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Chebyshev's inequality

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Also known as Bienaymé–Chebyshev inequality

inequality applying to random variables with finite expected values

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Vinony's link graph records 117 inbound references to Chebyshev's inequality, and connects out to probability distribution, law of large numbers and measure.

It is catalogued under topics including Probabilistic inequalities and Statistical inequalities.

Vinony links it to 30 Wikipedia language editions.

Wikidata facts

Instance of
theorem
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Commons category
Chebyshev's inequality
discoverer or inventor
Pafnuty Chebyshev
maintained by WikiProject
WikiProject Mathematics
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via Wikidata · CC0

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Encyclopedic overview

In probability theory, Chebyshev's inequality (also called the Bienaymé–Chebyshev inequality) provides an upper bound on the probability of deviation of a random variable (with finite variance) from its mean. More specifically, the probability that a random variable deviates from its mean by more than

k σ

Excerpted from Wikipedia’s “Chebyshev's inequality” article, available under the CC BY-SA 4.0 licence.

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