Premium
Approximation formulas for least‐squares fitting of functions of the form f [ μ( x − x 0 )]
Author(s) -
Jette David
Publication year - 1982
Publication title -
medical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.473
H-Index - 180
eISSN - 2473-4209
pISSN - 0094-2405
DOI - 10.1118/1.595056
Subject(s) - mathematics , least squares function approximation , non linear least squares , nonlinear regression , mathematical analysis , explained sum of squares , combinatorics , regression analysis , statistics , estimator
Approximation formulas have been developed for least‐squares fitting of functions of the form f [ μ( x − x 0 )]. In particular, formulas are given for determining the best‐fit parameter values for the Laughlin and Shabason–Hendee representations of central‐axis depth dose of electron teletherapy beams. Comparison with exact values obtained through nonlinear least‐squares regression analysis, for the Laughlin and Shabason–Hendee representations applied to standard data sets, demonstrates that these approximation formulas are highly accurate.