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dc.contributor.authorDavies, Ian
dc.date.accessioned2017-11-24T05:26:42Z
dc.date.available2017-11-24T05:26:42Z
dc.date.created2017-11-24T04:48:49Z
dc.date.issued2017
dc.identifier.citationDavies, I. 2017. Unbiased estimation of the Weibull scale parameter using linear least squares analysis. Journal of European Ceramic Society. 37 (8): pp. 2973-2981.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/58642
dc.identifier.doi10.1016/j.jeurceramsoc.2017.03.015
dc.description.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.

dc.publisherElsevier Ltd
dc.titleUnbiased estimation of the Weibull scale parameter using linear least squares analysis
dc.typeJournal Article
dcterms.source.volume37
dcterms.source.number8
dcterms.source.startPage2973
dcterms.source.endPage2981
dcterms.source.issn0955-2219
dcterms.source.titleJournal of European Ceramic Society
curtin.departmentDepartment of Mechanical Engineering
curtin.accessStatusFulltext not available


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