Abstract
A profusion of new classes of distributions has recently showed its usefulness to applied statisticians working in various areas of studies. Generalizing existing distributions by adding extra parameters to an existing family of distribution functions leads to more flexible models. In this article, we define a new three-parameter lifetime model called the weighted modified Weibull distribution. Various statistical properties of the distribution are derived. The estimation of parameters is discussed by using the method of maximum likelihood. Finally, the superiority of the proposed distribution is shown by analyzing four well-known lifetime datasets.
| Original language | English |
|---|---|
| Article number | JTE20170370 |
| Journal | Journal of Testing and Evaluation |
| Volume | 47 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Sep 1 2019 |
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Keywords
- Generalized distributions
- Meijer's G-function
- Modified Weibull distribution
- Real datasets
- α-power transformation
ASJC Scopus subject areas
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering
Cite this
Weighted modified Weibull distribution. / Khan, Muhammad Nauman; Saeed, Anwaar; Yousef Abdelfattah Alzaatreh, Ayman.
In: Journal of Testing and Evaluation, Vol. 47, No. 5, JTE20170370, 01.09.2019.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Weighted modified Weibull distribution
AU - Khan, Muhammad Nauman
AU - Saeed, Anwaar
AU - Yousef Abdelfattah Alzaatreh, Ayman
PY - 2019/9/1
Y1 - 2019/9/1
N2 - A profusion of new classes of distributions has recently showed its usefulness to applied statisticians working in various areas of studies. Generalizing existing distributions by adding extra parameters to an existing family of distribution functions leads to more flexible models. In this article, we define a new three-parameter lifetime model called the weighted modified Weibull distribution. Various statistical properties of the distribution are derived. The estimation of parameters is discussed by using the method of maximum likelihood. Finally, the superiority of the proposed distribution is shown by analyzing four well-known lifetime datasets.
AB - A profusion of new classes of distributions has recently showed its usefulness to applied statisticians working in various areas of studies. Generalizing existing distributions by adding extra parameters to an existing family of distribution functions leads to more flexible models. In this article, we define a new three-parameter lifetime model called the weighted modified Weibull distribution. Various statistical properties of the distribution are derived. The estimation of parameters is discussed by using the method of maximum likelihood. Finally, the superiority of the proposed distribution is shown by analyzing four well-known lifetime datasets.
KW - Generalized distributions
KW - Meijer's G-function
KW - Modified Weibull distribution
KW - Real datasets
KW - α-power transformation
UR - http://www.scopus.com/inward/record.url?scp=85065127450&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85065127450&partnerID=8YFLogxK
U2 - 10.1520/JTE20170370
DO - 10.1520/JTE20170370
M3 - Article
AN - SCOPUS:85065127450
VL - 47
JO - Journal of Testing and Evaluation
JF - Journal of Testing and Evaluation
SN - 0090-3973
IS - 5
M1 - JTE20170370
ER -