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A modified Weibull distribution

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3 Author(s)
Lai, C.D. ; Inst. of Inf. Sci. & Technol., Massey Univ., New Zealand ; Min Xie ; Murthy, D.N.P.

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 1 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.

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Reliability, IEEE Transactions on  (Volume:52 ,  Issue: 1 )