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- Chebyshev's_inequality abstract "In probability theory, Chebyshev's inequality (also spelled as Tchebysheff's inequality, Нера́венство Чебышева) guarantees that in any probability distribution, "nearly all" values are close to the mean — the precise statement being that no more than 1/k2 of the distribution's values can be more than k standard deviations away from the mean (or equivalently, at least 1 - 1/k2 of the distribution's values are within k standard deviations of the mean). The rule is often called Chebyshev's theorem, about the range of standard deviations around the mean, in statistics. The inequality has great utility because it can be applied to completely arbitrary distributions (unknown except for mean and variance), for example it can be used to prove the weak law of large numbers.In practical usage, in contrast to the empirical rule, which applies to normal distributions, under Chebyshev's inequality a minimum of just 75% of values must lie within two standard deviations of the mean and 89% within three standard deviations.The term Chebyshev's inequality may also refer to the Markov's inequality, especially in the context of analysis.".
- Chebyshev's_inequality wikiPageExternalLink T7.
- Chebyshev's_inequality wikiPageExternalLink ucl.htm.
- Chebyshev's_inequality wikiPageID "156533".
- Chebyshev's_inequality wikiPageRevisionID "606635015".
- Chebyshev's_inequality date "May 2012".
- Chebyshev's_inequality hasPhotoCollection Chebyshev's_inequality.
- Chebyshev's_inequality id "p/c021890".
- Chebyshev's_inequality reason "articles should be reasonably self contained, more explanation needed".
- Chebyshev's_inequality title "Chebyshev inequality in probability theory".
- Chebyshev's_inequality subject Category:Articles_containing_proofs.
- Chebyshev's_inequality subject Category:Probabilistic_inequalities.
- Chebyshev's_inequality subject Category:Probability_theory.
- Chebyshev's_inequality subject Category:Statistical_inequalities.
- Chebyshev's_inequality type Abstraction100002137.
- Chebyshev's_inequality type Attribute100024264.
- Chebyshev's_inequality type Difference104748836.
- Chebyshev's_inequality type Inequality104752221.
- Chebyshev's_inequality type ProbabilisticInequalities.
- Chebyshev's_inequality type Quality104723816.
- Chebyshev's_inequality type StatisticalInequalities.
- Chebyshev's_inequality comment "In probability theory, Chebyshev's inequality (also spelled as Tchebysheff's inequality, Нера́венство Чебышева) guarantees that in any probability distribution, "nearly all" values are close to the mean — the precise statement being that no more than 1/k2 of the distribution's values can be more than k standard deviations away from the mean (or equivalently, at least 1 - 1/k2 of the distribution's values are within k standard deviations of the mean).".
- Chebyshev's_inequality label "Chebyshev's inequality".
- Chebyshev's_inequality label "Desigualdad de Chebyshov".
- Chebyshev's_inequality label "Desigualdade de Chebyshev".
- Chebyshev's_inequality label "Disuguaglianza di Čebyšëv".
- Chebyshev's_inequality label "Inégalité de Bienaymé-Tchebychev".
- Chebyshev's_inequality label "Nierówność Czebyszewa".
- Chebyshev's_inequality label "Tschebyscheff-Ungleichung".
- Chebyshev's_inequality label "Неравенство Чебышёва".
- Chebyshev's_inequality label "チェビシェフの不等式".
- Chebyshev's_inequality label "切比雪夫不等式".
- Chebyshev's_inequality sameAs Čebyševova_nerovnost.
- Chebyshev's_inequality sameAs Tschebyscheff-Ungleichung.
- Chebyshev's_inequality sameAs Desigualdad_de_Chebyshov.
- Chebyshev's_inequality sameAs Txebixeven_desberdintza.
- Chebyshev's_inequality sameAs Inégalité_de_Bienaymé-Tchebychev.
- Chebyshev's_inequality sameAs Disuguaglianza_di_Čebyšëv.
- Chebyshev's_inequality sameAs チェビシェフの不等式.
- Chebyshev's_inequality sameAs 체비쇼프_부등식.
- Chebyshev's_inequality sameAs Nierówność_Czebyszewa.
- Chebyshev's_inequality sameAs Desigualdade_de_Chebyshev.
- Chebyshev's_inequality sameAs m.014jzr.
- Chebyshev's_inequality sameAs Q249514.
- Chebyshev's_inequality sameAs Q249514.
- Chebyshev's_inequality sameAs Chebyshev's_inequality.
- Chebyshev's_inequality wasDerivedFrom Chebyshev's_inequality?oldid=606635015.
- Chebyshev's_inequality isPrimaryTopicOf Chebyshev's_inequality.