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Abstract

A new family of distributions called exponentiated half-logistic Odd Burr III-G (EHL-OBIII-G) is developed and studied. Mathematical and statistical properties such as the hazard function, quantile function, moments, probability weighted moments, Renyi entropy and stochastic orders are derived. The model parameters are estimated based on the maximum likelihood estimation method. The usefulness of the proposed family of distributions is demonstrated via extensive simulation studies. Finally the proposed model and its special case is applied to real data sets to illustrate its best fit and flexibility.

Keywords

Half-logistic distribution Odd Burr-III distribution Family of distributions Maximum likelihood Estimation

Article Details

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Author Biographies

Broderick Oluyede, Botswana International University of Science & Technology

Professor of Statistics

Department of Mathematics and Statistical Sciences

Peter O. Peter, Botswana International University of Science & Technology

Researcher

Department of Mathematics and Statistical Sciences

Nkumbuludzi Ndwapi, Botswana International University of Science & Technology

Statistics Lecturer 

Department of Mathematics & Statitical Sciences

Huybrechts Bindele, University of South Alabama

Professor of Statistics

Department of Mathematics & Statistics

How to Cite
Oluyede, B., Peter, P. O., Ndwapi, N., & Bindele, H. (2022). The Exponentiated Half-logistic Odd Burr III-G: Model, Properties and Applications: The Exponentiated Half-logistic Odd Burr III-G. Pakistan Journal of Statistics and Operation Research, 18(1), 33-57. https://doi.org/10.18187/pjsor.v18i1.3668
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