KnowraConvergence in distributionLinked fromLinked fromThe 15 pages that link to Convergence in distribution, each with the reason it gives.All 15Related 7Narrower topic 3Compared with 5Almost sure convergenceCompared with: This mode concerns distributions rather than pointwise behavior on shared outcomes.Convergence in probabilityCompared with: It compares distributions rather than requiring errors from a particular limit to become unlikely.Strong law of large numbersCompared with: This weaker mode can hold without the pathwise stabilization guaranteed by the strong law.Uniform integrabilityCompared with: Distributional convergence does not by itself ensure convergence of expectations without tail control.Lévy's continuity theoremCompared with: It is the familiar formulation of the weak convergence guaranteed by the theorem.