In this paper, we consider the survival probability for a discrete semi-Markov risk model, which assumes individual claims are influenced by a Markov chain with finite state space and there is autocorrelation among consecutive claim sizes. Our semi-Markov risk model is similar to the one studied in Reinhard and Snoussi [1, 2] without the restriction imposed on the distributions of the claims. I...

background: malaria is a major cause of morbidity and mortality in nepal. the magnitude of malaria across the country is alarming and varies with location. therefore, the present study aimed to model malaria incidence rates during 1998 to 2009 in nepal. methods: data for the study were obtained from health management information system (hmis), ministry of public health. a negative binomial mode...

In this paper; survival (non-ruin) probability after a definite time period of an insurance company is studied in a discrete time model based on nonhomogenous claim occurrences. Furthermore, distributions of the minimum and maximum levels of surplus in compound binomial risk model with nonhomogeneous claim occurrences are obtained and some of its characteristics are given.

Using backward stochastic difference equations (BSDEs), this paper studies dynamic convex risk measures for risky positions in a simple discretetime, binomial tree model. A relationship between BSDEs and dynamic convex risk measures is developed using nonlinear expectations. The time consistency of dynamic convex risk measures is discussed in the binomial tree framework. A relationship between ...