Nonlinear Regression and the Principle of Least Squares: A Method of Evaluating the Constants and a New Method for Calculating Variances and Covariances
Robert E. Barieau · Bill Jack Dalton
Jan 1967 · U.S. Department of the Interior, Bureau of Mines
Ebook
21
Pages
About this ebook
This report gives the principles of the method used by the Helium Research Center of the Bureau of Mines when solving nonlinear-regression problems and contains the mathematical equations necessary to accomplish the following objectives: the evaluation of the parameters in such a way that the sum of the weighted squares of the residuals of an experimental observable is a true minimum, regardless of the functional relationship between the variables and these parameters; and the evaluation of all variances and covariances of the parameters by means of the usual approximation of the law for the propagation of errors.
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