bn:00789777n
Noun Named Entity
Categories: Webarchive template wayback links, Articles with short description, Statistical inequalities, Articles containing proofs, Probabilistic inequalities
EN
Chebyshev's inequality  An inequality of location and scale parameters  an inequality on location and scale parameters  Bienayme-Chebyshev inequality  Bienaymé-Chebyshev inequality
EN
In probability theory, Chebyshev's inequality guarantees that, for a wide class of probability distributions, no more than a certain fraction of values can be more than a certain distance from the mean. Wikipedia
Definitions
Examples
Relations
Sources
EN
In probability theory, Chebyshev's inequality guarantees that, for a wide class of probability distributions, no more than a certain fraction of values can be more than a certain distance from the mean. Wikipedia
Inequality applying to random variables with finite expected values Wikidata
The theorem that in any data sample with finite variance, the probability of any random variable X lying within an arbitrary real k number of standard deviations of the mean is 1 / k2, i.e. assuming mean μ and standard deviation σ, the probability Pr is. Wiktionary
EN
Pr ( | X − μ | ≥ k σ ) ≤ 1 k 2. Wiktionary