Abstract In this paper we consider the risk process that is described by a piecewise deterministic Markov processes (PDMP). We first present the construction of the risk process and then discuss some ruin problems for...Abstract In this paper we consider the risk process that is described by a piecewise deterministic Markov processes (PDMP). We first present the construction of the risk process and then discuss some ruin problems for this new kind of risk model.展开更多
In this paper we consider the risk process described by a piecewise deterministic Markov processes (PDMP). We mainly discuss the distribution of the deficit at ruin for the risk process. We derive the integrodi differ...In this paper we consider the risk process described by a piecewise deterministic Markov processes (PDMP). We mainly discuss the distribution of the deficit at ruin for the risk process. We derive the integrodi differential equation satisfied by this distribution. We obtain the explicit expressions for it for certain choices of the claim amount distribution.展开更多
基金Supported by the National Natural Sciences Foundation of China (No.19971047)Doctoral Foundation of Suzhou University.
文摘Abstract In this paper we consider the risk process that is described by a piecewise deterministic Markov processes (PDMP). We first present the construction of the risk process and then discuss some ruin problems for this new kind of risk model.
基金the National Natural Science Foundation of China (Grant No. 10271087)National Science Foundation of Jiangsu education Ministry (Grant No. 02KJB110002).the National Natural Science Foundation of China (Grant No. 10271062)the Research Fund for th
文摘In this paper we consider the risk process described by a piecewise deterministic Markov processes (PDMP). We mainly discuss the distribution of the deficit at ruin for the risk process. We derive the integrodi differential equation satisfied by this distribution. We obtain the explicit expressions for it for certain choices of the claim amount distribution.
