Prokhorov's theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:Polish_spaces
gptkbp:concerns tightness of measures
weak convergence of probability measures
gptkbp:field gptkb:probability_theory
https://www.w3.org/2000/01/rdf-schema#label Prokhorov's theorem
gptkbp:namedAfter gptkb:Yuri_Prokhorov
gptkbp:publishedIn 1956
gptkbp:state A family of probability measures on a Polish space is relatively compact if and only if it is tight.
gptkbp:usedIn gptkb:probability_theory
measure theory
gptkbp:bfsParent gptkb:Yuri_Prokhorov
gptkbp:bfsLayer 6