Abstract

OLUYEDE, Broderjck  and  WARAHENA-LIYANAGE, Gayan. The Gamma Odd Weibull Generalized-G Family of Distributions: Properties and Applications. Rev.Colomb.Estad. [online]. 2023, vol.46, n.1, pp.1-44.  Epub Jan 18, 2023. ISSN 0120-1751.  https://doi.org/10.15446/rce.v46nl.100483.

A new generalized family of models called the Gamma Odd Weibull Generalized-G (GOWG-G) family of distributions is proposed and studied. Properties of the new family of distributions including moments, conditional moments, distribution of the order statistics and Rényi entropy are derived. Maximum likelihood estimation technique is used to estimate the model parameters. Four special cases of the GOWG-G family of distributions are considered. A simulation study was carried out to examine the accuracy of the Maximum Likelihood Estimates (MLE) of the parameters.

Keywords : Generalized-G distribution; Generalized transformation; Generalized distribution; Maximum likelihood estimation.

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