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

Broderick Oluyede (), Thatayaone Moakofi and Gomolemo Lekono
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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

Stats, 2025, vol. 8, issue 2, 1-38

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.

Keywords: Marshall–Olkin-G; type II exponentiated half-logistic-G; simulation; estimation methods (search for similar items in EconPapers)
JEL-codes: C1 C10 C11 C14 C15 C16 (search for similar items in EconPapers)
Date: 2025
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