Collective Risk Model: Bayesian Premium and Operational Risk of the New Generalized Poisson Lindley and Exponential Distributions

This paper developed collective risk model with new generalized Poisson Lindley and exponential distributions. Some properties like generating function, moments are derived. We determine the bayes premium used in actuarial science and also compute the operational risk. The results are illustrated with numerous examples and compared with other approaches proposed in the literature.