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I.—On Fitting Polynomials to Weighted Data by Least Squares

Published online by Cambridge University Press:  15 September 2014

A. C. Aitken
A. C. Aitken
Affiliation:
University of Edinburgh
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Extract

The present paper continues the study, initiated in a previous paper, of methods of fitting polynomials to data by least squares, with the aim of systematising the numerical procedure. The case considered here is that of unequally weighted data. A further paper will deal with the still more general case of weighted and correlated data. The numerical methods put forward for the three cases are quite different, and the only common point in the theory is the use of orthogonal polynomials.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 54 , 1935 , pp. 1 - 11
Copyright
Copyright © Royal Society of Edinburgh 1935

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References

References to Literature

Aitken, A. C., 1932. Proc. Roy. Soc. Edin., vol. liii, pp. 54–78.Google Scholar
Chotimsky, V. 1925. Graduation of Statistical Series by Least Squares (Tchebychef's Method) (in Russian). Moscow and Leningrad.Google Scholar
Isserlis, L., 1927. Biometrika, vol. xix, pp. 87–93.Google Scholar