Chebyshev's inequality
Sign in to saveAlso known as Bienaymé–Chebyshev inequality
inequality applying to random variables with finite expected values
Wikidata facts
- Instance of
- theorem
- Named after
- Irénée-Jules Bienaymé
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- Commons category
- Chebyshev's inequality
- discoverer or inventor
- Pafnuty Chebyshev
- maintained by WikiProject
- WikiProject Mathematics
- studied by
- probability theory
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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.