About: Lévy's continuity theorem

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In probability theory, Lévy’s continuity theorem, or Lévy's convergence theorem, named after the French mathematician Paul Lévy, connects convergence in distribution of the sequence of random variables with pointwise convergence of their characteristic functions. This theorem is the basis for one approach to prove the central limit theorem and it is one of the major theorems concerning characteristic functions.

Attributes	Values
rdfs:label	Lévy's continuity theorem (en)
rdfs:comment	In probability theory, Lévy’s continuity theorem, or Lévy's convergence theorem, named after the French mathematician Paul Lévy, connects convergence in distribution of the sequence of random variables with pointwise convergence of their characteristic functions. This theorem is the basis for one approach to prove the central limit theorem and it is one of the major theorems concerning characteristic functions. (en)
sameAs	Lévy's continuity theorem
dbp:wikiPageUsesTemplate	dbt:Reflist dbt:Short_description dbt:Unordered_list
Subject	Probability theorems Theorems in statistics Paul Lévy (mathematician)
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Lévy's_continuity_theorem?oldid=1060441450&ns=0
Wikipage page ID	1775513 (xsd:integer)
page length (characters) of wiki page	2936 (xsd:nonNegativeInteger)
Wikipage revision ID	1060441450 (xsd:integer)
Link from a Wikipage to another Wikipage	Probability space Probability theory Tightness of measures Probability theorems Central limit theorem Characteristic function (probability theory) Continuous function Convergence of random variables Expected value Theorems in statistics Paul Lévy (mathematician) Mathematician Pointwise convergence Random variable Paul Lévy (mathematician)
has abstract	In probability theory, Lévy’s continuity theorem, or Lévy's convergence theorem, named after the French mathematician Paul Lévy, connects convergence in distribution of the sequence of random variables with pointwise convergence of their characteristic functions. This theorem is the basis for one approach to prove the central limit theorem and it is one of the major theorems concerning characteristic functions. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Lévy's_continuity_theorem
is Wikipage redirect of	Lévy's convergence theorem Lévy-Cramér continuity theorem Lévy Cramér continuity theorem Lévy continuity theorem Lévy convergence theorem Lévy’s continuity theorem Levy's convergence theorem Levy-Cramer continuity theorem Levy Cramer continuity theorem Levy continuity theorem Levy convergence theorem Levy's continuity theorem
is Link from a Wikipage to another Wikipage of	List of statistics articles List of theorems Lévy's convergence theorem Lévy-Cramér continuity theorem Lévy Cramér continuity theorem Lévy continuity theorem Lévy convergence theorem Lévy’s continuity theorem Catalog of articles in probability theory Central limit theorem Characteristic function (probability theory) List of probability topics Continuity Continuity theorem Convergence of random variables Levy's convergence theorem Levy-Cramer continuity theorem Levy Cramer continuity theorem Levy continuity theorem Levy convergence theorem Law of large numbers Levy's continuity theorem
is known for of	Paul Lévy (mathematician)
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Lévy's_continuity_theorem

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