Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
probability inequality
|
| gptkbp:alsoKnownAs |
one-sided Chebyshev inequality
|
| gptkbp:appliesTo |
random variables with finite mean and variance
|
| gptkbp:describes |
upper bound on probability that a random variable deviates from its mean in one direction
|
| gptkbp:field |
gptkb:probability_theory
|
| gptkbp:form |
P(X - μ ≥ λσ) ≤ 1/(1+λ²) for λ > 0
|
| gptkbp:generalizes |
gptkb:Chebyshev's_inequality
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cantelli's inequality
|
| gptkbp:namedAfter |
gptkb:Francesco_Paolo_Cantelli
|
| gptkbp:publicationYear |
1910s
|
| gptkbp:publishedIn |
Giornale dell'Istituto Italiano degli Attuari
|
| gptkbp:usedFor |
bounding tail probabilities
|
| gptkbp:bfsParent |
gptkb:Francesco_Paolo_Cantelli
|
| gptkbp:bfsLayer |
8
|