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Title: On changing points of mean residual life and failure rate function for some generalized Weibull distributions
Authors: Xie, M. 
Goh, T.N. 
Tang, Y.
Keywords: Bathtub curve
Change point
Constant life phase
Extended Weibull distribution
Failure rate
Mean residual life
Issue Date: Jun-2004
Citation: Xie, M., Goh, T.N., Tang, Y. (2004-06). On changing points of mean residual life and failure rate function for some generalized Weibull distributions. Reliability Engineering and System Safety 84 (3) : 293-299. ScholarBank@NUS Repository.
Abstract: The failure rate function and mean residual life function are two important characteristics in reliability analysis. Although many papers have studied distributions with bathtub-shaped failure rate and their properties, few have focused on the underlying associations between the mean residual life and failure rate function of these distributions, especially with respect to their changing points. It is known that the change point for mean residual life can be much earlier than that of failure rate function. In fact, the failure rate function should be flat for a long period of time for a distribution to be useful in practice. When the difference between the change points is large, the flat portion tends to be longer. This paper investigates the change points and focuses on the difference of the changing points. The exponentiated Weibull, a modified Weibull, and an extended Weibull distribution, all with bathtub-shaped failure rate function will be used. Some other issues related to the flatness of the bathtub curve are discussed. © 2004 Published by Elsevier Ltd.
Source Title: Reliability Engineering and System Safety
ISSN: 09518320
Appears in Collections:Staff Publications

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