Least squares fitting Gaussian type curve

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摘要

Given the data (pi, ti, yi), 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.

论文关键词:Gaussian function,Nonlinear least squares,Least squares estimate,Existence problem

论文评审过程:Available online 17 November 2004.

论文官网地址:https://doi.org/10.1016/j.amc.2004.06.084