A Goodness-of-Fit Test for the Two Parameter Versus Three Parameter Weibull; Confidence Bounds for Threshold.

摘要

An investigation is described herein of modifications of the two-parameter Weibull goodness-of-fit test of Mann, Scheuer and Fertig. It is assumed that the sole alternative of interest is any three-parameter Weibull distribution. The power of candidate test statistics is investigated, therefore, only under various three-parameter Weibull alternative hypotheses. It is found that for a fixed selection of gaps (differences of adjacent order statistics) used in the numerator and in the denominator of the approximately F distributed test statistic, nothing is gained by weighting the gaps in order to minimize the variances and thus to maximize the numbers of degrees of freedom.