The gamma-normal distribution: Properties and applications

Ayman Alzaatreh, Felix Famoye, Carl Lee

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)67-80
Number of pages14
JournalComputational Statistics and Data Analysis
Volume69
DOIs
Publication statusPublished - 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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