English Explanatory Dictionary

Chebyshev's inequality

English dictionary entry

Meanings

name
  1. The theorem that in any data sample with finite variance, the probability of any random variable X that lies k or more standard deviations away from the mean is no more than 1/k², i.e. assuming mean μ and standard deviation σ, the probability is

Word forms

Chebyshev's inequality Chebyshev inequality Tchebycheff inequality Tchebycheff's inequality

Etymology

From the surname of Russian mathematician Pafnuty Chebyshev (1821–1894), the discoverer.

Related words

Chebyshev's sum inequality
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