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    Unbiased estimation of the Weibull scale parameter using linear least squares analysis

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    Fulltext not available
    Authors
    Davies, Ian
    Date
    2017
    Type
    Journal Article
    
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    Citation
    Davies, I. 2017. Unbiased estimation of the Weibull scale parameter using linear least squares analysis. Journal of European Ceramic Society. 37 (8): pp. 2973-2981.
    Source Title
    Journal of European Ceramic Society
    DOI
    10.1016/j.jeurceramsoc.2017.03.015
    ISSN
    0955-2219
    School
    Department of Mechanical Engineering
    URI
    http://hdl.handle.net/20.500.11937/58642
    Collection
    • Curtin Research Publications
    Abstract

    © 2017 Elsevier Ltd Unbiased estimation of the Weibull scale parameter using unweighted linear least squares (LLS) analysis was investigated in this work as a function of specimen number, N. Mean, median and mode values of the Weibull scale parameter were estimated using a Monte Carlo procedure and general probability estimator of F = (i – a)/(N + b) with a and b varying between zero and unity. Unlike the mean and mode cases, the median value of Weibull scale parameter was essentially independent of Weibull modulus, m, with the coefficient of variation decreasing with b and being a factor of five smaller compared to that of m. Optimum values of a as a function of N were obtained using the median of the Weibull scale parameter with a being found to vary between 0.4796 for N = 10 and 0.2698 for N = 200 with b = 0.

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