TERMIUM Plus^®

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best linear unbiased estimator; BLUE : term and abbreviation extracted from the “Glossaire de l'économie” and reproduced with permission of the Organisation for Economic Co-operation and Development.  2, fiche 1, Anglais, - best%20linear%20unbiased%20estimator

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meilleur estimateur linéaire sans biais : terme extrait du «Glossaire de l’économie» et reproduit avec l’autorisation de l’Organisation de coopération et de développement économiques.  2, fiche 1, Français, - meilleur%20estimateur%20lin%C3%A9aire%20sans%20biais

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The operation made for the purpose of estimating the mean of a population or the expectation of the probability distribution considered as representing the population.  2, fiche 2, Anglais, - estimation%20of%20the%20mean%20of%20a%20population

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The arithmetic mean of a simple random sample taken from a population is an unbiased estimator of the mean of this population.  2, fiche 2, Anglais, - estimation%20of%20the%20mean%20of%20a%20population

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Opération ayant pour but d'estimer la moyenne d'une population, ou l'espérance mathématique de la loi de probabilité considérée comme représentant cette population. NOTE - La moyenne arithmétique d'un échantillon simple ou hasard, issu d'une population est un estimateur sans biais de la moyenne de cette population.  2, fiche 2, Français, - estimation%20de%20la%20moyenne%20d%27une%20population

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In this context, unbiased estimators are seen to be equally dubious. These estimators have the property that their estimates converge towards the "true" value when the number of observations, N, increases. But what does now happen when there is no true value, and the model underlying the estimator is wrong. "Biased" estimators such as ridge regression, PCR, and PLS are, in addition, giving estimates with smaller variance, i. e. better precision and accuracy, than the "unbiased" estimator for a given N.  1, fiche 3, Anglais, - ridge%20regression

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Proposition du service de traduction de Statistique Canada.  1, fiche 3, Français, - m%C3%A9thode%20de%20r%C3%A9gression%20ridge

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The seminal Generalised Least Squares contribution, together with the first matrix formulation of the Linear Regression Model appeared in Aitken, s paper, "On Least Squares and Linear Combinations of Observations", Proceedings of the Royal Society of Edinburgh, 1935, vol. 55, pp. 42-48. In this paper we find the well-known extension of the Gauss-Markhov Theorem to the case where the regression error vector has a non-scalar covariance matrix-the Aitken estimator is "Best Linear Unbiased".  1, fiche 4, Anglais, - Aitken%20estimator

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... the average of the squared distance between the estimate and the parameter.  4, fiche 5, Anglais, - mean%20square%20error

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A measure of the error to which one is exposed by the use of an estimator, which is given by the expected value of the squared difference between the estimator and a(theoretically) correct value. For unbiased estimators, the mean square error equals the variance.  6, fiche 5, Anglais, - mean%20square%20error

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The square root of the mean square error [derived from variate values]  1, fiche 6, Anglais, - root%2Dmean%2Dsquare%20error

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mean square error: ... the average of the squared distance between the estimate and the parameter.  3, fiche 6, Anglais, - root%2Dmean%2Dsquare%20error

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A measure of the error to which one is exposed by the use of an estimator, which is given by the expected value of the squared difference between the estimator and a(theoretically) correct value. For unbiased estimators, the mean square error equals the variance.  1, fiche 6, Anglais, - root%2Dmean%2Dsquare%20error

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L'erreur type est l'écart type d'une distribution d'échantillonnage d'une mesure obtenue à partir de calculs effectués sur un échantillon.  2, fiche 6, Français, - erreur%2Dtype

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If the mean of the sampling distribution of a statistic equals the corresponding population parameter, the statistic is called an unbiased estimator of the parameter, otherwise it is called a biased estimator.  2, fiche 7, Anglais, - biased%20estimator

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A statistic t which is used as an estimator of a parameter that is said to be biased if the mean value of t over all possible samples is not equal to theta.  3, fiche 7, Anglais, - biased%20estimator

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[...] l'erreur commise sur une estimation dépend à la fois de sa variance et de son biais : [...] dans certaines techniques d'échantillonnage, on peut être conduit à préférer un estimateur biaisé à un estimateur sans biais, lorsque la variance du premier est plus faible que celle du second.  4, fiche 7, Français, - estimateur%20biais%C3%A9

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The operation made for the purpose of estimating the variance of a population or of a probability distribution considered as representing this population.  2, fiche 8, Anglais, - estimation%20of%20the%20variance%20of%20a%20population

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1. An unbiased estimator of the variance of a probability distribution obtained from a sample of n independent observations is obtained by dividing by n-1 the sum of the squares of the deviations of the observed values from the arithmetic mean of this sample. 2. The positive square root of the unbiased estimator of the variance is often used as an estimator of the standard deviation. However, it ought to be noted that this estimator is not unbiased.  3, fiche 8, Anglais, - estimation%20of%20the%20variance%20of%20a%20population

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Opération ayant pour but d'estimer la variance d'une population, ou de la loi de distribution considérée comme représentant cette population.  3, fiche 8, Français, - estimation%20de%20la%20variance%20d%27une%20population

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1. Un estimateur sans biais de la variance d'une loi de probabilité à partir d'un échantillon de n observations indépendantes s'obtient en divisant par n 1 la somme des carrés des écarts des valeurs observées par rapport à la moyenne arithmétique de cet échantillon. 2. La racine carrée positive de l'estimateur sans biais de la variance est souvent utilisée comme estimateur de l'écart-type. Il faut noter pourtant que cet estimateur n'est pas sans biais.  3, fiche 8, Français, - estimation%20de%20la%20variance%20d%27une%20population

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