The Topp-Leone Odd Burr X-G Family of Distributions: Properties and Applications

  • Broderick Oluyede Botswana International University of Science & Technology
  • Bakang Percy Tlhaloganyang Botswana International University of Science and Technology
  • Whatmore Sengweni Botswana International University of Science & Technology
DOI: https://doi.org/10.19139/soic-2310-5070-1673
Keywords: Topp-Leone distribution, Odd Burr X-G distribution, Weibull distribution, Maximum Likelihood estimation

Abstract

This paper proposes a new generalized family of distributions called the Topp-Leone odd Burr X-G (TLOBX-G) distribution and its special model, Topp-Leone odd Burr X-Weibull (TLOBX-W) is studied in detail. Structural properties are derived, including the hazard rate function, quantile function, density expansion, moments, R'enyi entropy, and order statistics. The maximum likelihood technique is used to estimate the parameters of the new family of distributions and a simulation study was carried out to assess the accuracy and consistency of these estimators. Finally, the applicability, usefulness, and flexibility of TLOBX-W distribution are illustrated using two real-life datasets.

Author Biographies

Broderick Oluyede, Botswana International University of Science & Technology
Professor of Statistics Department of Mathematics & Statistical Sciences Botswana International University of Science & Technology
Whatmore Sengweni, Botswana International University of Science & Technology
Phd Student Department of Mathematics & Statistical Sciences Botswana International University of Science and Technology, Botswana

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Published
2023-11-13
How to Cite
Oluyede, B., Tlhaloganyang, B. P., & Sengweni, W. (2023). The Topp-Leone Odd Burr X-G Family of Distributions: Properties and Applications. Statistics, Optimization & Information Computing, 12(1), 109-132. https://doi.org/10.19139/soic-2310-5070-1673
Issue
Vol 12 No 1 (2024)
Section
Research Articles
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