A New Flexible Bathtub-Shaped Modification of the Weibull Model: Properties and Applications
Joint Authors
Ahmad, Zubair
Muhmoudi, Eisa
Hamedani, G. G
Liao, Qinghu
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-20
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Many studies have suggested the modifications and generalizations of the Weibull distribution to model the nonmonotone hazards.
In this paper, we combine the logarithms of two cumulative hazard rate functions and propose a new modified form of the Weibull distribution.
The newly proposed distribution may be called a new flexible extended Weibull distribution.
Corresponding hazard rate function of the proposed distribution shows flexible (monotone and nonmonotone) shapes.
Three different characterizations along with some mathematical properties are provided.
We also consider the maximum likelihood estimation procedure to estimate the model parameters.
For the 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)
Liao, Qinghu& Ahmad, Zubair& Muhmoudi, Eisa& Hamedani, G. G. 2020. A New Flexible Bathtub-Shaped Modification of the Weibull Model: Properties and Applications. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1194280
Modern Language Association (MLA)
Liao, Qinghu…[et al.]. A New Flexible Bathtub-Shaped Modification of the Weibull Model: Properties and Applications. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1194280
American Medical Association (AMA)
Liao, Qinghu& Ahmad, Zubair& Muhmoudi, Eisa& Hamedani, G. G. A New Flexible Bathtub-Shaped Modification of the Weibull Model: Properties and Applications. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1194280
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194280