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The bias of least squares polynomial interpolants. (English) Zbl 0743.62055
Summary: The fitting of a straight line — or more generally of a low degree polynomial — to a point cloud in the plane is a commonly performed statistical technique. This paper discusses the bias of such a procedure and in particular generalizes the well-known remainder formula for polynomial interpolation to the regression setting. Designs minimizing the maximum bias are discussed as well.
62J02 General nonlinear regression
62K05 Optimal statistical designs
65D05 Numerical interpolation
65D10 Numerical smoothing, curve fitting
Full Text: DOI EuDML
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