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Noun Named Entity
Categories: Statistical inequalities, Probabilistic inequalities, Webarchive template wayback links, Articles with short description, Articles containing proofs
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
Theorem. Wiktionary (translation)
EN
Pr ( | X − μ | ≥ k σ ) ≤ 1 k 2. Wiktionary
IS A
theorem
concentration inequality
HAS INSTANCE
multidimensional Chebyshev's inequality
DIFFERENT FROM
Chebyshev-Bienayme inequality
DISCOVERER OR INVENTOR
Pafnuty Chebyshev
NAMED AFTER
Pafnuty Chebyshev
Irénée-Jules Bienaymé
SAID TO BE THE SAME AS
Chebyshev-Bienayme inequality
Wikipedia
EN
Chebyshev's inequality
Wikidata
EN
Chebyshev's inequality
Wiktionary
EN
Chebyshev's inequality
Wikipedia Redirections
EN
An inequality of location and scale parameters, an inequality on location and scale parameters, Bienayme-Chebyshev inequality, Bienaymé-Chebyshev inequality, Bienaymé–Chebyshev inequality, Chebychev's inequality, Chebychevs inequality, Chebyshev's bound, Chebyshev's Inequality, Chebyshev's rule, Chebyshev inequality, Chebyshev’s inequality, Inequality on location and scale parameters, Mean-median inequality, Median-mean inequality, One-sided Chebyshev inequality, Tchebycheff inequality, Tchebysheff's inequality, Tchebysheff's theorem, Tchebysheff theorem
Wikidata Alias
EN
Bienaymé–Chebyshev inequality

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