Abstract

In this paper, we propose a new two parameter continuous distribution.
It is called a Benrabia distribution. Some statistical properties are derived
such as: the moment generating function, the moments and related measures, the reliability analysis and related functions. Also, the distribution of
order statistics and the quantile function are presented and the R´ enyi entropy is derived. The method of maximum likelihood estimation is used to
estimate the distribution parameters. A simulation is performed to investigate the performance of MLE, real data applications show that the proposed
distribution can provide a better fit than several well-known distributions.
keywords: Mixing distribution, Benrabia distribution, reliability analysis,
R´ enyi entropy, maximum likelihood estimation, moment generating function

Information

Item Type:	Journal
Divisions:
ePrint ID:	4417
Date Deposited:	2023-09-13
Further Information:	Google Scholar
URI:	https://www.univ-soukahras.dz/en/publication/article/4417

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