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The determination of non-linear parameters and...
Journal article

The determination of non-linear parameters and their standard deviations from least-squares residuals

Abstract

The mathematical relationship existing between the sum of the squares of weighted residuals, χ2 and the parameters determined by least-squares fitting procedures is investigated. This relationship is shown to contain explicity the variance of the calculated parameters. Examples are given in which this formulation is used in the least-squares estimation of non-linear parameters and their standard deviations.

Authors

Archer NP; Prestwich WV; Keech GL

Journal

Nuclear Instruments and Methods, Vol. 44, No. 1, pp. 114–118

Publisher

Elsevier

Publication Date

September 1966

DOI

10.1016/0029-554x(66)90443-5

ISSN

0029-554X