Résumé

In this paper, we propose a new two parameter continuous distribution. It
is called Loai distribution. Some statistical properties of this distribution
are derived such as: the moment generating function, the moments and
related measures, the reliability analysis, and associated functions. Also,
the distribution of order statistics and the quantile function are presented.
Shannon, Re’nyi and Tsallis entropies are derived. The method of
maximum likelihood and some other methods of estimation are used to
estimate the distribution parameters. A simulation study is performed to
investigate the performance of different methods of estimation. Covid-19
real data applications show that the proposed distribution can provide a
better t than several well-known distributions.
Keywords: Mixing distribution, Loai distribution, gamma distribution,
moments and moment generating function, reliability analysis, entropy,
maximum likelihood estimate, and Lindley distribution.

Information

Item Type:	Journal
Divisions:
ePrint ID:	4418
Date Deposited:	2023-09-13
Further Information:	Google Scholar
URI:	https://www.univ-soukahras.dz/fr/publication/article/4418

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