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October 2020 A New Gamma Generalized Lindley-Log- logistic Distribution with Applications
Broderick Olusegun OLUYEDE, Thatayaone MOAKOFI, Boikanyo MAKUBATE
Afr. Stat. 15(4): 2451-2479 (October 2020). DOI: 10.16929/as/2020.2451.168


A new distribution called the gamma exponentiated Lindley Log-logistic (GELLLoG) distribution is developed. Some properties of the new distribution including hazard function, quantile function, moments, conditional moments, mean and median deviations, Bonferroni and Lorenz curves, distribution of the order statistics and Réenyi entropy are derived. Maximum likelihood estimation technique is used to estimate the model parameters. We conduct a simulation study to examine the bias and mean square error of the maximum likelihood estimators. Finally, applications to real datasets to illustrate the usefulness of the proposed distribution are presented.

Dans ce papier une nouvelle loi est introduite. Elle est denommée loi log-logistic exponentiée gamma (GELLLoG).Elle est une generalisation de la loi de Lindley. Quelques propriétes statistiques (fonction de risque, fonctions des quantiles, moments absolus et conditionels, déviation par rapport à médiane, courbes de Bonferroni and Lorenz curves, entropie, etc.) sont données. Les estimateurs de maximum de vraisemblance sont étudiés. Des applications à des données réelles sont faites.


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Broderick Olusegun OLUYEDE. Thatayaone MOAKOFI. Boikanyo MAKUBATE. "A New Gamma Generalized Lindley-Log- logistic Distribution with Applications." Afr. Stat. 15 (4) 2451 - 2479, October 2020.


Published: October 2020
First available in Project Euclid: 14 January 2021

MathSciNet: MR4199734
Digital Object Identifier: 10.16929/as/2020.2451.168

Primary: 62E99
Secondary: 60E05

Keywords: Exponentiated distribution , gamma distribution , generalized distribution , Lindley distribution , log-logistic distribution , maximum likelihood estimation

Rights: Copyright © 2020 The Statistics and Probability African Society


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Vol.15 • No. 4 • October 2020
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