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dc.contributor.authorDavies, Ian
dc.identifier.citationDavies, I. 2017. Confidence limits for Weibull parameters estimated using linear least squares analysis. Journal of European Ceramic Society. 37 (15): pp. 5057-5064.

© 2017 Elsevier Ltd Confidence limits (at selected levels of 68.27%, 90%, 95% and 99%) for unbiased estimation of Weibull parameters obtained using linear least squares (LLS) analysis were investigated in this paper. A Monte Carlo procedure was used to obtain probability distributions for unbiased estimates of Weibull modulus, m, and Weibull scale parameter, S o , as a function of total specimen number, N (10 = N = 200), and m (1 = m = 25). Inspection of the probability distributions indicated that confidence limits for m depended only on N whereas those for S o depended on both N and m. Whilst the determination of confidence limits for m proved to be relatively straightforward, the respective values for S o were obtained by fitting an empirical equation to the S o probability distributions approximated by a Gaussian curve. Example values of m and S o confidence limits for selected N have been presented in this work.

dc.publisherElsevier Ltd
dc.titleConfidence limits for Weibull parameters estimated using linear least squares analysis
dc.typeJournal Article
dcterms.source.titleJournal of European Ceramic Society
curtin.departmentDepartment of Mechanical Engineering
curtin.accessStatusFulltext not available

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