The Topp-Leone Odd Burr III-G Family of Distributions: Model, Properties and Applications

  • Thatayaone Moakofi epartment of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, BW
  • Broderick Oluyede
  • Morongwa Gabanakgosi Department of Mathematical Statistics, Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana
Keywords: Odd Burr III Distribution, Topp-Leone-G Distribution, Generalized Distribution, Maximum Likelihood Estimation

Abstract

We propose and investigate a new generalized family of distributions called the Topp-Leone Odd Burr III-G (TL- OBIII-G) family of distributions. We present the sub-families of this new family of distributions. Properties of the new family of distributions includs sub-models, quantile function, moments, incomplete and probability weighted moments, distribution of the order statistics, and Renyi entropy are derived. The Maximum likelihood estimation technique is used to estimate the model parameters, and a Monte Carlo simulation study is employed to examine the performance of the model. Two real data sets are used to prove the importance of the TL-OBIII-G family of distributions.

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Published
2022-02-08
How to Cite
Moakofi, T., Oluyede, B., & Gabanakgosi, M. (2022). The Topp-Leone Odd Burr III-G Family of Distributions: Model, Properties and Applications. Statistics, Optimization & Information Computing, 10(1), 236-262. https://doi.org/10.19139/soic-2310-5070-1135
Section
Research Articles

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