Invariant estimator
In statistics, the concept of being an invariant estimator is a criterion that can be used to compare the properties of different estimators for the same quantity. It is a way of formalising the idea that an estimator should have certain intuitively appealing qualities. Strictly speaking, "invariant" would mean that the estimates themselves are unchanged when both the measurements and the parameters are transformed in a compatible way, but the meaning has been extended to allow the estimates to change in appropriate ways with such transformations. The term equivariant estimator is used in formal mathematical contexts that include a precise description of the relation of the way the estimator changes in response to changes to the dataset and parameterisation: this corresponds to the use of
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Equivariant EstimatorEquivariant estimationEquivariant estimatorEquivariant mapEstimatorHaar measureInvariantInvariant (mathematics)Invariant EstimatorList of statistics articlesLocation parameterLoss functionOptimal designPearson correlation coefficientPitman EstimatorPolynomial and rational function modelingQuantile regressionScale parameterStein's exampleTaguchi methods
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Invariant estimator
In statistics, the concept of being an invariant estimator is a criterion that can be used to compare the properties of different estimators for the same quantity. It is a way of formalising the idea that an estimator should have certain intuitively appealing qualities. Strictly speaking, "invariant" would mean that the estimates themselves are unchanged when both the measurements and the parameters are transformed in a compatible way, but the meaning has been extended to allow the estimates to change in appropriate ways with such transformations. The term equivariant estimator is used in formal mathematical contexts that include a precise description of the relation of the way the estimator changes in response to changes to the dataset and parameterisation: this corresponds to the use of
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Ein äquivarianter Schätzer ist ...... uivariante Schätzer sind die .
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In statistics, the concept of ...... " in more general mathematics.
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Ein äquivarianter Schätzer ist ...... nso um diesen Wert verschoben.
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In statistics, the concept of ...... his corresponds to the use of
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Invariant estimator
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Äquivarianter Schätzer
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