ESTIMATION METHODS FOR THE WEIGHTED POISSON DISTRIBUTION

In this paper, an underdispersed weighted Poisson distribution is revisited and its statistical and probabilistic properties are introduced and explored. We describe four parametric estimation methods for estimating unknown parameters of the model. Parameter estimation can be used to guide the selection of the best estimation method for the model parameters. This would be very important for reliability engineers and applied statisticians. Numerical simulation experiments are carried out to assess the performance of the estimators obtained. An application is made with real data in order to validate the best method via a Chi-square test of fit.