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- Proofs_of_convergence_of_random_variables abstract "This article is supplemental for “Convergence of random variables” and provides proofs for selected results.Several results will be established using the portmanteau lemma: A sequence {Xn} converges in distribution to X if and only if any of the following conditions are met: E[f(Xn)] → E[f(X)] for all bounded, continuous functions f; E[f(Xn)] → E[f(X)] for all bounded, Lipschitz functions f; limsup{Pr(Xn ∈ C)} ≤ Pr(X ∈ C) for all closed sets C;".
- Proofs_of_convergence_of_random_variables wikiPageID "24334988".
- Proofs_of_convergence_of_random_variables wikiPageRevisionID "602833161".
- Proofs_of_convergence_of_random_variables hasPhotoCollection Proofs_of_convergence_of_random_variables.
- Proofs_of_convergence_of_random_variables subject Category:Article_proofs.
- Proofs_of_convergence_of_random_variables subject Category:Probability_theory.
- Proofs_of_convergence_of_random_variables type Abstraction100002137.
- Proofs_of_convergence_of_random_variables type ArticleProofs.
- Proofs_of_convergence_of_random_variables type Cognition100023271.
- Proofs_of_convergence_of_random_variables type Evidence105823932.
- Proofs_of_convergence_of_random_variables type Information105816287.
- Proofs_of_convergence_of_random_variables type Proof105824739.
- Proofs_of_convergence_of_random_variables type PsychologicalFeature100023100.
- Proofs_of_convergence_of_random_variables comment "This article is supplemental for “Convergence of random variables” and provides proofs for selected results.Several results will be established using the portmanteau lemma: A sequence {Xn} converges in distribution to X if and only if any of the following conditions are met: E[f(Xn)] → E[f(X)] for all bounded, continuous functions f; E[f(Xn)] → E[f(X)] for all bounded, Lipschitz functions f; limsup{Pr(Xn ∈ C)} ≤ Pr(X ∈ C) for all closed sets C;".
- Proofs_of_convergence_of_random_variables label "Proofs of convergence of random variables".
- Proofs_of_convergence_of_random_variables sameAs m.07s3pw2.
- Proofs_of_convergence_of_random_variables sameAs Q7250031.
- Proofs_of_convergence_of_random_variables sameAs Q7250031.
- Proofs_of_convergence_of_random_variables sameAs Proofs_of_convergence_of_random_variables.
- Proofs_of_convergence_of_random_variables wasDerivedFrom Proofs_of_convergence_of_random_variables?oldid=602833161.
- Proofs_of_convergence_of_random_variables isPrimaryTopicOf Proofs_of_convergence_of_random_variables.