Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Bias_of_an_estimator> ?p ?o }
- Bias_of_an_estimator abstract "In statistics, the bias (or bias function) of an estimator is the difference between this estimator's expected value and the true value of the parameter being estimated. An estimator or decision rule with zero bias is called unbiased. Otherwise the estimator is said to be biased. In statistics, \"bias\" is an objective statement about a function, and while not a desired property, it is not pejorative, unlike the ordinary English use of the term \"bias\".Bias can also be measured with respect to the median, rather than the mean (expected value), in which case one distinguishes median-unbiased from the usual mean-unbiasedness property. Bias is related to consistency in that consistent estimators are convergent and asymptotically unbiased (hence converge to the correct value), though individual estimators in a consistent sequence may be biased (so long as the bias converges to zero); see bias versus consistency.All else equal, an unbiased estimator is preferable to a biased estimator, but in practice all else is not equal, and biased estimators are frequently used, generally with small bias. When a biased estimator is used, the bias is also estimated. A biased estimator may be used for various reasons: because an unbiased estimator does not exist without further assumptions about a population or is difficult to compute (as in unbiased estimation of standard deviation); because an estimator is median-unbiased but not mean-unbiased (or the reverse); because a biased estimator reduces some loss function (particularly mean squared error) compared with unbiased estimators (notably in shrinkage estimators); or because in some cases being unbiased is too strong a condition, and the only unbiased estimators are not useful. Further, mean-unbiasedness is not preserved under non-linear transformations, though median-unbiasedness is (see effect of transformations); for example, the sample variance is an unbiased estimator for the population variance, but its square root, the sample standard deviation, is a biased estimator for the population standard deviation. These are all illustrated below.".
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- Bias_of_an_estimator wikiPageWikiLink Absolute_value.
- Bias_of_an_estimator wikiPageWikiLink Allan_Birnbaum.
- Bias_of_an_estimator wikiPageWikiLink Average_absolute_deviation.
- Bias_of_an_estimator wikiPageWikiLink Bayes_theorem.
- Bias_of_an_estimator wikiPageWikiLink Bayesian_statistics.
- Bias_of_an_estimator wikiPageWikiLink Bessels_correction.
- Bias_of_an_estimator wikiPageWikiLink Bias_(disambiguation).
- Bias_of_an_estimator wikiPageWikiLink Carl_Friedrich_Gauss.
- Bias_of_an_estimator wikiPageWikiLink Category:Bias.
- Bias_of_an_estimator wikiPageWikiLink Category:Point_estimation_performance.
- Bias_of_an_estimator wikiPageWikiLink Category:Statistical_theory.
- Bias_of_an_estimator wikiPageWikiLink Characterizations_of_the_exponential_function.
- Bias_of_an_estimator wikiPageWikiLink Chi-squared_distribution.
- Bias_of_an_estimator wikiPageWikiLink Concave_function.
- Bias_of_an_estimator wikiPageWikiLink Consistent_estimator.
- Bias_of_an_estimator wikiPageWikiLink Convex_function.
- Bias_of_an_estimator wikiPageWikiLink Decision_theory.
- Bias_of_an_estimator wikiPageWikiLink Erich_Leo_Lehmann.
- Bias_of_an_estimator wikiPageWikiLink Estimation_theory.
- Bias_of_an_estimator wikiPageWikiLink Estimator.
- Bias_of_an_estimator wikiPageWikiLink Expected_loss.
- Bias_of_an_estimator wikiPageWikiLink Expected_value.
- Bias_of_an_estimator wikiPageWikiLink Independent_and_identically_distributed_random_variables.
- Bias_of_an_estimator wikiPageWikiLink Injective_function.
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- Bias_of_an_estimator wikiPageWikiLink Likelihood_function.
- Bias_of_an_estimator wikiPageWikiLink Loss_function.
- Bias_of_an_estimator wikiPageWikiLink Maximum_likelihood.
- Bias_of_an_estimator wikiPageWikiLink Mean_signed_deviation.
- Bias_of_an_estimator wikiPageWikiLink Mean_squared_error.
- Bias_of_an_estimator wikiPageWikiLink Median.
- Bias_of_an_estimator wikiPageWikiLink Omitted-variable_bias.
- Bias_of_an_estimator wikiPageWikiLink Optimism_bias.
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- Bias_of_an_estimator wikiPageWikiLink Pivotal_quantity.
- Bias_of_an_estimator wikiPageWikiLink Poisson_distribution.
- Bias_of_an_estimator wikiPageWikiLink Prior_probability.
- Bias_of_an_estimator wikiPageWikiLink Risk_(statistics).
- Bias_of_an_estimator wikiPageWikiLink Robust_statistics.
- Bias_of_an_estimator wikiPageWikiLink Sample_mean_and_covariance.
- Bias_of_an_estimator wikiPageWikiLink Scaled_inverse_chi-squared_distribution.
- Bias_of_an_estimator wikiPageWikiLink Shrinkage_estimator.
- Bias_of_an_estimator wikiPageWikiLink Square_root.
- Bias_of_an_estimator wikiPageWikiLink Standard_deviation.
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- Bias_of_an_estimator wikiPageWikiLink Statistics.
- Bias_of_an_estimator wikiPageWikiLink Taylor_series.
- Bias_of_an_estimator wikiPageWikiLink Unbiased_estimation_of_standard_deviation.
- Bias_of_an_estimator wikiPageWikiLink Variance.
- Bias_of_an_estimator wikiPageWikiLink File:Example_when_estimator_bias_is_good.svg.
- Bias_of_an_estimator wikiPageWikiLinkText "''bias''".
- Bias_of_an_estimator wikiPageWikiLinkText "''mean''-unbiased estimator".
- Bias_of_an_estimator wikiPageWikiLinkText "''median''-unbiased estimator".
- Bias_of_an_estimator wikiPageWikiLinkText "Bias of an estimator".
- Bias_of_an_estimator wikiPageWikiLinkText "Bias of an estimator#Maximum of a discrete uniform distribution".
- Bias_of_an_estimator wikiPageWikiLinkText "Bias".
- Bias_of_an_estimator wikiPageWikiLinkText "Median-unbiased estimator".
- Bias_of_an_estimator wikiPageWikiLinkText "Unbiased estimator".
- Bias_of_an_estimator wikiPageWikiLinkText "bias error".
- Bias_of_an_estimator wikiPageWikiLinkText "bias of an estimator".
- Bias_of_an_estimator wikiPageWikiLinkText "bias".
- Bias_of_an_estimator wikiPageWikiLinkText "biased estimate".
- Bias_of_an_estimator wikiPageWikiLinkText "biased estimators".
- Bias_of_an_estimator wikiPageWikiLinkText "biased".
- Bias_of_an_estimator wikiPageWikiLinkText "estimated without bias".
- Bias_of_an_estimator wikiPageWikiLinkText "estimator be mean-unbiased".
- Bias_of_an_estimator wikiPageWikiLinkText "least biased".
- Bias_of_an_estimator wikiPageWikiLinkText "median-unbiased estimators".
- Bias_of_an_estimator wikiPageWikiLinkText "squared bias".
- Bias_of_an_estimator wikiPageWikiLinkText "unbiased estimate of the variance".
- Bias_of_an_estimator wikiPageWikiLinkText "unbiased estimate".
- Bias_of_an_estimator wikiPageWikiLinkText "unbiased estimates".
- Bias_of_an_estimator wikiPageWikiLinkText "unbiased estimation".
- Bias_of_an_estimator wikiPageWikiLinkText "unbiased estimator".
- Bias_of_an_estimator wikiPageWikiLinkText "unbiased estimators".
- Bias_of_an_estimator wikiPageWikiLinkText "unbiased".
- Bias_of_an_estimator wikiPageWikiLinkText "unbiasedness".
- Bias_of_an_estimator id "p/u095070".
- Bias_of_an_estimator title "Unbiased estimator".
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