A New Lifetime Exponential-X Family of Distributions with Applications to Reliability Data
Joint Authors
Khosa, Saima K.
Ahmad, Zubair
Almaspoor, Zahra
Ilyas, Muhammad
Huo, Xiaoyan
Aamir, Muhammad
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-18
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Modeling reliability data with nonmonotone hazards is a prominent research topic that is quite rich and still growing rapidly.
Many studies have suggested introducing new families of distributions to modify the Weibull distribution to model the nonmonotone hazards.
In the present study, we propose a new family of distributions called a new lifetime exponential-X family.
A special submodel of the proposed family called a new lifetime exponential-Weibull distribution suitable for modeling reliability data with bathtub-shaped hazard rates is discussed.
The maximum-likelihood estimators of the model parameters are obtained.
A brief Monte Carlo simulation study is conducted to evaluate the performance of these estimators.
For illustrative purposes, two real applications from reliability engineering with bathtub-shaped hazard functions are analyzed.
The practical applications show that the proposed model provides better fits than the other nonnested models.
American Psychological Association (APA)
Huo, Xiaoyan& Khosa, Saima K.& Ahmad, Zubair& Almaspoor, Zahra& Ilyas, Muhammad& Aamir, Muhammad. 2020. A New Lifetime Exponential-X Family of Distributions with Applications to Reliability Data. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1193127
Modern Language Association (MLA)
Huo, Xiaoyan…[et al.]. A New Lifetime Exponential-X Family of Distributions with Applications to Reliability Data. Mathematical Problems in Engineering No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1193127
American Medical Association (AMA)
Huo, Xiaoyan& Khosa, Saima K.& Ahmad, Zubair& Almaspoor, Zahra& Ilyas, Muhammad& Aamir, Muhammad. A New Lifetime Exponential-X Family of Distributions with Applications to Reliability Data. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1193127
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193127