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The New Marshall–Olkin–Type II Exponentiated Half-Logistic–Odd Burr X-G Family of Distributions with Properties and Applications

Author

Listed:
  • Broderick Oluyede

    (Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye 10071, Botswana)

  • Thatayaone Moakofi

    (Independent Researcher, Botswana)

  • Gomolemo Lekono

    (Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye 10071, Botswana)

Abstract

We develop a novel family of distributions named the Marshall–Olkin type II exponentiated half-logistic–odd Burr X-G distribution. Several mathematical properties including linear representation of the density function, Rényi entropy, probability-weighted moments, and distribution of order statistics are obtained. Different estimation methods are employed to estimate the unknown parameters of the new distribution. A simulation study is conducted to assess the effectiveness of the estimation methods. A special model of the new distribution is used to show its usefulness in various disciplines.

Suggested Citation

  • Broderick Oluyede & Thatayaone Moakofi & Gomolemo Lekono, 2025. "The New Marshall–Olkin–Type II Exponentiated Half-Logistic–Odd Burr X-G Family of Distributions with Properties and Applications," Stats, MDPI, vol. 8(2), pages 1-38, April.
    • Handle: RePEc:gam:jstats:v:8:y:2025:i:2:p:26-:d:1628320
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    References listed on IDEAS

    as
    1. M. Mansoor & M. H. Tahir & Gauss M. Cordeiro & Serge B. Provost & Ayman Alzaatreh, 2019. "The Marshall-Olkin logistic-exponential distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(2), pages 220-234, January.
    2. Renata Rojas Guerra & Fernando A. Peña-Ramírez & Gauss M. Cordeiro, 2023. "The Logistic Burr XII Distribution: Properties and Applications to Income Data," Stats, MDPI, vol. 6(4), pages 1-20, November.
    3. Miroslav Ristić & Debasis Kundu, 2015. "Marshall-Olkin generalized exponential distribution," METRON, Springer;Sapienza Università di Roma, vol. 73(3), pages 317-333, December.
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