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

prove McDiarmid's inequality. The Doob martingale was introduced by Joseph L. Doob in 1940 to establish concentration inequalities such as McDiarmid's inequality...

Hoeffding's inequality was proven by Wassily Hoeffding in 1963. Hoeffding's inequality is a special case of the Azuma–Hoeffding inequality and McDiarmid's inequality...

is also used to prove Hoeffding's inequality, Bennett's inequality, and McDiarmid's inequality. The generic Chernoff bound for a random variable X {\displaystyle...

} In scalar setting, McDiarmid's inequality provides one common way of bounding the differences by applying Azuma's inequality to a Doob martingale....

supermartingale falls). This general form of Azuma's inequality applied to the Doob martingale gives McDiarmid's inequality which is common in the analysis of randomized...

thermodynamics. Borell–TIS inequality Gaussian isoperimetric inequality McDiarmid's inequality Talagrand's concentration inequality Asymptotic equipartition...

by at most b i − a i < C {\displaystyle b_{i}-a_{i}<C} . Hence, McDiarmid's inequality can also be used and it yields a similar bound: Pr [ | S n − E n...

Kolmogorov's inequality Kunita–Watanabe inequality Le Cam's theorem Lenglart's inequality Marcinkiewicz–Zygmund inequality Markov's inequality McDiarmid's inequality...

Jensen's inequality. Hoeffding's lemma is itself used in the proof of Hoeffding's inequality as well as the generalization McDiarmid's inequality. Let X...

at random) McCullagh's parametrization of the Cauchy distributions McDiarmid's inequality McDonald–Kreitman test – statistical genetics McKay's approximation...

(2020). "A Drift Detection Method Based on Diversity Measure and McDiarmid's Inequality in Data Streams". Green, Pervasive, and Cloud Computing. Lecture...

finite sample sizes. And unlike bounds based on inequalities such as Hoeffding's and McDiarmid's inequalities, CDF-based bounds use properties of the entire...

Marcinkiewicz–Zygmund inequality / mnt Markov's inequality / (1:R) McDiarmid's inequality Multidimensional Chebyshev's inequality Paley–Zygmund inequality / (1:R) Pinsker's...

Income inequality in the UK". UK Parliament. Archived from the original on 10 February 2022. Retrieved 1 July 2023. "Inequality – Income inequality – OECD...

experiments with entangled photons, establishing the violation of Bell inequalities and pioneering quantum information science" 2021 Syukuro Manabe Shinritsu...

levels of perceived corruption in the world. It retains visible levels of inequality, having structural disparities between its Māori and European populations...

climate change affects human health, climate change exacerbates existing inequalities and challenges in managing infectious disease. Reliable access to clean...

equals the clique number, and can be replaced by the clique number in this inequality. The other direction can be proved directly, but it also follows from...

broadcast on 10 April 1965 about the protest in the Regatta Hotel "WOMEN and INEQUALITY". The Australian Women's Weekly. Vol. 34, no. 26. Australia. 23 November...

100) The Equality Act 2010 (Authorities subject to the Socio-economic Inequality Duty) (Scotland) Regulations 2018 (S.S.I. 2018 No. 101) The Criminal Justice...

sanitation options. There are inequalities in access to water, sanitation and hygiene services.: 11  Such inequalities are for example related to income...

1007/978-1-84800-986-8_1. ISBN 978-1-84800-985-1. Brown, M. (1980). "Bounds, Inequalities, and Monotonicity Properties for Some Specialized Renewal Processes"...

from the original on 24 September 2018. Retrieved 24 September 2018. McDiarmid, Jessica (2019). Highway of Tears: A True Story of Racism, Indifference...

issues of gender inequality. Through lobbying efforts and activism, feminists pushed for legal reforms to address institutional inequalities and provide platforms...

1016/0012-365X(89)90212-4, MR 0989136. Szekeres, George; Wilf, Herbert S. (1968), "An inequality for the chromatic number of a graph", Journal of Combinatorial Theory...

age can be caused by "systemic reproduction of historical legacies of inequality", for example as part of "(post)colonial, (post)apartheid, and poverty...

covertly in "Scots Wha Hae", Scottish patriotism, anticlericalism, class inequalities, gender roles, commentary on the Scottish Kirk of his time, Scottish...

political poetry thematizes Mexican-American empowerment and addresses inequality. According to critic Adolfo Ortega: "Chicano poetry [was] an aesthetic...

Richard Askey, mathematician, the Askey–Wilson polynomials and Askey–Gasper inequality are partially named for him Sanjay Asthana, Alzheimer's disease researcher...