Statements (21)
Predicate | Object |
---|---|
gptkbp:instanceOf |
statistical theorem
|
gptkbp:appliesTo |
unbiased estimators
complete sufficient statistics |
gptkbp:field |
statistics
mathematical statistics |
https://www.w3.org/2000/01/rdf-schema#label |
Lehmann–Scheffé theorem
|
gptkbp:namedAfter |
gptkb:Henry_Scheffé
gptkb:Erich_Leo_Lehmann |
gptkbp:publicationYear |
1947
|
gptkbp:publishedIn |
gptkb:Annals_of_Mathematical_Statistics
|
gptkbp:relatedConcept |
gptkb:Rao–Blackwell_theorem
gptkb:UMVUE sufficient statistic complete statistic unbiased estimator |
gptkbp:state |
If an unbiased estimator is a function of a complete sufficient statistic, then it is the unique uniformly minimum-variance unbiased estimator (UMVUE).
|
gptkbp:topic |
gptkb:estimation_theory
|
gptkbp:bfsParent |
gptkb:Cramér–Rao_bound
gptkb:Rao–Blackwell_theorem gptkb:Erich_Leo_Lehmann |
gptkbp:bfsLayer |
6
|