Construct · 1 fields · 1 citations

Borel-Cantelli lemma: a standalone construct

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Borel-Cantellilemma1 CONSTRUCTBorel-Cantelli lemmaÉMILE BOREL · PROBABILITY

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Probability theory

result that if the probabilities of a sequence of events have a finite sum, then with probability one only finitely many of the events occur.

In probability theory, Borel-Cantelli lemma refers to result that if the probabilities of a sequence of events have a finite sum, then with probability one only finitely many of the events occur. This meaning comes from Émile Borel (1909) in Rendiconti del Circolo Matematico di Palermo.[1]

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Nearby constructs

lemma1 fields · 3 citationsanchor · a standalone constructsequence3 fields · 3 citationsjingle · one word, three constructs

References

  1. Émile Borel, M. (1909). Les probabilités dénombrables et leurs applications arithmétiques. Rendiconti del Circolo Matematico di Palermo, 27(1), 247-271. https://doi.org/10.1007/bf03019651

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