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December, 1951 The Fitting of Polynomials by the Method of Weighted Grouping
P. G. Guest
Ann. Math. Statist. 22(4): 537-548 (December, 1951). DOI: 10.1214/aoms/1177729543


A method of fitting polynomials to equally spaced data is developed which is more rapid than the method of least squares. The orthogonal polynomial $T_j(x)$ of the least squares method is replaced by a step function $w_j(x),$ and this greatly reduces the number of multiplications. An efficiency of about 90 per cent is obtained for the estimates of the coefficients and fitted values.


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P. G. Guest. "The Fitting of Polynomials by the Method of Weighted Grouping." Ann. Math. Statist. 22 (4) 537 - 548, December, 1951.


Published: December, 1951
First available in Project Euclid: 28 April 2007

zbMATH: 0045.22001
MathSciNet: MR44811
Digital Object Identifier: 10.1214/aoms/1177729543

Rights: Copyright © 1951 Institute of Mathematical Statistics

Vol.22 • No. 4 • December, 1951
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