Another extension of the Gompertz distribution : Properties, applications and regression

Ocloo, Selasi Kwaku; Nasiru, Suleman; Odoi, Benjamin; Brew, Lewis

doi:10.47974/JSMS-1233

Open Access Research Article

Another extension of the Gompertz distribution : Properties, applications and regression

Selasi Kwaku Oclooselasi.ocloo@ashesi.edu.ghDepartment of Engineering Faculty of Engineering and Computer Science Ashesi UniversityBerekuso, Ghana0000-0001-6137-4717View full profile → , ^*Suleman NasiruCorresponding authorkudugua@gmail.com; snasiru@cktutas.edu.ghDepartment of Statistics and Actuarial Science School of Mathematical Sciences C. K. Tedam University of Technology and Applied SciencesNavrongo, Ghana0000-0001-6652-4251View full profile → , Benjamin Odoibodoi@umat.edu.ghDepartment of Mathematical Sciences Faculty of Computing and Mathematical Sciences University of Mines and TechnologyTarkwa, Ghana0000-0001-6759-0744View full profile → , Lewis Brewlbrew@umat.edu.ghDepartment of Mathematical Sciences Faculty of Computing and Mathematical Sciences University of Mines and TechnologyTarkwa, Ghana0000-0002-4820-7241View full profile →

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pp. 425–443Vol. 28Issue 3April 2025DOI: 10.47974/JSMS-1233XML

Received:: 10 May 2023
Published Online:: 08 Apr 2025
Article type:: Research Article
Language:: EN
Article no.:: JSMS-1233
Pages:: 425–443

Abstract

Modelling heterogeneous data sets is an emerging research area that is growing steadily. This paper introduces the Harmonic Mixture Gompertz distribution, a new mixture model derived from the weighted harmonic mean of the survival functions of two Gompertz distributions. Some statistical properties are obtained. A simulation study is conducted to evaluate the performance of some estimation techniques used. Two-lifetime data sets were applied to the proposed distribution to ascertain its versatility while comparing it with other modifications of the Gompertz distribution. A regression model from the proposed model is developed using logarithmic link functions.

Keywords

Harmonic mixture-G family Gompertz distribution Heavy-tailed distribution Parameter estimation Monte Carlo simulation Applications

Subject Classifications

60E0562F1062PO5

References

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