{"title":"Ruin Probability in Discrete Time Risk Model with Constant Interest Rate","authors":"Luo Xuan, Gao Jingli","doi":"10.1109/IMCCC.2012.101","DOIUrl":null,"url":null,"abstract":"In this paper we consider the discrete time insurance risk model with interest rate. First we prove the surplus is Markov chain. Second we use the Markov chain get series expansion and the integral equation of ruin probability and the surplus distribution at ruin moment.","PeriodicalId":394548,"journal":{"name":"2012 Second International Conference on Instrumentation, Measurement, Computer, Communication and Control","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Second International Conference on Instrumentation, Measurement, Computer, Communication and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IMCCC.2012.101","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we consider the discrete time insurance risk model with interest rate. First we prove the surplus is Markov chain. Second we use the Markov chain get series expansion and the integral equation of ruin probability and the surplus distribution at ruin moment.