# The Marshall-Olkin Gompertz Distribution: Properties and Applications

## DOI:

https://doi.org/10.6092/issn.1973-2201/10993## Keywords:

Bayesian analysis, Gompertz failure rate, Gompertz distribution, Gompertz mortality rate, Marshall-Olkin distribution, Regression analysis.## Abstract

This article introduces three parameters class for lifetime Poisson processes in the Marshall-Olkin transformation family that are increasing, bathtub and skewed. Some structural mathematical properties of the Marshall-Olkin Gompertz (MO-G) model were derived. The MO-G model parameters were established by maximum likelihood approach. The flexibility, efficiency, and behavior of the MO-G model estimators were examined through simulation. The empirical applicability, flexibility and proficiency of the MO-G model was scrutinized by a real-life dataset. The proposed MO-G model provides a better fit when compared to existing models in statistical literature and can serve as an alternative model to those appearing in modeling Poisson processes.

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