The Marshall-Olkin-exponentiated half logistic-G family of distributions : Model, properties and applications

Makubate, Boikanyo; Chipepa, Fastel; Oluyede, Broderick; Moagi, Gaoganwe

doi:10.47974/JSMS-854

Open Access Research Article

The Marshall-Olkin-exponentiated half logistic-G family of distributions : Model, properties and applications

Boikanyo Makubatemakubateb@biust.ac.bwDepartment of Mathematics and Statistical SciencesBotswana International University of Science and TechnologyPalapye, 00267, BotswanaView full profile → , ^*Fastel ChipepaCorresponding authorchipepaf@biust.ac.bwDepartment of Mathematics and Statistical SciencesBotswana International University of Science and TechnologyPalapye, 00267, BotswanaView full profile → , Broderick Oluyedeoluyedeo@biust.ac.bwDepartment of Mathematics and Statistical SciencesBotswana International University of Science and TechnologyPalapye, 00267, BotswanaView full profile → , Gaoganwe Moagigaoganwe.moagi@studentmail.biust.ac.bwDepartment of Mathematics and Statistical SciencesBotswana International University of Science and TechnologyPalapye, 00267, BotswanaView full profile →

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pp. 1243–1259Vol. 27Issue 7October 2024DOI: 10.47974/JSMS-854XML

Received:: 06 Apr 2021
Accepted:: 18 Aug 2021
Published Online:: 30 Nov 2024
Article type:: Research Article
Language:: EN
Article no.:: JSMS-854
Pages:: 1243–1259

Abstract

A new generalization of the exponentiated half-logistic-G distribution is developed to produce a new family of distributions referred to as the Marshall-Olkin-exponentiated half logistic-G distribution. The new family of distributions is an infinite linear combination of the exponentiated-G family of distributions. We considered some special cases of the new distribution and we conclude that the distribution can handle heavy tailed data and non-monotonic hazard rate functions. A simulation study was conducted to assess the consistency of the maximum likelihood estimates. Real data examples are provided to demonstrate the usefulness of the proposed model in comparison with other competing models.

Keywords

Marshall-Olkin-G distribution Exponentiated half-logistic distribution Maximum likelihood estimation

Subject Classifications

62E9960E0562E15

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