J4 ›› 2011, Vol. 46 ›› Issue (3): 63-68.

• Articles • Previous Articles     Next Articles

On a correlated discrete risk model with constant dividend barrier

GAO Shan 1,2, LIU Zai-ming2*   

  1. 1. School of Mathematics and Computational Science, Fuyang Normal College, Fuyang 236041, Anhui, China;
    2. School of Mathematical Science and Computing Technology, Central South University, Changsha 410075, Hunan, China
  • Received:2010-06-27 Published:2011-04-21


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.

Key words:  risk model; main claim; by-claim; dividend

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