险模型  破产概率  递推方程  Lundberg不等式

Ruin Probabilities for the Discrete Risk Models with Markov Chain Interest
He Xiaoxia Yao ChunCollege of Science,Wuhan University of Science and Technology,Wuhan,Hu Yijun. Ruin Probabilities for the Discrete Risk Models with Markov Chain Interest[J]. Chinese Journal of Applied Probability and Statisties, 2012, 28(3): 270-276
Authors:He Xiaoxia Yao ChunCollege of Science  Wuhan University of Science  Technology  Wuhan  Hu Yijun
Affiliation:College of Science, Wuhan University of Science and Technology, School of Mathematics and Statistics, Wuhan University
Abstract:In this paper, we consider a discretetime risk process with random interest force. With the assumptionthat the interest rate process behaves as a Markov chain, we obtainthe recursive equations and integral equations for finite andultimate ruin probabilities, and Lundberg inequalities for theultimate ruin probabilities are also provided.
Keywords:
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