Credibility For Outstanding Claim Reserves In Loss Function

The reserves are widely used in insurance,banking and securities,and have different connotations in different fields.In the insurance business,the claim reserve is the largest liability item.Therefore,the assessment of reserves is an important task in the insurance business.How to accurately evaluate the reserves has become a hot issue in actuarial research.Based on credibility theory and combined with the balanced,the quadratic and the Esscher loss function,the credibility estimates of loss development factor is obtained under the three loss function,and reserves were evaluated.In the end,the reserves obtained under the three loss functions are compared and the corresponding conclusions are obtained by numerical simulation.The detailed content of this paper includes the following sections:The first chapter,we briefly introduce several classic method of estimation of reserves,reserves and its reserves and research significance,research status and research methods at home and abroad.The second chapter,introduces the classic chain model and Bayes model.The third chapter,different loss function is given,and reserve is derived under three kinds of loss function.The fourth chapter is empirical analysis,we use the data to the empirical anal-ysis by our new model,and result that our new model is more reliable than previous methods.The fifth chapter,the main result of this paper is summarized.