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Parametric Multiplicative Intensities Models Fitted to Bus Motor Failure Data
Author(s) -
Lindsey J. K.
Publication year - 1997
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.1111/1467-9876.00063
Subject(s) - logarithm , bathtub , weibull distribution , multiplicative function , mathematics , parametric statistics , statistics , logarithmic mean , computer science , mathematical analysis , archaeology , history
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.