• 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.