应用概率统计
應用概率統計
응용개솔통계
CHINESE JOURNAL OF APPLIED PROBABILITY AND STATISTICS
2012年
3期
270-276
,共7页
离散时间风险模型%破产概率%递推方程%Lundberg不等式
離散時間風險模型%破產概率%遞推方程%Lundberg不等式
리산시간풍험모형%파산개솔%체추방정%Lundberg불등식
Discrete-time risk model%ruin probability%recursive equation%Lundberg inequalities
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.
本文攷慮瞭帶隨機利率的離散時間風險模型.在假設利率為馬氏鏈條件下,得到瞭有限時間和最終破產概率所滿足的遞推積分方程,以及最終破產概率的Lundberg不等式.
본문고필료대수궤리솔적리산시간풍험모형.재가설리솔위마씨련조건하,득도료유한시간화최종파산개솔소만족적체추적분방정,이급최종파산개솔적Lundberg불등식.
In this paper,we consider a discrete time risk process with random interest force.With the assumption that the interest rate process behaves as a Markov chain,we obtain the recursive equations and integral equations for finite and ultimate ruin probabilities,and Lundberg inequalities for the ultimate ruin probabilities are also provided.