A New Method for Evaulation of Bivariate Compound Poisson Distribution for Aggregate Claims
In this paper, a bivariate compound Poisson model is proposed for calculating the aggregate claims distribution in a discrete framework and the probabilistic characteristics of this model, such as the joint probability function, joint probability generating function, correlation coefficient and covariance are derived. Then, an algorithm is prepared in Oracle database to obtain the probabilities quickly. By means of prepared algorithm some numerical examples are also given to illustrate the usage of the bivariate compound Poisson model.
Key Words: Bivariate compound Poisson distribution, correlation coefficient, joint probability generating function, insurance, claim severity.