Work

The Fitting of Polynomials by the Method of Weighted Grouping

Year: 1951

Type: article

Abstract: 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.

Source: The Annals of Mathematical Statistics

DOI: 10.1214/aoms/1177729543

Author: P. G. Guest

Language: English

Topic: Statistical and numerical algorithms

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2020650357

FWCI:

Cites: 1

Cited by: 1

Related to: 10