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- Gauss–Markov_theorem abstract "In statistics, the Gauss–Markov theorem, named after Carl Friedrich Gauss and Andrey Markov, states that in a linear regression model in which the errors have expectation zero and are uncorrelated and have equal variances, the best linear unbiased estimator (BLUE) of the coefficients is given by the ordinary least squares (OLS) estimator. Here "best" means giving the lowest variance of the estimate, as compared to other unbiased, linear estimators. The errors do not need to be normal, nor do they need to be independent and identically distributed (only uncorrelated with mean zero and homoscedastic with finite variance). The requirement that the estimator be unbiased cannot be dropped, since biased estimators exist with lower variance. See, for example, the James–Stein estimator (which also drops linearity) or ridge regression.".
- Gauss–Markov_theorem wikiPageExternalLink index.html.
- Gauss–Markov_theorem wikiPageExternalLink g.html.
- Gauss–Markov_theorem wikiPageExternalLink ols1.htm.
- Gauss–Markov_theorem wikiPageID "170353".
- Gauss–Markov_theorem wikiPageLength "14881".
- Gauss–Markov_theorem wikiPageOutDegree "44".
- Gauss–Markov_theorem wikiPageRevisionID "678931975".
- Gauss–Markov_theorem wikiPageWikiLink Alexander_Aitken.
- Gauss–Markov_theorem wikiPageWikiLink Andrey_Markov.
- Gauss–Markov_theorem wikiPageWikiLink Autocorrelation.
- Gauss–Markov_theorem wikiPageWikiLink Best_linear_unbiased_prediction.
- Gauss–Markov_theorem wikiPageWikiLink Bias_of_an_estimator.
- Gauss–Markov_theorem wikiPageWikiLink Biometrika.
- Gauss–Markov_theorem wikiPageWikiLink Carl_Friedrich_Gauss.
- Gauss–Markov_theorem wikiPageWikiLink Category:Statistical_theorems.
- Gauss–Markov_theorem wikiPageWikiLink Cobb–Douglas_production_function.
- Gauss–Markov_theorem wikiPageWikiLink Data_transformation_(statistics).
- Gauss–Markov_theorem wikiPageWikiLink Econometrics.
- Gauss–Markov_theorem wikiPageWikiLink Endogeneity_(econometrics).
- Gauss–Markov_theorem wikiPageWikiLink Endogeneity_(economics).
- Gauss–Markov_theorem wikiPageWikiLink Errors_and_residuals.
- Gauss–Markov_theorem wikiPageWikiLink Errors_and_residuals_in_statistics.
- Gauss–Markov_theorem wikiPageWikiLink Estimator.
- Gauss–Markov_theorem wikiPageWikiLink Functional_form.
- Gauss–Markov_theorem wikiPageWikiLink Gauss–Markov_process.
- Gauss–Markov_theorem wikiPageWikiLink Generalized_least_squares.
- Gauss–Markov_theorem wikiPageWikiLink Higher-order_function.
- Gauss–Markov_theorem wikiPageWikiLink Homoscedastic.
- Gauss–Markov_theorem wikiPageWikiLink Homoscedasticity.
- Gauss–Markov_theorem wikiPageWikiLink If_and_only_if.
- Gauss–Markov_theorem wikiPageWikiLink Independent_and_identically_distributed.
- Gauss–Markov_theorem wikiPageWikiLink Independent_and_identically_distributed_random_variables.
- Gauss–Markov_theorem wikiPageWikiLink Instrumental_variable.
- Gauss–Markov_theorem wikiPageWikiLink James–Stein_estimator.
- Gauss–Markov_theorem wikiPageWikiLink Linear_regression.
- Gauss–Markov_theorem wikiPageWikiLink Linear_regression_model.
- Gauss–Markov_theorem wikiPageWikiLink Mean_squared_error.
- Gauss–Markov_theorem wikiPageWikiLink Measurement_uncertainty.
- Gauss–Markov_theorem wikiPageWikiLink Minimum-variance_unbiased_estimator.
- Gauss–Markov_theorem wikiPageWikiLink Natural_logarithm.
- Gauss–Markov_theorem wikiPageWikiLink Normal_distribution.
- Gauss–Markov_theorem wikiPageWikiLink Omitted-variable_bias.
- Gauss–Markov_theorem wikiPageWikiLink Ordinary_least_squares.
- Gauss–Markov_theorem wikiPageWikiLink Rank_(linear_algebra).
- Gauss–Markov_theorem wikiPageWikiLink Ridge_regression.
- Gauss–Markov_theorem wikiPageWikiLink Simultaneity.
- Gauss–Markov_theorem wikiPageWikiLink Statistics.
- Gauss–Markov_theorem wikiPageWikiLink Tikhonov_regularization.
- Gauss–Markov_theorem wikiPageWikiLink Transpose.
- Gauss–Markov_theorem wikiPageWikiLink Uncorrelated.
- Gauss–Markov_theorem wikiPageWikiLink Uncorrelated_random_variables.
- Gauss–Markov_theorem wikiPageWikiLink Variance.
- Gauss–Markov_theorem wikiPageWikiLinkText "Best linear unbiased estimator".
- Gauss–Markov_theorem wikiPageWikiLinkText "Gauss Markov theorem".
- Gauss–Markov_theorem wikiPageWikiLinkText "Gauss–Markov theorem".
- Gauss–Markov_theorem wikiPageWikiLinkText "Gauss-Markov theorem".
- Gauss–Markov_theorem wikiPageWikiLinkText "Gauss-Markov".
- Gauss–Markov_theorem wikiPageWikiLinkText "Gauss–Markov theorem".
- Gauss–Markov_theorem wikiPageWikiLinkText "Gauss–Markov".
- Gauss–Markov_theorem wikiPageWikiLinkText "best linear unbiased estimates".
- Gauss–Markov_theorem wikiPageWikiLinkText "best linear unbiased estimator".
- Gauss–Markov_theorem hasPhotoCollection Gauss–Markov_theorem.
- Gauss–Markov_theorem wikiPageUsesTemplate Template:Cite_journal.
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- Gauss–Markov_theorem wikiPageUsesTemplate Template:Least_squares_and_regression_analysis.
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- Gauss–Markov_theorem wikiPageUsesTemplate Template:Refbegin.
- Gauss–Markov_theorem wikiPageUsesTemplate Template:Refend.
- Gauss–Markov_theorem wikiPageUsesTemplate Template:Regression_bar.
- Gauss–Markov_theorem wikiPageUsesTemplate Template:Sfn.
- Gauss–Markov_theorem subject Category:Statistical_theorems.
- Gauss–Markov_theorem type Thing.
- Gauss–Markov_theorem comment "In statistics, the Gauss–Markov theorem, named after Carl Friedrich Gauss and Andrey Markov, states that in a linear regression model in which the errors have expectation zero and are uncorrelated and have equal variances, the best linear unbiased estimator (BLUE) of the coefficients is given by the ordinary least squares (OLS) estimator. Here "best" means giving the lowest variance of the estimate, as compared to other unbiased, linear estimators.".
- Gauss–Markov_theorem label "Gauss–Markov theorem".
- Gauss–Markov_theorem differentFrom Gauss–Markov_process.
- Gauss–Markov_theorem sameAs مبرهنة_غاوس-ماركوف.
- Gauss–Markov_theorem sameAs Teorema_de_Gauss-Markov.
- Gauss–Markov_theorem sameAs Satz_von_Gauß-Markow.
- Gauss–Markov_theorem sameAs Teorema_de_Gauss-Márkov.
- Gauss–Markov_theorem sameAs قضیه_گوس-مارکف.
- Gauss–Markov_theorem sameAs Théorème_de_Gauss-Markov.
- Gauss–Markov_theorem sameAs Teorema_di_Gauss-Markov.
- Gauss–Markov_theorem sameAs ガウス=マルコフの定理.
- Gauss–Markov_theorem sameAs m.016t_z.
- Gauss–Markov_theorem sameAs Теорема_Гаусса_—_Маркова.
- Gauss–Markov_theorem sameAs Gauss–Markovs_sats.
- Gauss–Markov_theorem sameAs Q428134.
- Gauss–Markov_theorem sameAs Q428134.
- Gauss–Markov_theorem sameAs 高斯-马尔可夫定理.
- Gauss–Markov_theorem wasDerivedFrom Gauss–Markov_theorem?oldid=678931975.
- Gauss–Markov_theorem isPrimaryTopicOf Gauss–Markov_theorem.