On the existence of the nonlinear weighted least squares estimate for a three-parameter Weibull distribution

Dragan Jukic, Mirta Bensic and Rudolf Scitovski

Computational Statistics & Data Analysis, 2008, vol. 52, issue 9, 4502-4511

Abstract: The problem of nonlinear weighted least squares fitting of the three-parameter Weibull distribution to the given data (wi,ti,yi), i=1,...,n, is considered. The part wi>0 of the data stands for the data weights. It is shown that the best least squares estimate exists provided that the data satisfy just the following two natural conditions: (i) 0

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:52:y:2008:i:9:p:4502-4511

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