Half Logistic Odd Weibull-Topp-Leone-G Family of Distributions: Model, Properties and Applications

Authors

Fastel Chipepa, Botswana International University of Science and TechnologyFollow
Divine Wanduku, Georgia Southern UniversityFollow
Broderick O. Oluyede, Georgia Southern UniversityFollow

Document Type

Article

Publication Date

2020

Publication Title

Afrika Statistika

DOI

10.16929/as/2020.2481.169

ISSN

2316-090X

Abstract

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.

Comments

Copyright belongs to Afrika Statistika and authors

Recommended Citation

Chipepa, Fastel, Divine Wanduku, Broderick O. Oluyede. 2020. "Half Logistic Odd Weibull-Topp-Leone-G Family of Distributions: Model, Properties and Applications." Afrika Statistika, 15 (4): 2481-2510: African Journals OnLine (AJOL). doi: 10.16929/as/2020.2481.169
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/759