Chebyshev's inequality
In probability theory, Chebyshev's inequality (also spelled as Tchebysheff's inequality, Russian: Нера́венство Чебышёва) guarantees that, for a wide class of probability distributions, "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 any probability distribution in which the mean and variance are defined. For example, it can be used to prove the weak law of large numbers.
An inequality of location and scale parametersAn inequality on location and scale parametersBienayme-Chebyshev inequalityBienaymé-Chebyshev inequalityBienaymé–Chebyshev inequalityChebychev's inequalityChebychevs inequalityChebyshev's InequalityChebyshev's boundChebyshev's ruleChebyshev InequalityChebyshev inequalityChebyshev’s inequalityInequality on location and scale parametersMean-median inequalityMedian-mean inequalityOne-sided Chebyshev inequalityTchebycheff inequalityTchebysheff's inequalityTchebysheff's theoremTchebysheff theorem
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Chebyshev's inequality
In probability theory, Chebyshev's inequality (also spelled as Tchebysheff's inequality, Russian: Нера́венство Чебышёва) guarantees that, for a wide class of probability distributions, "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 any probability distribution in which the mean and variance are defined. For example, it can be used to prove the weak law of large numbers.
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Em matemática, a desigualdade ...... francês Irénée-Jules Bienaymé.
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En probabilidad, la desigualda ...... tras áreas de las matemáticas.
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En théorie des probabilités, l ...... ti Tchebychev qui le démontra.
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In der Stochastik ist die Tsch ...... e“ liegen und wie viele nicht.
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In probability theory, Chebysh ...... ly in the context of analysis.
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La disuguaglianza di Čebyšëv è ...... aglianza di Bienaymé-Čebyšëv).
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Nierówność Czebyszewa podaje g ...... że prowadzić do nieporozumień.
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Нера́венство Чебышёва, известн ...... ей используется его следствие.
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متباينة تشيبيشيف (بالإنجليزية: ...... انظر أيضا إلى متراجحة ماركوف.
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チェビシェフの不等式（チェビシェフのふとうしき）は、不等式で ...... 標準偏差以上離れた値は全体の 1/n2 を超えることはない。
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title
Chebyshev inequality in probability theory
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Em matemática, a desigualdade ...... francês Irénée-Jules Bienaymé.
@pt
En probabilidad, la desigualda ...... desigualdades tipo Chebyshov.
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En théorie des probabilités, l ...... ti Tchebychev qui le démontra.
@fr
In der Stochastik ist die Tsch ...... halb dieses Intervalls liegen.
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In probability theory, Chebysh ...... the weak law of large numbers.
@en
La disuguaglianza di Čebyšëv è ...... aglianza di Bienaymé-Čebyšëv).
@it
Nierówność Czebyszewa podaje g ...... że prowadzić do nieporozumień.
@pl
Нера́венство Чебышёва, известн ...... ей используется его следствие.
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متباينة تشيبيشيف (بالإنجليزية: ...... : P(|x-μ|) ≤ c P(W≥a)≤(E(W))/a
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チェビシェフの不等式（チェビシェフのふとうしき）は、不等式で ...... 標準偏差以上離れた値は全体の 1/n2 を超えることはない。
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label
Chebyshev's inequality
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Desigualdad de Chebyshov
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Desigualdade de Chebyshev
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Disuguaglianza di Čebyšëv
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Inégalité de Bienaymé-Tchebychev
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Nierówność Czebyszewa
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Tschebyscheff-Ungleichung
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Неравенство Чебышёва
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متباينة تشيبيشيف
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チェビシェフの不等式
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