%A GAO Shan 1,2, LIU Zai-ming2* %T On a correlated discrete risk model with constant dividend barrier %0 Journal Article %D 2011 %J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) %R %P 63-68 %V 46 %N 3 %U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_823.shtml} %8 %X

A compound binomial risk model with constant dividend barrier was considered. Two types of individual claims, main claims and by-claims, were defined. By introducing an auxiliary risk model, a system of difference equations with boundary conditions for the expected present value of dividend payments due until ruin was  derived and solved. Numerical results were given for two special claim-size distributions.