Y. Komori (2006), Properties of the Weibull cumulative exposure model,
Journal of Applied Statistics, 33 (1), 17-34.
Abstract
This article is aimed at the investigation of some properties of the Weibull
cumulative exposure model on multiple-step step-stress accelerated life
test data. Although the model includes a probabilistic idea of Miner's
rule in order to express the effect of cumulative damage in fatigue, our
result shows that the application of only this is not sufficient to express
degradation of specimens and the shape parameter must be larger than 1.
For a random variable obeying the model, its average and standard deviation
are investigated on a various sets of parameter values. In addition, a
way of checking the validity of the model is illustrated through an example
of the maximum likelihood estimation on an actual data set, which is about
time to breakdown of cross-linked polyethylene-insulated cables.
Note
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Last updated: 2012/10/23