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Abstract

A new family of distributions called Gamma Odd Burr X-G (GOBX-G) distribution is introduced in this paper. Its structural properties such as the density expansion, quantile function, moments and generating functions, incomplete moments, probability weighted moments, R´enyi entropy and order statistics were derived. Maximum likelihood technique is used to estimate the parameter of this model and simulation results are provided. The flexibility and applicability of this model is demonstrated using real life datasets.

Keywords

Family of distributions Gamma-distribution Odd Burr X-G distribution Weibull distribution Maximum likelihood estimation

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Author Biographies

Bakang Percy Tlhaloganyang, University of Botswana, Botswana

Department of Statistics (Masters student)

Whatmore, Department of Mathematics & Statistical Sciences, Botswana International University of Science and Technology, Botswana

Department of Mathematics & Statistical Sciences, Botswana International University of Science and Technology, Botswana.

Broderick Oluyede, Department of Mathematics & Statistical Sciences, Botswana International University of Science and Technology, Botswana

Statistics Professor, Department of Mathematics & Statistical Sciences, Botswana International University of Science and Technology, Botswana. 

How to Cite
Tlhaloganyang, B. P., Sengweni, W., & Oluyede, B. (2022). The The Gamma Odd Burr X-G Family of Distributions with Applications. Pakistan Journal of Statistics and Operation Research, 18(3), 721-746. https://doi.org/10.18187/pjsor.v18i3.4045
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