Y. Komori (2003), Statistical properties of the Weibull cumulative exposure model, Technical Report CSSE-18, Faculty of Computer Science & Systems Engineering, Kyushu Institute of Technology.

Abstract
This article is aimed at the investigation of some properties of a 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, it is shown that only this is not sufficient to account for 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, an example of the maximum likelihood estimation is given on an actual data set.

Note
The material in this report has been superseded by Y. Komori (2006).

The pdf file is obtainable from here.

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Last updated: 2005/12/26