Ruin Probability Of The Continuous-State Compound Binomial Model

Risk theory is a hot study topic in the realm of modern actuarial science and mathematics, and ruin theory is the core of risk theory,furthermore,the ruin probability of classical ruin model is the stress in the ruin theory.According to the collecting-ways of the premium,ruin model is divided into continuous-time model and discrete-time model.The compound Poisson model is a studied deeply classical continuous-time ruin model,and the compound binomial model which is considered more deeply is an important discrete-time ruin model.At present,the classical risk model has been deeply researched and some important results have been educed,as have established astable foundation for the further development of the risk theory.Based on the works of predecessors,in this paper,we introduce a continuous-state compound binomial ruin model.We find a martingale,by which we prove the surplus process is still a compound binomial model whose premium is one money unit based on the condition given.In the end,we get the ruin probability and Lundberg bounds。This paper includes four chapters.The first chapter is introduction,in which we introduce the development of risk theory and some important results.The second chapter is preliminary results,in which we introduce simply martingale theory.In the third chapter, we study a continuous-state compound binomial ruin model,and get some important conclusion.The last chapter is conclusion...