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

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

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 statistic...

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Bibliographic Details
Main Authors: Broderick Oluyede, Thatayaone Moakofi, Gomolemo Lekono
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Stats
Subjects:
Marshall–Olkin-G
type II exponentiated half-logistic-G
simulation
estimation methods
Online Access:https://www.mdpi.com/2571-905X/8/2/26
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Summary: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.
ISSN:2571-905X

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