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Markov's inequality or Chebyshev's inequality. The Chernoff bound is related to the Bernstein inequalities. It is also used to prove Hoeffding's inequality, Bennett's...

Mathematical Society. Chernoff turned 100 on July 1, 2023. Chernoff bound (also known as Chernoff's inequality) Chernoff face Chernoff's distribution Bather...

Azuma's inequality Bernoulli's inequality Bell's inequality Boole's inequality Cauchy–Schwarz inequality Chebyshev's inequality Chernoff's inequality Cramér–Rao...

statistician and physicist Chernoff bound, also called Chernoff's inequality Chernoff face Chernoff's distribution Maxine Chernoff (born 1952), American novelist...

Probability inequalities. Springer. p. 52. Ramdas, Aaditya; Manole, Tudor, Randomized and Exchangeable Improvements of Markov's, Chebyshev's and Chernoff's Inequalities...

Borell–TIS inequality BRS-inequality Burkholder's inequality Burkholder–Davis–Gundy inequalities Cantelli's inequality Chebyshev's inequality Chernoff's inequality...

_{k}\}} is a finite sequence of random matrices. Analogous to the well-known Chernoff bound for sums of scalars, a bound on the following is sought for a given...

apply the central limit theorem, law of large numbers, Chernoff's inequality, Chebyshev's inequality or similar tools. When analyzing similar objects where...

asymptotic equipartition property applied to a Bernoulli trial. Then by Chernoff's inequality, it can be shown that P ( M N > x ) < exp ⁡ ( − N I ( x ) ) {\displaystyle...

but might not be. Chernoff's inequality Edgeworth series List of inequalities List of mathematical theorems Concentration inequality Since the random variables...

used concentration inequalities, the Paley-Zygmund inequality provides a lower bound on the deviation probability. The generic Chernoff bound: 63–65  requires...

case of the Azuma–Hoeffding inequality and McDiarmid's inequality. It is similar to the Chernoff bound, but tends to be less sharp, in particular when...

Bernstein inequalities are also known as the Chernoff bound, Hoeffding's inequality and Azuma's inequality. The martingale case of the Bernstein inequality is...

bound Chemometrics Chernoff bound – a special case of Chernoff's inequality Chernoff face Chernoff's distribution Chernoff's inequality Chi distribution...

Markov's inequality Chebyshev's inequality = Chernoff bound Chernoff's inequality Bernstein inequalities (probability theory) Hoeffding's inequality Kolmogorov's...

would later be named a Bell inequality. Bell then showed that quantum physics predicts correlations that violate this inequality. Multiple variations on Bell's...

In probability theory, the Azuma–Hoeffding inequality (named after Kazuoki Azuma and Wassily Hoeffding) gives a concentration result for the values of...

(VaR) and the conditional value at risk (CVaR), obtained from the Chernoff inequality. The EVaR can also be represented by using the concept of relative...

theoretical computer science, McDiarmid's inequality (named after Colin McDiarmid ) is a concentration inequality which bounds the deviation between the...

repeatedly (or in parallel) over random subsets of input data, and, per Chernoff inequality, the median of the results will converge to solution very fast. For...