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Pakistan Journal of Statistics and Operation Research
Beta Exponentiated Gamma Distribution: Some Properties and Estimation
Author(s)
Navid Feroze
Government Post Graduate College Muzaffarabad Azad Kashmir,Pakistan.
Ibrahim Elbatal
Department of Mathematics and Statistics - College of Science Al Imam Mohammad Ibn Saud Islamic University, Saudi Arabia.
Abstract
The exponentiated gamma (EG) distribution is one of the important families of distributions in lifetime tests. In this paper, a new generalized version of this distribution which is called the beta exponentiated gamma (BEG) distribution has been introduced. The new distribution is more flexible and has some interesting properties. A comprehensive mathematical treatment of the BEG distribution has been provided. We derived the rth moment and moment generating function for this distribution. Moreover, we discussed the maximum likelihood estimation of this distribution under a simulation study.
Publication Details
Page(s)
141-154
DOI
DOI not available
Published
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 12, Issue: 1, Year: 2016
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Keywords
Moments, Maximum Likelihood Estimation, Hazard function, Beta distribution, Exponentiated gamma distribution
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