KnowraLévy's continuity theoremLinked fromLinked fromThe 4 pages that link to Lévy's continuity theorem, each with the reason it gives.All 4Related 3Compared with 1Characteristic functionRelated: It lets convergence of these functions establish convergence in distribution.Dominated convergence theoremRelated: Dominated convergence helps prove characteristic-function limits in probability theory.Prokhorov's theoremCompared with: It provides a different convergence tool, often paired with tightness arguments.Paul LévyRelated: It connects the transform methods Lévy used to convergence of probability laws.