Meanings
proper noun
alternative Chebyshev inequality · alternative Tchebycheff inequality · alternative Tchebycheff's inequality
- mathematicsThe 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
Pr (|X-μ|≥kσ)≤1/(k²)
Origin
From the surname of Russian mathematician Pafnuty Chebyshev (1821–1894), the discoverer.
Full word history & related roots →Translations
Bulgarian неравенство на Чебишев
- неравенство на Чебишев (neravenstvo na Čebišev)theorem
Catalan desigualtat de Txebixov
- desigualtat de Txebixovtheorem
Chinese Mandarin 切比雪夫不等式
- 切比雪夫不等式 (Qièbǐxuěfū bùděngshì)theorem
Czech Čebyševova nerovnost
- Čebyševova nerovnosttheorem
Finnish Tšebyšovin epäyhtälö
- Tšebyšovin epäyhtälötheorem
French inégalité de Tchebychev
- inégalité de Tchebychevtheorem
German tschebyscheffsche Ungleichung, Tschebyscheff-Ungleichung
- tschebyscheffsche Ungleichungtheorem
- Tschebyscheff-Ungleichungtheorem
Italian disuguaglianza di Čebyšëv
- disuguaglianza di Čebyšëvtheorem
Portuguese desigualdade de Chebyshev
- desigualdade de Chebyshevtheorem
Russian нера́венство Чебышёва
- нера́венство Чебышёва (nerávenstvo Čebyšóva)theorem
Spanish desigualdad de Chebyshov
- desigualdad de Chebyshovtheorem
Cite this entry
APA
Chebyshev's inequality. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Chebyshev's%20inequality
MLA
“Chebyshev's inequality.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Chebyshev's%20inequality. Accessed November 4, 2026.
Chicago
WatkinsX Dictionary, s.v. “Chebyshev's inequality,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Chebyshev's%20inequality.
Source: Chebyshev's inequality on Wiktionary, CC BY-SA 4.0.