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December, 1960 An Associated Polynomial for Least Squares Approximations
Richard Warren
Ann. Math. Statist. 31(4): 969-981 (December, 1960). DOI: 10.1214/aoms/1177705670


Tabular reconstruction of differences from a curtailed set of moments is ordinarily impossible because of a gap on the integral side of the difference table. This gap can be closed by substituting an associated polynomial for the one that is being operated upon. The associated polynomial has, at the end of a contracted range, terminal differences and moments individually proportional to corresponding differences and moments of the polynomial from which it was derived. The function is applied to the problem of matching moments to form least squares approximations.


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Richard Warren. "An Associated Polynomial for Least Squares Approximations." Ann. Math. Statist. 31 (4) 969 - 981, December, 1960.


Published: December, 1960
First available in Project Euclid: 27 April 2007

zbMATH: 0098.09703
MathSciNet: MR130092
Digital Object Identifier: 10.1214/aoms/1177705670

Rights: Copyright © 1960 Institute of Mathematical Statistics

Vol.31 • No. 4 • December, 1960
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