3097

Eisa Mahmoudiy, Hossein Zamani and RahmatSadat Meshkat

مجله پژوهشهاي آماري ايران

2018 (1397)

15

1

119-146

Beta exponential distribution , mixed distributions , Poisson mixtures , truncated distributions , weighted distributions

A new generalized version of the mixed Poisson distribution, called the Poisson-beta exponential (PBE) distribution, is obtained by mixing the Poisson and the beta exponential (BE) distributions. Estimation of the parameters, using the method of moments and maximum likelihood estimators, is discussed. We show the consistency of the new model parameters using simulation study. Examples are given for fitting the PBE distribution to data, and the fit model is compared with that obtained using other distributions.