The Marshall-Olkin Topp-Leone Half-Logistic-G Family of Distributions with Applications

  • Whatmore Sengweni Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana
  • Broderick Oluyede Botswana International University of Science and Technology
  • Boikanyo Makubate Botswana International University of Science and Technology
DOI: https://doi.org/10.19139/soic-2310-5070-1082
Keywords: Marshall-Olkin Distribution, Topp-Leone Distribution, Half-Logistic Distribution, Maximum Likelihood Estimation

Abstract

A new family of distributions called the Marshall-Olkin Topp-Leone Half-Logistic-G (MO-TLHL-G) family of distributions is proposed and studied. Structural properties of the new family of distributions including moments, incomplete moments, distribution of the order statistics, and Renyi entropy are derived. The maximum likelihood estimation technique is used to estimate the model parameters. A simulation study to examine the bias and mean square error of the maximum likelihood estimators and applications to real data sets to illustrates the usefulness of the generalized distribution are given.

Author Biographies

Broderick Oluyede, Botswana International University of Science and Technology
Professor of Statistics, Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology
Boikanyo Makubate, Botswana International University of Science and Technology
Professor of Statistics, Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology

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Published
2023-08-07
How to Cite
Sengweni, W., Oluyede, B., & Makubate, B. (2023). The Marshall-Olkin Topp-Leone Half-Logistic-G Family of Distributions with Applications. Statistics, Optimization & Information Computing, 11(4), 1001-1026. https://doi.org/10.19139/soic-2310-5070-1082
Issue
Vol 11 No 4 (2023)
Section
Research Articles
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