A Note on Weighted Least-squares Estimation of the Shape Parameter of the Weibull Distribution

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Title:	A Note on Weighted Least-squares Estimation of the Shape Parameter of the Weibull Distribution
Authors:	Lu, H. L.;Chen, C. H.;吳忠武;Wu, Jong-wuu
Contributors:	淡江大學統計學系
Keywords:	Weibull distribution;weighted least-squares estimator;order statistics;Monte Carlo simulation;shape parameter
Date:	2004-10
Issue Date:	2009-11-30 12:53:13 (UTC+8)
Publisher:	Wiley-Blackwell
Abstract:	This study proposes an alternative to the weighted least-squares (WLS) procedure for estimating the shape parameter of the Weibull distribution. Bergman (Journal of Materials Science Letters 1986; 5:611–614), Faucher and Tyson (F&T) (Journal of Materials Science Letters 1988; 7:1199–1203) suggested using different WLS approaches for Weibull parameters. However, the simulation results show that the novel approach is better than that of Bergman, and is not significantly different from that of F&T. Furthermore, the novel approach is also simpler and easier to comprehend.
Relation:	Quality and Reliability Engineering International 20(6), pp.579-586
DOI:	10.1002/qre.570
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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