Analysis of the stability of nonlinear regression models to errors in measured data

Abstract

In order to reconstruct a nonlinear dependence of the refractive index of a medium on the wavelength, a set of inductively generated models for choosing the optimal one is considered. An algorithm for the inductive generation of admissible nonlinear models is applied. A criterion for determining the error in the coefficients of the generated models, which is referred to as stability, and a method for estimating the stability of the solution are proposed. The results of numerical simulation on the data obtained in an experiment on determining the composition of a mixture from its total dispersion are presented.