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On the linear statistical relationship
Authors:G A Watson
Institution:(1) Department of Mathematics, University of Dundee, Dundee DD1 4HN, Scotland (e-mail: gawatson@maths.dundee.ac.uk), GB
Abstract:The fitting of lines to data, when the relative precision of the measured data is a known constant, is a problem which is of some interest, for example in comparison of measurement procedures. We examine some ways of treating this problem with a view to clarifying the relationship of solutions with the Maximum Likelihood Estimate. Acknowledgement. I am grateful to Hans Schneeweiss for suggesting a strengthened form of the definition of f in Section 4.
Keywords:: linear statistical relationship  known precision ratio  Maximum Likelihood Estimate  orthogonal distance regression
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