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[1] [2] The term Chebyshev's inequality may also refer to Markov's inequality, especially in the context of analysis. They are closely related, and some authors refer to Markov's inequality as "Chebyshev's First Inequality," and the similar one referred to on this page as "Chebyshev's Second Inequality."
1 Solution. Toggle Solution subsection ... Bound the desired probability using the Chebyshev inequality: ... (1995), "8.4 The coupon collector's problem solved", The ...
In mathematics, Chebyshev's sum inequality, named after Pafnuty Chebyshev, states that if ... There is also a continuous version of Chebyshev's sum inequality:
In probability theory, the multidimensional Chebyshev's inequality [1] is a generalization of Chebyshev's inequality, which puts a bound on the probability of the event that a random variable differs from its expected value by more than a specified amount.
In mathematical analysis, the Chebyshev–Markov–Stieltjes inequalities are inequalities related to the problem of moments that were formulated in the 1880s by Pafnuty Chebyshev and proved independently by Andrey Markov and (somewhat later) by Thomas Jan Stieltjes. [1]
Cantelli's inequality; Chebyshev's inequality; Chernoff's inequality; Chung–Erdős inequality; Concentration inequality; Cramér–Rao inequality; Doob's martingale inequality; Dvoretzky–Kiefer–Wolfowitz inequality; Eaton's inequality, a bound on the largest absolute value of a linear combination of bounded random variables; Emery's ...
While the inequality is often attributed to Francesco Paolo Cantelli who published it in 1928, [4] it originates in Chebyshev's work of 1874. [5] When bounding the event random variable deviates from its mean in only one direction (positive or negative), Cantelli's inequality gives an improvement over Chebyshev's inequality. The Chebyshev ...
More specifically, the Millennium Prize version of the conjecture is that, if the elliptic curve E has rank r, then the L-function L(E, s) associated with it vanishes to order r at s = 1. Hilbert's tenth problem dealt with a more general type of equation, and in that case it was proven that there is no algorithmic way to decide whether a given ...