KnowraProkhorov's theoremLinked fromLinked fromThe 6 pages that link to Prokhorov's theorem, each with the reason it gives.All 6Related 5Compared with 1Weak convergenceRelated: It supplies conditions under which a sequence of probability measures has a weakly convergent subsequence.Uniform integrabilityRelated: Uniform integrability complements tightness when seeking convergence of expectations, not just distributions.Portmanteau theoremRelated: It pairs with Portmanteau criteria to turn tightness into convergence results.Lévy's continuity theoremCompared with: It approaches weak convergence through compactness rather than directly through characteristic functions.Gromov's compactness theoremRelated: It is a parallel compactness result for measures on metric spaces.Skorokhod representation theoremRelated: Tightness arguments often establish the weakly convergent sequences to which representation applies.