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- Polynomial_least_squares abstract "In mathematical statistics, polynomial least squares refers to a broad range of statistical methods for estimating an underlying polynomial that describes observations. These methods include polynomial regression, curve fitting, linear regression, least squares, ordinary least squares, simple linear regression, linear least squares, approximation theory and method of moments. Polynomial least squares has applications in radar trackers, estimation theory, signal processing, statistics, and econometrics.Two common applications of polynomial least squares methods are approximating a low-degree polynomial that approximates a complicated function and estimating an assumed underlying polynomial from corrupted (also known as "noisy") observations. The former is commonly used in statistics and econometrics to fit a scatter plot with a first degree polynomial (that is, a line). The latter is commonly used in target tracking in the form of Kalman filtering, which is effectively a recursive implementation of polynomial least squares. Estimating an assumed underlying deterministic polynomial can be used in econometrics as well. In effect, both applications produce average curves as generalizations of the common average of a set of numbers, which is equivalent to zero degree polynomial least squares.In the above applications, the term "approximate" is used when no statistical measurement or observation errors are assumed, as when fitting a scatter plot. The term "estimate", derived from statistical estimation theory, is used when assuming that measurements or observations of a polynomial are corrupted.".
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- Polynomial_least_squares wikiPageLength "18498".
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- Polynomial_least_squares wikiPageRevisionID "680687133".
- Polynomial_least_squares wikiPageWikiLink Approximation_theory.
- Polynomial_least_squares wikiPageWikiLink Average.
- Polynomial_least_squares wikiPageWikiLink Category:Least_squares.
- Polynomial_least_squares wikiPageWikiLink Curve_fitting.
- Polynomial_least_squares wikiPageWikiLink Econometrics.
- Polynomial_least_squares wikiPageWikiLink Estimation_theory.
- Polynomial_least_squares wikiPageWikiLink Expected_value.
- Polynomial_least_squares wikiPageWikiLink Gaussian.
- Polynomial_least_squares wikiPageWikiLink Kalman_filter.
- Polynomial_least_squares wikiPageWikiLink Kalman_filtering.
- Polynomial_least_squares wikiPageWikiLink Least_squares.
- Polynomial_least_squares wikiPageWikiLink Linear_least_squares.
- Polynomial_least_squares wikiPageWikiLink Linear_least_squares_(mathematics).
- Polynomial_least_squares wikiPageWikiLink Linear_regression.
- Polynomial_least_squares wikiPageWikiLink Linearity.
- Polynomial_least_squares wikiPageWikiLink List_of_things_named_after_Carl_Friedrich_Gauss.
- Polynomial_least_squares wikiPageWikiLink Mathematical_statistics.
- Polynomial_least_squares wikiPageWikiLink Mean.
- Polynomial_least_squares wikiPageWikiLink Method_of_moments.
- Polynomial_least_squares wikiPageWikiLink Method_of_moments_(statistics).
- Polynomial_least_squares wikiPageWikiLink Multi-fractional_order_estimator.
- Polynomial_least_squares wikiPageWikiLink Normal_equations.
- Polynomial_least_squares wikiPageWikiLink Ordinary_least_squares.
- Polynomial_least_squares wikiPageWikiLink Orthogonality_principle.
- Polynomial_least_squares wikiPageWikiLink Polynomial.
- Polynomial_least_squares wikiPageWikiLink Polynomial_regression.
- Polynomial_least_squares wikiPageWikiLink Probability_distribution.
- Polynomial_least_squares wikiPageWikiLink Probability_distributions.
- Polynomial_least_squares wikiPageWikiLink Radar_tracker.
- Polynomial_least_squares wikiPageWikiLink Random_variable.
- Polynomial_least_squares wikiPageWikiLink Random_variables.
- Polynomial_least_squares wikiPageWikiLink Scatter_plot.
- Polynomial_least_squares wikiPageWikiLink Signal_processing.
- Polynomial_least_squares wikiPageWikiLink Simple_linear_regression.
- Polynomial_least_squares wikiPageWikiLink Statistics.
- Polynomial_least_squares wikiPageWikiLink Stochastic_process.
- Polynomial_least_squares wikiPageWikiLink Variance.
- Polynomial_least_squares wikiPageWikiLinkText "Polynomial least squares".
- Polynomial_least_squares wikiPageWikiLinkText "polynomial least squares".
- Polynomial_least_squares hasPhotoCollection Polynomial_least_squares.
- Polynomial_least_squares wikiPageUsesTemplate Template:Reflist.
- Polynomial_least_squares subject Category:Least_squares.
- Polynomial_least_squares comment "In mathematical statistics, polynomial least squares refers to a broad range of statistical methods for estimating an underlying polynomial that describes observations. These methods include polynomial regression, curve fitting, linear regression, least squares, ordinary least squares, simple linear regression, linear least squares, approximation theory and method of moments.".
- Polynomial_least_squares label "Polynomial least squares".
- Polynomial_least_squares sameAs m.0130qd4k.
- Polynomial_least_squares wasDerivedFrom Polynomial_least_squares?oldid=680687133.
- Polynomial_least_squares isPrimaryTopicOf Polynomial_least_squares.