Chebyshev's inequality

English Alternative forms en Chebyshev inequality Tchebycheff inequality Tchebycheff's inequality Etymology From the surname of Russian mathematician Pafnuty Chebyshev (1821–1894), the discoverer. Proper noun Chebyshev's inequality en statistics 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: Related terms en Chebyshev's sum inequality Translations theorem Bulgarian: bg неравенство на Чебишев n Catalan: ca desigualtat de Txebixov f Chinese: Mandarin: cmn 切比雪夫不等式 Qièbǐxuěfū bùděngshì Czech: cs Čebyševova nerovnost f Finnish: fi Tšebyšovin epäyhtälö French: fr inégalité de Tchebychev f German: de tschebyscheffsche Ungleichung f, de Tschebyscheff-Ungleichung f Italian: it disuguaglianza di Čebyšëv f Portuguese: pt desigualdade de Chebyshev f Russian: ru нера́венство Чебышёва n Spanish: es desigualdad de Chebyshov f en Probability theory en eponyms