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On expectations associated with maximum likelihood estimation in the Weibull distribution

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Summary

This short paper outlines a framework for deriving the expectations associated with maximum likelihood estimation in the two parameter Weibull distribution; these expectations involve tenns appearing in the derivates of the Weibull probability density function. This framework allows known results to be presented in a unified manner. For standard likelihood considerations, interests centres on the frrst and second order derivatives; however, we also give the expectations of third derivatives, which appear in more advanced likelihood-based results.

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Authors and Affiliations

  1. Statistics and OR Group, EBMS, University of Wales, Swansea, Singleton Park, SA2 8PP, Swansea, UK

    A. J. Watkins

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  1. A. J. Watkins
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Correspondence to A. J. Watkins.

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Watkins, A.J. On expectations associated with maximum likelihood estimation in the Weibull distribution. J. Ital. Statist. Soc. 7, 15 (1998). https://doi.org/10.1007/BF03178919

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  • DOI: https://doi.org/10.1007/BF03178919

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