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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

Attributes	Values
rdfs:label	Äquivarianter Schätzer (de) Invariant estimator (en)
rdfs:comment	Ein äquivarianter Schätzer ist ein spezieller Punktschätzer in der Schätztheorie, einem Teilgebiet der mathematischen Statistik. Äquivariante Schätzer zeichnen sich im einfachsten Fall dadurch aus, dass eine Transformation der Daten zu einer identischen Transformation des Schätzwertes führt. Verschiebt man die Daten also um einen gewissen Wert, so ist der Schätzwert ebenso um diesen Wert verschoben. (de) 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 (en)
dcterms:subject	Invariant theory Estimator
Wikipage page ID	16959378 (xsd:integer)
Wikipage revision ID	993629409 (xsd:integer)
Link from a Wikipage to another Wikipage	Bayesian inference Scale invariance Monotonic function Bias of an estimator Median Estimation theory Estimator Invariant theory Multivariate normal distribution Equivalence class Equivariant map Statistical inference Location parameter Statistical model Statistics Estimator Cauchy distribution Probability density function Prior knowledge for pattern recognition Risk function Biometrika Maximum likelihood estimator Orbit (group theory) Random variables Loss function Statistical classification Robust statistics Bayesian estimator Group of transformation Independent and identically distributed Random vector Weighted average
sameAs	Invariant estimator Invariant estimator Invariant estimator Invariant estimator
dbp:wikiPageUsesTemplate	dbt:Citation_needed dbt:Cite_book dbt:Cite_journal dbt:More_footnotes dbt:Multiple_issues dbt:Page_needed dbt:Refimprove dbt:Reflist
has abstract	Ein äquivarianter Schätzer ist ein spezieller Punktschätzer in der Schätztheorie, einem Teilgebiet der mathematischen Statistik. Äquivariante Schätzer zeichnen sich im einfachsten Fall dadurch aus, dass eine Transformation der Daten zu einer identischen Transformation des Schätzwertes führt. Verschiebt man die Daten also um einen gewissen Wert, so ist der Schätzwert ebenso um diesen Wert verschoben. Für äquivariante Schätzer lassen sich einige Optimalitätsbedingungen leichter zeigen. So sind beispielsweise unter gewissen Zusatzannahmen lokal minimale äquivariante Schätzer immer auch gleichmäßig beste erwartungstreue Schätzer. Wichtige äquivariante Schätzer sind die . (de) 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 "equivariance" in more general mathematics. (en)
gold:hypernym	Criterion
prov:wasDerivedFrom	wikipedia-en:Invariant_estimator?oldid=993629409&ns=0
page length (characters) of wiki page	14986 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Invariant_estimator
is Link from a Wikipage to another Wikipage of	Pearson correlation coefficient Invariant (mathematics) Invariant Estimator Quantile regression Equivariant map Optimal design Location parameter Rao–Blackwell theorem Loss function Scale parameter List of statistics articles Polynomial and rational function modeling Taguchi methods Invariant Estimator Equivariant Estimator Equivariant estimation Equivariant estimator Pitman Estimator
is Wikipage redirect of	Invariant Estimator Equivariant Estimator Equivariant estimation Equivariant estimator Pitman Estimator
is Wikipage disambiguates of	Invariant
is foaf:primaryTopic of	wikipedia-en:Invariant_estimator

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