On the linear statistical relationship |
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Authors: | G. A. Watson |
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Affiliation: | (1) Department of Mathematics, University of Dundee, Dundee DD1 4HN, Scotland (e-mail: gawatson@maths.dundee.ac.uk), GB |
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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. |
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Keywords: | : linear statistical relationship known precision ratio Maximum Likelihood Estimate orthogonal distance regression |
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