Marshall-Olkin Extended Generalized Exponential Distribution: Properties, Inference and Application to Traffic Data

Oseghale O. Innocent, Ayoola J. Femi, Oluwole Adegoke Nuga and Ogunde A. Adebisi

International Journal of Statistics and Probability, 2025, vol. 12, issue 5, 1

Abstract: This paper aims to develop a three-parameter distribution called the Marshall–Olkin Extended Generalized Exponential (MOEGE ) distribution, which can be used in analyzing both reliability and survival data. Some statistical properties of the new distribution have been studied, which include, moments, incomplete moments, Renyl entropy, stochastic ordering, order statistics, and the moment generating function. The MOEGE distribution has submodels such as the Marshall–Olkin Extended Exponential (MOEE) , the Generalized Exponential (GE), and the Exponential (E) distribution. The maximum likelihood estimation technique is used to obtain the parameters estimate of the MOEGE distribution, also, we constructed a 95% asymptotic confidence interval for the parameters. The performances of the estimators have been studied using Monte Carlo simulation, and finally, to demonstrate the applicability of the MOEGE distribution, a traffic data set has been used.

Date: 2025
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