Unbiased estimation of Weibull modulus using linear least squares analysis—A systematic approach
|dc.identifier.citation||Davies, I. 2017. Unbiased estimation of Weibull modulus using linear least squares analysis—A systematic approach. Journal of European Ceramic Society. 37 (1): pp. 369-380.|
© 2016 Elsevier Ltd The wide applicability of the Weibull distribution to fields such as hydrology and materials science has led to a large number of probability estimators being proposed, in particular for the widely used technique of obtaining the Weibull modulus, m, using unweighted linear least squares (LLS) analysis. In this work a systematic approach using the Monte Carlo method has been taken to determining the optimal probability estimators for unbiased estimation of m (mean, median and mode) using the general equation F=(i-a)/(N+b) whilst simultaneously minimising the coefficient of variation for each of the average values. A wide range of a and b values were investigated within the region 0=a=1 and 1=b=1000 with the form of F=(i-a)/(N+1) being chosen as the recommend probability estimator equation due to its simplicity and relatively small coefficient of variation. Values of a as a function of N were presented for the mean, median and mode m values.
|dc.title||Unbiased estimation of Weibull modulus using linear least squares analysis—A systematic approach|
|dcterms.source.title||Journal of European Ceramic Society|
|curtin.department||Department of Mechanical Engineering|
|curtin.accessStatus||Fulltext not available|
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