Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
union bound
|
| gptkbp:appliesTo |
countable collections of events
|
| gptkbp:field |
gptkb:probability_theory
|
| gptkbp:form |
P(∪ₖAₖ) ≤ ΣₖP(Aₖ)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Boole's inequality
|
| gptkbp:namedAfter |
gptkb:George_Boole
|
| gptkbp:publishedIn |
gptkb:George_Boole's_1854_book_'An_Investigation_of_the_Laws_of_Thought'
|
| gptkbp:relatedTo |
gptkb:Bonferroni_inequalities
inclusion-exclusion principle |
| gptkbp:sentence |
The probability of the union of a finite or countable collection of events is less than or equal to the sum of the probabilities of the individual events.
|
| gptkbp:usedIn |
gptkb:information_theory
statistics risk analysis probability bounds |
| gptkbp:bfsParent |
gptkb:Markov's_inequality
|
| gptkbp:bfsLayer |
6
|