KnowraWeak convergenceLinked fromLinked fromThe 14 pages that link to Weak convergence, each with the reason it gives.All 14Broader topic 3Related 8Narrower topic 2Compared with 1Dirac delta functionRelated: Delta sequences converge through their action on test functions, not pointwise.Bolzano–Weierstrass theoremRelated: Infinite-dimensional existence proofs often replace ordinary subsequence convergence with weak compactness.Arzelà–Ascoli theoremCompared with: Variational problems often use weak compactness where uniform compactness of functions is unavailable.Empirical distribution functionRelated: Weak convergence describes how empirical distributions approach a population law as sample size grows.Weak topologyBroader topic: A sequence converges weakly when every functional defining this topology converges on it.Distribution theoryRelated: Distributional convergence is a central way to handle limits of functions and measures.Direct method in the calculus of variationsRelated: Bounded minimizing sequences often yield weakly convergent subsequences.Banach–Steinhaus theoremRelated: Banach–Steinhaus helps control operators defined through weakly convergent families.Lévy's continuity theoremBroader topic: This is the mode of convergence the theorem concludes.Slutsky's theoremNarrower topic: Convergence in distribution is the real-valued form underlying the theorem’s main hypothesis.Eberlein–Šmulian theoremBroader topic: The theorem tests sets using subsequences that converge in this sense.Cramér–Wold theoremRelated: A convergence version of the projection principle characterizes weak convergence of random vectors.De Moivre–Laplace theoremNarrower topic: The theorem's distributional form is expressed as a specific weak-convergence result.Ibragimov–Iosifescu conjectureRelated: The central limit theorem asserts this kind of convergence for normalized sums.