Koopman–Pitman theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:describes characterization of exponential families
gptkbp:field gptkb:probability_theory
statistics
https://www.w3.org/2000/01/rdf-schema#label Koopman–Pitman theorem
gptkbp:namedAfter gptkb:Bernard_O._Koopman
gptkb:E._J._G._Pitman
gptkbp:publicationYear 1936
gptkbp:relatedTo gptkb:exponential_family
sufficient statistic
gptkbp:state the only families of distributions admitting sufficient statistics of fixed dimension for all sample sizes are exponential families
gptkbp:bfsParent gptkb:Bernard_O._Koopman
gptkbp:bfsLayer 8