Hindawi Publishing Corporation
Mathematical Problems in Engineering
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.
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This work is licensed under a Creative Commons Attribution 4.0 International License.
Liao, Qinghu; Ahmad, Zubair; Mahmoudi, Eisa; and Hamedani, Gholamhossein, "A New Flexible Bathtub-Shaped Modification of the Weibull Model: Properties and Applications" (2020). Mathematical and Statistical Science Faculty Research and Publications. 47.
ADA Accessible Version
Published version. Mathematical Problems in Engineering, Vol. 2020, Article ID 3206257, (2020). DOI. © 2020 Qinghu Liao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Used with permission.