New Mixture of Two Beta Exponential Distributions and Income Distribution

Authors

Mahmoud Riad Mahmoud, Faculty of Graduate Studies for Statistical Research, Cairo University, Cairo, EgyptFollow
Nesma Mamdouh Amer, Faculty of Graduate Studies for Statistical Research, Cairo University, Cairo, EgyptFollow

Abstract

Due to its nice mathematical properties and its usefulness for modeling failure time data, the beta exponentiated distribution is utilized to construct a mixture distribution that would be useful in a variety of applications. Describing income distributions is one of these applications. For this purpose a mixture of the beta exponential and inverted beta exponential distributions is constructed and studied. Approximate formulas for the expected value of the mixture are obtained. The model parameters are estimated using maximum likelihood and applied to real data as well as simulated data.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/110203

Recommended Citation

Riad Mahmoud, Mahmoud and Mamdouh Amer, Nesma (2022) "New Mixture of Two Beta Exponential Distributions and Income Distribution," Journal of Statistics Applications & Probability: Vol. 11: Iss. 2, Article 3.
DOI: http://dx.doi.org/10.18576/jsap/110203
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol11/iss2/3