A Generalized Insurance Risk Model Of Multiple Claim And Its Application

The classic insurance risk model and its expanded ones offer many mathematical models for describing single insurance risk management process. With the development of business scale of the insurance company, it is unfeasible for a company to undertake the single insurance risk management model.In this paper, the author presents a new model in which the claim access is the bankruptcy probability of the multiple insurance risk management model. In this new model, the claim access process is the integration of the compound Poisson process and compound binary process. The martingale theory, then, is adopted to discuss the maximum limit of final bankruptcy probability and time-limited bankruptcy probability. In doing so, the concrete expression of the final bankruptcy probability is reached. Later, this new model is applied to solve life insurance questions. The features of this new model are researched under the condition of "simulation hypothesis" in order to develop and improve the life insurance with more efficiency.In the last chapter, the random interferences are added to the new model so as to study the final and time-limited bankruptcy models.