The Ruin Probability Of Continuous Time Multi-risk Model

Actuarial Science, which can evaluate the insurance practice, assess the Economic security programme, the level of debt and revenue and expenditure of financial in the future, is the essence and soul of insurance industry. Risk theory, the research hotspot of actuarial Science and mathematics, mainly study on the ruin probability, ruin time, and adjustment coefficient in insurance practice. Ruin theory is the core of risk theory, and plays an important role in the stability analyses of the risk management process, and predicts the possibility of operators will go bankrupt in limited time.It has been more than 100 years history for ruin probability research of the insurance company, there are also lots of corresponding results. However, with the continued progress of the society, the business scale of the insurance company is expanding, the original researches are not comprehensive and have certain limitations. Therefore, on the basic of the existing results of the bankruptcy probability, the risk model of the generalized homogeneous compound poisson process and the nature of claim process has been researched in this paper. Then, the general expression for the ruin probability and the upper bound of Lundberg have been obtained.