The gamma-normal distribution: Properties and applications

Ayman Alzaatreh; Felix Famoye; Carl Lee

doi:10.1016/j.csda.2013.07.035

The gamma-normal distribution: Properties and applications

Ayman Alzaatreh, Felix Famoye, Carl Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

45 Citations (Scopus)

Abstract

In this paper, some properties of gamma-X family are discussed and a member of the family, the gamma-normal distribution, is studied in detail. The limiting behaviors, moments, mean deviations, dispersion, and Shannon entropy for the gamma-normal distribution are provided. Bounds for the non-central moments are obtained. The method of maximum likelihood estimation is proposed for estimating the parameters of the gamma-normal distribution. Two real data sets are used to illustrate the applications of the gamma-normal distribution.

Original language	English
Pages (from-to)	67-80
Number of pages	14
Journal	Computational Statistics and Data Analysis
Volume	69
DOIs	https://doi.org/10.1016/j.csda.2013.07.035
Publication status	Published - Jan 1 2014

Keywords

Estimation
Hazard function
Moments
T-X distributions

ASJC Scopus subject areas

Statistics and Probability
Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

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KW - Moments

KW - T-X distributions

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