π-λ theorem

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs Dynkin's π-λ theorem
gptkbp:field gptkb:probability_theory
measure theory
https://www.w3.org/2000/01/rdf-schema#label π-λ theorem
gptkbp:namedAfter gptkb:Eugene_Dynkin
gptkb:λ-system
π-system
gptkbp:state If a λ-system contains a π-system, then the σ-algebra generated by the π-system is contained in the λ-system.
gptkbp:usedFor proving uniqueness of measures
establishing properties of σ-algebras
gptkbp:bfsParent gptkb:Dynkin's_lemma
gptkb:Dynkin_system
gptkbp:bfsLayer 7