About: Kolmogorov's two-series theorem

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In probability theory, Kolmogorov's two-series theorem is a result about the convergence of random series. It follows from Kolmogorov's inequality and is used in one proof of the strong law of large numbers.

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rdfs:label	Kolmogorov's two-series theorem (en) Théorème des deux séries de Kolmogorov (fr) コルモゴロフの二級数定理 (ja) Теорема Колмогорова о двух рядах (ru)
rdfs:comment	En théorie des probabilités, le théorème des deux séries de Kolmogorov est un résultat sur la convergence des séries aléatoires. Il résulte de l'inégalité de Kolmogorov et est utilisé dans une preuve de la loi forte des grands nombres . (fr) In probability theory, Kolmogorov's two-series theorem is a result about the convergence of random series. It follows from Kolmogorov's inequality and is used in one proof of the strong law of large numbers. (en) 確率論におけるコルモゴロフの二級数定理（コルモゴロフのにきゅうすうていり、英: Kolmogorov's Two-Series Theorem）は、確率変数からなる級数の収束に関する結果の一つ。から導くことができ、また大数の強法則の証明に用いられることがある。 (ja) Теорема Колмогорова о двух рядах в теории вероятностей задает достаточное условие сходимости с вероятностью единица ряда независимых случайных величин. Теорема Колмогорова о двух рядах может быть использована для доказательства усиленного закона больших чисел. (ru)
dcterms:subject	Probability theorems
Wikipage page ID	41362059 (xsd:integer)
Wikipage revision ID	816304367 (xsd:integer)
Link from a Wikipage to another Wikipage	Probability theorems Almost surely Variance Convergence of random variables WLOG Expected value Kolmogorov's inequality Probability theory Strong law of large numbers Independent random variables
sameAs	Kolmogorov's two-series theorem Kolmogorov's two-series theorem Kolmogorov's two-series theorem Kolmogorov's two-series theorem Kolmogorov's two-series theorem Kolmogorov's two-series theorem Kolmogorov's two-series theorem Kolmogorov's two-series theorem
dbp:wikiPageUsesTemplate	dbt:Reflist
has abstract	En théorie des probabilités, le théorème des deux séries de Kolmogorov est un résultat sur la convergence des séries aléatoires. Il résulte de l'inégalité de Kolmogorov et est utilisé dans une preuve de la loi forte des grands nombres . (fr) In probability theory, Kolmogorov's two-series theorem is a result about the convergence of random series. It follows from Kolmogorov's inequality and is used in one proof of the strong law of large numbers. (en) 確率論におけるコルモゴロフの二級数定理（コルモゴロフのにきゅうすうていり、英: Kolmogorov's Two-Series Theorem）は、確率変数からなる級数の収束に関する結果の一つ。から導くことができ、また大数の強法則の証明に用いられることがある。 (ja) Теорема Колмогорова о двух рядах в теории вероятностей задает достаточное условие сходимости с вероятностью единица ряда независимых случайных величин. Теорема Колмогорова о двух рядах может быть использована для доказательства усиленного закона больших чисел. (ru)
gold:hypernym	Result
prov:wasDerivedFrom	wikipedia-en:Kolmogorov's_two-series_theorem?oldid=816304367&ns=0
page length (characters) of wiki page	2540 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Kolmogorov's_two-series_theorem
is Link from a Wikipage to another Wikipage of	List of probability topics Andrey Kolmogorov Kolmogorov's three-series theorem Kolmogorov's Two-Series Theorem
is Wikipage redirect of	Kolmogorov's Two-Series Theorem
is foaf:primaryTopic of	wikipedia-en:Kolmogorov's_two-series_theorem

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