M.benrabia and L.M. Alzoubi (2022) Benrabia distribution: properties and applications. Electronic Journal of Applied Statistical Analysis EJASA, Electron. J. App. Stat. Anal , 15(2), 300-317
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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
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://univ-soukahras.dz/en/publication/article/4417 |
BibTex
@article{uniusa4417,
title={Benrabia distribution: properties and applications},
author={M.benrabia and L.M. Alzoubi},
journal={Electronic Journal of Applied Statistical Analysis EJASA, Electron. J. App. Stat. Anal}
year={2022},
volume={15},
number={2},
pages={300-317},
publisher={}
}
title={Benrabia distribution: properties and applications},
author={M.benrabia and L.M. Alzoubi},
journal={Electronic Journal of Applied Statistical Analysis EJASA, Electron. J. App. Stat. Anal}
year={2022},
volume={15},
number={2},
pages={300-317},
publisher={}
}