A Flexible probability model for reliability data: The extended half-normal distribution with further results

Recent years have shown growth in the potential applications of extensions of skew and half-normal distributions. In this paper, we provide and study, in detail, a flexible and extended class of such distributions. The developed distribution has a scale parameter and two shape parameters. We carry...

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Bibliographic Details
Main Authors: Eman Khorsheed, Hugo Salinas, Hassan Bakouch
Format: Article
Language:English
Published: Elsevier 2022-03-01
Series:Kuwait Journal of Science
Online Access:https://journalskuwait.org/kjs/index.php/KJS/article/view/12615
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Summary:Recent years have shown growth in the potential applications of extensions of skew and half-normal distributions. In this paper, we provide and study, in detail, a flexible and extended class of such distributions. The developed distribution has a scale parameter and two shape parameters. We carry out a Monte Carlo simulation with Maximum Likelihood Estimation to assess the performance of this technique for a variety of parameter values. The power of the distribution is demonstrated with real applications using two reliability data sets. The results reveal that the proposed distribution can produce a better fit than several other distributions.
ISSN:2307-4108
2307-4116