RecordNumber
3097
Author
Mahmoudiy, Eisa
Crop_Body
Eisa Mahmoudiy, Hossein Zamani and RahmatSadat Meshkat
Title of Article
Poisson-Beta Exponential Distribution: Properties and Applications
Title Of Journal
مجله پژوهشهاي آماري ايران
Publication Year
2018 (1397)
Volum
15
Issue Number
1
Page
119-146
Keywords
Beta exponential distribution , mixed distributions , Poisson mixtures , truncated distributions , weighted distributions
Abstract
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.