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.
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Acknowledgement. I am grateful to Hans Schneeweiss for suggesting a strengthened form of the definition of f in Section 4.
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Watson, G. On the linear statistical relationship. Metrika 57, 105–114 (2003). https://doi.org/10.1007/s001840200202
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DOI: https://doi.org/10.1007/s001840200202