A flexible probability model for reliability data analysis : the extended half-normal distribution with further results
Joint Authors
Khurshid, Iman
Salinas, Hugo S.
al-Bakkush, Hasan S.
Source
Issue
Vol. 49, Issue 2 (30 Apr. 2022), pp.1-14, 14 p.
Publisher
Kuwait University Academic Publication Council
Publication Date
2022-04-30
Country of Publication
Kuwait
No. of Pages
14
Main Subjects
Abstract EN
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, an extended class of such distributions.
The presented distribution has a scale parameter and two shape parameters.
The motivations behind the development of this distribution are : 1- the probability distribution function has skewed, unimodal and bathtub shapes with different styles and the hazard rate function is increasing with various shapes, which makes this distribution flexible enough to analyze reliability data; 2- it can be expressed as a mixture of the Generalized Half-Normal distribution and the new weighted Generalized Half-Normal distribution.
A number of statistical results are derived.
Monte Carlo simulation analysis is carried out with Maximum Likelihood Estimation to assess the performance of this technique for a variety of the distribution param eter values.
The power of the distribution is demonstrated with real applications using two reliability datasets from the industry.
The results reveal that the proposed distribution outperformed the General ized Lindley, Exponentiated Exponential, Gamma, Alpha-Skew-Normal, the Half-Alpha-Skew-Normal, and the Modified Generalized Half-Normal distributions.
American Psychological Association (APA)
Khurshid, Iman& Salinas, Hugo S.& al-Bakkush, Hasan S.. 2022. A flexible probability model for reliability data analysis : the extended half-normal distribution with further results. Kuwait Journal of Science،Vol. 49, no. 2, pp.1-14.
https://search.emarefa.net/detail/BIM-1500273
Modern Language Association (MLA)
Khurshid, Iman…[et al.]. A flexible probability model for reliability data analysis : the extended half-normal distribution with further results. Kuwait Journal of Science Vol. 49, no. 2 (Apr. 2022), pp.1-14.
https://search.emarefa.net/detail/BIM-1500273
American Medical Association (AMA)
Khurshid, Iman& Salinas, Hugo S.& al-Bakkush, Hasan S.. A flexible probability model for reliability data analysis : the extended half-normal distribution with further results. Kuwait Journal of Science. 2022. Vol. 49, no. 2, pp.1-14.
https://search.emarefa.net/detail/BIM-1500273
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 13-14
Record ID
BIM-1500273