广西科学
廣西科學
엄서과학
GUANGXI SCIENCES
2008年
3期
269-273
,共5页
方世祖%张春梅%孙歆%赵培臣
方世祖%張春梅%孫歆%趙培臣
방세조%장춘매%손흠%조배신
复合二项模型%Markov二项%破产概率%Lundberg型指数
複閤二項模型%Markov二項%破產概率%Lundberg型指數
복합이항모형%Markov이항%파산개솔%Lundberg형지수
compound binomial model%Markov binomial%ruin probability%Lundberg exponential
将复合马尔可夫二项模型推广为保费收取过程而得到广义复合马尔可夫二项模型并研究其破产概率.给出该模型破产概率的递推公式及其Lundberg型指数的上界.
將複閤馬爾可伕二項模型推廣為保費收取過程而得到廣義複閤馬爾可伕二項模型併研究其破產概率.給齣該模型破產概率的遞推公式及其Lundberg型指數的上界.
장복합마이가부이항모형추엄위보비수취과정이득도엄의복합마이가부이항모형병연구기파산개솔.급출해모형파산개솔적체추공식급기Lundberg형지수적상계.
The compound Markov binomial model which was first proposed by Cossette et al.(2003) is extended to the case where the premium income process, based on a binomial process,is no longer a linear function and its ruin probability is investigated.Recursive formulas are provided for the computation of the ruin probabilities. The Lundberg exponential bound is derived for the ruin probability.