# The Marshall-Olkin Extended Unit-Gompertz Distribution: its Properties, Simulations and Applications

## DOI:

https://doi.org/10.6092/issn.1973-2201/11014## Keywords:

Unit-Gompertz distribution, Marshall-Olkin, Quantile regression model## Abstract

In this paper, a newbounded generalization of the unit-Gompertz distribution called the Marshall-Olkin extended unit-Gompertz distribution (MOEUGD) is introduced. The mathematical properties and an associated quantile regression model of the proposed distribution are derived. The maximum likelihood estimation method is employed for estimating the parameters of the proposed distribution, and a Monte Carlo simulation study is carried out to investigate the asymptotic behaviour of the parameter estimates of the proposed distribution. Finally, the applicability of the proposed distribution is illustrated by means of two real data sets defined on a unit-interval andan application of the regression model to a real data set.

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*Statistica*,

*82*(2), 97–118. https://doi.org/10.6092/issn.1973-2201/11014

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