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Alternative Time Scales and Failure Time Models
Authors:Thierry Duchesne  Jerry Lawless
Institution:(1) Department of Statistics, University of Toronto, Toronto, ON, Canada, M5S 3G3;(2) Department of Statistics and Actuarial Science, University of Waterloo, Waterloo, ON, Canada, N2L 3G1
Abstract:In many reliability applications, there may not be a unique plausible scale in which to measure time to failure or assess performance. This is especially the case when several measures of usage are available on each unit. For example, the age, the total number of flight hours, and the number of landings are usage measures that are often considered important in aircraft reliability. Similarly, in medical or biological applications of survival analysis there are often alternative scales (e.g., Oakes, 1995). This paper considers the definition of a "good" time scale, along with methods of determining a time scale.
Keywords:accelerated lifetime models  exposure  reliability  survival analysis  time transformation  time-varying covariate  usage measure
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