The Fitting of Polynomials by the Method of Weighted Grouping

Guest, P. G.

Guest, P. G.

Ann. Math. Statist., Tome 22 (1951) no. 4, p. 537-548 / Harvested from Project Euclid

Résumé

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.

Publié le : 1951-12-14
Classification:

@article{1177729543,
     author = {Guest, P. G.},
     title = {The Fitting of Polynomials by the Method of Weighted Grouping},
     journal = {Ann. Math. Statist.},
     volume = {22},
     number = {4},
     year = {1951},
     pages = { 537-548},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177729543}
}

Guest, P. G. The Fitting of Polynomials by the Method of Weighted Grouping. Ann. Math. Statist., Tome 22 (1951) no. 4, pp.  537-548. http://gdmltest.u-ga.fr/item/1177729543/