Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
sequences of events
|
| gptkbp:book |
If the events are independent and the sum of probabilities diverges, then the probability that infinitely many of them occur is one.
|
| gptkbp:describes |
conditions under which events occur infinitely often
|
| gptkbp:field |
gptkb:probability_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Borel-Cantelli lemma
|
| gptkbp:namedAfter |
gptkb:Francesco_Paolo_Cantelli
gptkb:Émile_Borel |
| gptkbp:part_of |
If the sum of probabilities of events is finite, then the probability that infinitely many of them occur is zero.
|
| gptkbp:publishedIn |
early 20th century
|
| gptkbp:relatedTo |
gptkb:law_of_large_numbers
almost sure convergence |
| gptkbp:usedIn |
ergodic theory
measure theory statistical mathematics |
| gptkbp:bfsParent |
gptkb:Real_Analysis
|
| gptkbp:bfsLayer |
7
|