Optimal Outlier Tests for a Weibull Model - To Identify Process Changes or to Predict Failure Times

摘要

Weibull outlier tests based on three different statistics are investigated with respect to their power optimality under various alternative models. Two of thes statistics are new in the context of outlier statistics; and one of these is shown to provide a more powerful test in certain situations than other more classical outlier test statistics. Critical values of the three statistics were computer-generated and are tabulated. The tabulated values allow one to identify 'treatment effects' resulting from unsuspected modifications to a process or to predict failure times in a life test. Numerical examples are given. (Author)