Least squares fitting Gaussian type curve
Copyright policy )Least squares fitting Gaussian type curve
Given the data (p_i, t_i, y_i), i=1, ..., m, m>=3, we give necessary and sufficient conditions which guarantee the existence of the weighted least squares estimate for a Gaussian type function. To this end, we suggest a choice of the suitable initial approximation for an iterative minimization, and give some numerical examples.
Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), nonlinear least squares, weighted least squares fitting, least squares estimate, Computation of special functions and constants, construction of tables, Gaussian function, Gaussian function; nonlinear least squares; least squares estimate; existence problem, Numerical smoothing, curve fitting, Numerical approximation and evaluation of special functions, numerical experiments, existence problem
Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), nonlinear least squares, weighted least squares fitting, least squares estimate, Computation of special functions and constants, construction of tables, Gaussian function, Gaussian function; nonlinear least squares; least squares estimate; existence problem, Numerical smoothing, curve fitting, Numerical approximation and evaluation of special functions, numerical experiments, existence problem
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