1. Department of Basic Subjects, Hu’nan University of Finance and Economics, Changsha, 410205, P. R. China 2. College of Mathematics and Computer Science, Hu’nan Normal University, Changsha, 410081, P. R. China
Abstract:
A rigorous definition of semi-Markov dependent risk model is given. This model is a generalization of the Markov dependent risk model. A criterion and necessary conditions of semi-Markov dependent risk model are obtained. The results clarify relations between elements among semi-Markov dependent risk model more clear and are applicable for Markov dependent risk model.