Mixture unit Weibull distribution : Properties and applications

Kparibire, Festus W.; Nasiru, Suleman; Kobilla, Abdul-Aziz Adam; Abubakari, Abdul Ghaniyyu

doi:10.47974/JSMS-1270

Open Access Research Article

Mixture unit Weibull distribution : Properties and applications

^*Festus W. KparibireCorresponding authorwkparibire.stu@cktutas.edu.ghDepartment of Statistics and Actuarial ScienceSchool of Mathematical SciencesC. K. Tedam University of Technology and Applied SciencesNavrongo, GhanaView full profile → , Suleman Nasirusulemanstat@gmail.com snasiru@cktutas.edu.ghDepartment of Statistics and Actuarial ScienceSchool of Mathematical SciencesC. K. Tedam University of Technology and Applied SciencesNavrongo, Ghana0000-0001-6652-4251View full profile → , Abdul-Aziz Adam Kobillaa-aadam@cktutas.edu.ghDepartment of Statistics and Actuarial ScienceSchool of Mathematical SciencesC. K. Tedam University of Technology and Applied SciencesNavrongo, GhanaView full profile → , Abdul Ghaniyyu Abubakariaabubakari@cktutas.edu.ghDepartment of Statistics and Actuarial ScienceSchool of Mathematical SciencesC. K. Tedam University of Technology and Applied SciencesNavrongo, GhanaView full profile →

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pp. 337–354Vol. 28Issue 2March 2025DOI: 10.47974/JSMS-1270XML

Received:: 08 Aug 2023
Published Online:: 01 Mar 2025
Article type:: Research Article
Language:: EN
Article no.:: JSMS-1270
Pages:: 337–354

Abstract

In this study, two component mixture unit-Weibull (TCMUW) model is proposed for fitting data on (0, 1) interval by mixing two unit-Weibull models. The density function plots give the impression that the new model can exhibit negative or right skewness, unimodal or bimodal shapes. The hazard function displayed various desirable shapes. The relevance of the TCMUW model are exemplified utilizing datasets. The outcome of the findings intimates that the TCMUW model proffer reasonable fit with minimal loss of information than the other models compared with.

Keywords

Discrete mixture Bimodal Simulation Positively-skewed Unit-Weibull

Subject Classifications

60E0562F1062E15

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