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A modified Weibull
distribution Lai, C.D. Min Xie
Murthy,
D.N.P. Inst. of
Inf. Sci. & Technol., Massey Univ., New Zealand; This paper appears in: Reliability,
IEEE Transactions on
Publication Date: March 2003 On page(s): 33- 37 Volume: 52, Issue:
1 ISSN: 0018-9529
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 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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