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Parametric Multiplicative Intensities Models Fitted to Bus Motor Failure Data

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Classes of two- and three-parameter multiplicative intensities models are presented. These have the advantage that they can be simply fitted by standard software. The two-parameter models include the Weibull and extreme value models, whereas the three-parameter models can have bathtub-shaped forms. The bus motor failure data are reanalysed to show that all five failures of the 191 buses can be adequately described by the same two-parameter multiplicative intensity model based on the squared logarithm of distance travelled in service since previous repair. This is a new member of the multiplicative intensity family, based on the squared logarithm of distance, or of time for survival data.

Keywords: Bathtub shape; Failure times; Multiplicative intensities; Poisson regression; Proportional hazards

Document Type: Original Article


Affiliations: Limburgs Universitair Centrum, Diepenbeek, Belgium

Publication date: January 1, 1997


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