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A curtailed test for the shape parameter of the Weibull distribution

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Summary

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,H 0: β=β0 when the alternative hypothesis isH a: β<β0 and early acceptance ofH 0 whenH a: β>β0. The test being scale-free, does not require the scale parameter to be known.

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Authors and Affiliations

  1. School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia

    P. G. Wong

  2. Department of Mathematical Sciences, Memphis State University, 38152, Memphis, Tennessee, U.S.A.

    S. P. Wong

Authors
  1. P. G. Wong
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  2. S. P. Wong
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Wong, P.G., Wong, S.P. A curtailed test for the shape parameter of the Weibull distribution. Metrika 29, 203–209 (1982). https://doi.org/10.1007/BF01893380

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  • DOI: https://doi.org/10.1007/BF01893380

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