Chebyshev inequality
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Chebyshev's inequality — For the similarly named inequality involving series, see Chebyshev s sum inequality. In probability theory, Chebyshev’s inequality (also spelled as Tchebysheff’s inequality) guarantees that in any data sample or probability distribution, nearly… … Wikipedia
Chebyshev's inequality — ▪ mathematics also called Bienaymé Chebyshev inequality in probability theory, a theorem that characterizes the dispersion of data away from its mean (average). The general theorem is attributed to the 19th century Russian mathematician… … Universalium
Chebyshev, Pafnuty Lvovich — ▪ Russian mathematician born May 4 [May 16, New Style], 1821, Okatovo, Russia died November 26 [December 8], 1894, St. Petersburg founder of the St. Petersburg mathematical school (sometimes called the Chebyshev school), who is remembered… … Universalium
Chebyshev's theorem — is a name given to several theorems proven by Russian mathematician Pafnuty Chebyshev Bertrand s postulate Chebyshev s inequality Chebyshev s sum inequality Chebyshev s equioscillation theorem The statement that if the function has a limit at… … Wikipedia
Pafnuty Chebyshev — Chebyshev redirects here. For other uses, see Chebyshev (disambiguation). Pafnuty Chebyshev Pafnuty Lvovich Chebyshev Born May 16, 1821 … Wikipedia
Chebyshev's sum inequality — For the similarly named inequality in probability theory, see Chebyshev s inequality. In mathematics, Chebyshev s sum inequality, named after Pafnuty Chebyshev, states that if and then Similarly, if … Wikipedia
Inequality — In mathematics, an inequality is a statement about the relative size or order of two objects, or about whether they are the same or not (See also: equality) *The notation a < b means that a is less than b . *The notation a > b means that a is… … Wikipedia
Inequality (mathematics) — Not to be confused with Inequation. Less than and Greater than redirect here. For the use of the < and > signs as punctuation, see Bracket. More than redirects here. For the UK insurance brand, see RSA Insurance Group. The feasible regions… … Wikipedia
Paley–Zygmund inequality — In mathematics, the Paley Zygmund inequality bounds theprobability that a positive random variable is small, in terms ofits mean and variance (i.e., its first two moments). The inequality wasproved by Raymond Paley and Antoni Zygmund.Theorem: If… … Wikipedia
Chebyshev's inequality — noun The theorem that in any data sample with finite variance, the probability of any random variable X lying within an arbitrary real k number of standard deviations of the mean is 1 / k, i.e. assuming mean μ and standard deviation σ, the… … Wiktionary
Markov's inequality — gives an upper bound for the measure of the set (indicated in red) where f(x) exceeds a given level . The bound combines the level with the average value of f … Wikipedia
