Abstract
A procedure is proposed in this paper for testing the shape parameter, β of the Weibull distribution. The test statistic which is based on the extremal quotient, possesses a monotone property which makes it possible for rejection earlier than the last planned observation of the null hypothesis,H0: β=β0 when the alternative hypothesis isHa: β β0. The test being scale-free, does not require the scale parameter to be known.
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