The gamma-normal distribution: Properties and applications

Ayman Alzaatreh, Felix Famoye and Carl Lee

Computational Statistics & Data Analysis, 2014, vol. 69, issue C, 67-80

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.

Keywords: T–X distributions; Hazard function; Moments; Estimation (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:69:y:2014:i:c:p:67-80

DOI: 10.1016/j.csda.2013.07.035

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