A modified Weibull distribution

被引:387
作者
Lai, CD [1 ]
Xie, M
Murthy, DNP
机构
[1] Massey Univ, Inst Informat Sci & Technol, Palmerston North, New Zealand
[2] Natl Univ Singapore, Dept Ind & Syst Engn, Singapore 119260, Singapore
[3] Univ Queensland, Dept Mech Engn, Brisbane, Qld 4072, Australia
关键词
bathtub shape; hazard-rate function; modeling data; parameter estimation; Weibull distribution; Weibull probability plot;
D O I
10.1109/TR.2002.805788
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
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.
引用
收藏
页码:33 / 37
页数:5
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