“least squares, method of”的概念、定义、翻译、参考文献-科学参考

least squares, method of

Computer

单词	least squares, method of
释义	least squares, method of Computer A method of estimating parameters in a model by minimizing the sum of squares of differences between observed and theoretical values of a variable. If $y_{i}, i = 1, \dots, n,$ is a sample of n observations, and μ‎_i is a set of theoretical values corresponding to a set of unknown parameters, θ‎, and a set of known associated observations, x_i, then the criterion to be minimized with respect to variations in θ‎ is the sum of squares, $Σ {(y_{i} - μ_{i})}^{2}$ The values of θ‎ at which the minimum occurs are known as least squares estimates. The method of weighted least squares is used when each observation is associated with a weight, w_i (see measures of location), and the criterion to be minimized is $Σ w_{i} {(y_{i} - μ_{i})}^{2}$ See also likelihood, regression analysis.
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