least-squares estimator

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• Least squares — The method of least squares is a standard approach to the approximate solution of overdetermined systems, i.e., sets of equations in which there are more equations than unknowns. Least squares means that the overall solution minimizes the sum of… …   Wikipedia

• Least-squares estimation of linear regression coefficients — In parametric statistics, the least squares estimator is often used to estimate the coefficients of a linear regression. The least squares estimator optimizes a certain criterion (namely it minimizes the sum of the square of the residuals). In… …   Wikipedia

• Ordinary least squares — This article is about the statistical properties of unweighted linear regression analysis. For more general regression analysis, see regression analysis. For linear regression on a single variable, see simple linear regression. For the… …   Wikipedia

• Linear least squares (mathematics) — This article is about the mathematics that underlie curve fitting using linear least squares. For statistical regression analysis using least squares, see linear regression. For linear regression on a single variable, see simple linear regression …   Wikipedia

• Linear least squares — is an important computational problem, that arises primarily in applications when it is desired to fit a linear mathematical model to measurements obtained from experiments. The goals of linear least squares are to extract predictions from the… …   Wikipedia

• Linear least squares/Proposed — Linear least squares is an important computational problem, that arises primarily in applications when it is desired to fit a linear mathematical model to observations obtained from experiments. Mathematically, it can be stated as the problem of… …   Wikipedia

• Feasible generalized least squares — (FGLS or Feasible GLS) is a regression technique. It is similar to generalized least squares except that it uses an estimated variance covariance matrix since the true matrix is not known directly.The following description follows loosely the… …   Wikipedia

• Iteratively re-weighted least squares — The method of iteratively re weighted least squares (IRLS) is a numerical algorithm for minimizing any specified objective function using a standard weighted least squares method such as Gaussian elimination. Whereas techniques are widely… …   Wikipedia

• Ordinary Least Squares — Die Regressionsanalyse ist ein statistisches Analyseverfahren. Ziel ist es, Beziehungen zwischen einer abhängigen und einer oder mehreren unabhängigen Variablen festzustellen. Allgemein wird eine metrische Variable Y betrachtet, die von einer… …   Deutsch Wikipedia

• Least mean squares filter — Least mean squares (LMS) algorithms are a class of adaptive filter used to mimic a desired filter by finding the filter coefficients that relate to producing the least mean squares of the error signal (difference between the desired and the… …   Wikipedia

• estimator — A prescription for obtaining an estimate from a random sample of data. An e. is a procedure, not a result, and therefore is a random variable and has a variance. For instance an e. of the mean weight in adult …   Medical dictionary