Formulas for Rényi information and related measures for univariate distributions
Information Sciences: an International Journal
The β-Birnbaum-Saunders distribution: An improved distribution for fatigue life modeling
Computational Statistics & Data Analysis
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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.