Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Chebyshev's_inequality
gptkb:Bienaymé–Chebyshev_inequality |
| gptkbp:appliesTo |
random variables with finite mean and variance
|
| gptkbp:describes |
upper bound on probability that value deviates from mean
|
| gptkbp:field |
gptkb:probability_theory
statistics |
| gptkbp:form |
P(|X - μ| ≥ kσ) ≤ 1/k²
|
| gptkbp:generalizes |
gptkb:Markov's_inequality
|
| https://www.w3.org/2000/01/rdf-schema#label |
Chebyshev inequality
|
| gptkbp:namedAfter |
gptkb:Pafnuty_Chebyshev
|
| gptkbp:publishedIn |
gptkb:Journal_de_Mathématiques_Pures_et_Appliquées
|
| gptkbp:usedFor |
estimating tail probabilities
proving weak law of large numbers |
| gptkbp:yearProposed |
1867
|
| gptkbp:bfsParent |
gptkb:Pafnuty_Chebyshev
|
| gptkbp:bfsLayer |
6
|