Borel–Cantelli lemma
In probability theory, the Borel–Cantelli lemma is a theorem about sequences of events. In general, it is a result in measure theory. It is named after Émile Borel and Francesco Paolo Cantelli, who gave statement to the lemma in the first decades of the 20th century. A related result, sometimes called the second Borel–Cantelli lemma, is a partial converse of the first Borel–Cantelli lemma. The lemma states that, under certain conditions, an event will have probability of either zero or one. Accordingly, it is the best-known of a class of similar theorems, known as zero-one laws. Other examples include Kolmogorov's zero–one law and the Hewitt–Savage zero–one law.
Asymptotic equipartition propertyBorel-CantelliBorel-Cantelli LemmaBorel-Cantelli lemmaBorel-Cantelli lemmasBorel cantelliBorel–CantelliBorel–Cantelli lemmasCatalog of articles in probability theoryConvergence of random variablesDuffin–Schaeffer conjectureFrancesco Paolo CantelliFranz Thomas BrussHewitt–Savage zero–one lawHsu–Robbins–Erdős theoremInfinite monkey theoremKolmogorov's three-series theoremKolmogorov's zero–one lawKuratowski convergenceLimit inferior and limit superiorList of eponyms (A–K)List of integration and measure theory topicsList of lemmasList of people from Southern ItalyList of probability topicsList of statistics articlesMaier's theoremNormal numberOutline of probabilityProofs of convergence of random variablesScientific phenomena named after peopleSet-theoretic limitVoter modelZero–one lawÉmile Borel
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Borel–Cantelli lemma
In probability theory, the Borel–Cantelli lemma is a theorem about sequences of events. In general, it is a result in measure theory. It is named after Émile Borel and Francesco Paolo Cantelli, who gave statement to the lemma in the first decades of the 20th century. A related result, sometimes called the second Borel–Cantelli lemma, is a partial converse of the first Borel–Cantelli lemma. The lemma states that, under certain conditions, an event will have probability of either zero or one. Accordingly, it is the best-known of a class of similar theorems, known as zero-one laws. Other examples include Kolmogorov's zero–one law and the Hewitt–Savage zero–one law.
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Borel–Cantellis lemma är inom ...... ariabler konvergerar eller ej.
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Das Borel-Cantelli-Lemma, manc ...... n Paul Erdős und Alfréd Rényi.
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Em teoria das probabilidades, ...... el e Francesco Paolo Cantelli.
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En la teoría de las probabilid ...... us integrales es finita.
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Het lemma van Borel–Cantelli i ...... van de gebeurtenissen vereist.
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Il Lemma di Borel-Cantelli è u ...... osiddetto paradosso di Borel).
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In probability theory, the Bor ...... he Hewitt–Savage zero–one law.
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Le théorème de Borel-Cantelli ...... é en théorie des probabilités.
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Lematy Borela-Cantellego – lem ...... przestrzeni probabilistycznej
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Ле́ма Боре́ля — Канте́ллі в те ...... лі називають лише першу з них.
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A.V.
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B/b017040
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Prokhorov
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title
Borel–Cantelli lemma
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Borel–Cantellis lemma är inom ...... ariabler konvergerar eller ej.
@sv
Das Borel-Cantelli-Lemma, manc ...... n Paul Erdős und Alfréd Rényi.
@de
Em teoria das probabilidades, ...... el e Francesco Paolo Cantelli.
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En la teoría de las probabilid ...... us integrales es finita.
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Het lemma van Borel–Cantelli i ...... ma van Borel–Cantelli genoemd.
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Il Lemma di Borel-Cantelli è u ...... successione di eventi , si ha:
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In probability theory, the Bor ...... he Hewitt–Savage zero–one law.
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Le théorème de Borel-Cantelli ...... é en théorie des probabilités.
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Lematy Borela-Cantellego – lem ...... przestrzeni probabilistycznej
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Ле́ма Боре́ля — Канте́ллі в те ...... лі називають лише першу з них.
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Borel-Cantelli-Lemma
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Borel–Cantelli lemma
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Borel–Cantellis lemma
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Lema de Borel-Cantelli
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Lema de Borel-Cantelli
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Lematy Borela-Cantellego
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Lemma di Borel-Cantelli
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Lemma van Borel-Cantelli
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Théorème de Borel-Cantelli
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Лема Бореля — Кантеллі
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