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Statistical inference about the shape parameter of the Weibull distribution

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  • Chen, Zhenmin

Abstract

This article discusses exact confidence intervals and exact statistical tests about the shape parameter of a Weibull distribution. There are some existing approaches for obtaining exact confidence intervals of the shape parameter based on BLUEs, BLIEs or MLEs of the parameters. A conditional technique was proposed by Lawless. The new method proposed in this paper uses less tables than the methods using BLUEs or BLIEs. The calculation for the critical values of statistical tests is simpler than the method using MLEs and the conditional method.

Suggested Citation

  • Chen, Zhenmin, 1997. "Statistical inference about the shape parameter of the Weibull distribution," Statistics & Probability Letters, Elsevier, vol. 36(1), pages 85-90, November.
    • Handle: RePEc:eee:stapro:v:36:y:1997:i:1:p:85-90
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    Cited by:

    1. Liesa Denecke & Christine Müller, 2014. "New robust tests for the parameters of the Weibull distribution for complete and censored data," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(5), pages 585-607, July.

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