A modified Weibull distribution

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

445 Scopus Citations
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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)33-37
Journal / PublicationIEEE Transactions on Reliability
Volume52
Issue number1
Publication statusPublished - Mar 2003
Externally publishedYes

Abstract

A new lifetime distribution capable of modeling a bathtub-shaped hazard-rate function is proposed. The proposed model is derived as a limiting case of the Beta Integrated Model and has both the Weibull distribution and Type I extreme value distribution as special cases. The model can be considered as another useful 3-parameter generalization of the Weibull distribution. An advantage of the model is that the model parameters can be estimated easily based on a Weibull probability paper (WPP) plot that serves as a tool for model identification. Model characterization based on the WPP plot is studied. A numerical example is provided and comparison with another Weibull extension, the exponentiated Weibull, is also discussed. The proposed model compares well with other competing models to fit data that exhibits a bathtub-shaped hazard-rate function.

Research Area(s)

  • Bathtub shape, Hazard-rate function, Modeling data, Parameter estimation, Weibull distribution, Weibull probability plot

Citation Format(s)

A modified Weibull distribution. / Lai, C. D.; Xie, Min; Murthy, D. N P.
In: IEEE Transactions on Reliability, Vol. 52, No. 1, 03.2003, p. 33-37.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review