Lehmann–Scheffé theorem

GPTKB entity

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