Probabilistic inequalities | Martingale theory | Statistical inequalities

McDiarmid's inequality

In probability theory and theoretical computer science, McDiarmid's inequality is a concentration inequality which bounds the deviation between the sampled value and the expected value of certain functions when they are evaluated on independent random variables. McDiarmid's inequality applies to functions that satisfy a bounded differences property, meaning that replacing a single argument to the function while leaving all other arguments unchanged cannot cause too large of a change in the value of the function. (Wikipedia).

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Summary for solving one variable inequalities

👉 Learn about solving an inequality and graphing it's solution. An inequality is a relation where the expression in the left hand side is not equal to the expression in the right hand side of the inequality sign. A linear inequality is an inequality whose highest power in the variable(s) i

From playlist Solve and Graph Inequalities | Learn About

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Ex 1: Solve a Quadratic Inequality

This video explains how to solve a quadratic inequality in factored form. It is explained by hand and graphically. Site: http://mathispower4u.com Blog: http://mathispower4u.com

From playlist Solving Quadratic Inequalities

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The Difference Between a Linear Equation and Linear Inequality (Two Variables)

This video explains the difference between a linear equation and linear inequality in two variables.

From playlist Solving Linear Inequalities in Two Variables

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How to solve and graph one variable inequalities

👉 Learn about solving an inequality and graphing it's solution. An inequality is a relation where the expression in the left hand side is not equal to the expression in the right hand side of the inequality sign. A linear inequality is an inequality whose highest power in the variable(s) i

From playlist Solve and Graph Inequalities | Learn About

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Solving and graphing a linear inequality

👉 Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-ste

From playlist Solve and Graph Inequalities | Multi-Step Without Parenthesis

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Why do we have to flip the sign when we divide or multiply by negative one - Cool Math

👉 Learn about solving an inequality and graphing it's solution. An inequality is a relation where the expression in the left hand side is not equal to the expression in the right hand side of the inequality sign. A linear inequality is an inequality whose highest power in the variable(s) i

From playlist Solve and Graph Inequalities | Learn About

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Solving and graphing a one variable inequality with variable on both sides

👉 Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-ste

From playlist Solve and Graph Inequalities | Multi-Step Without Parenthesis

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Covariance (1 of 17) What is Covariance? in Relation to Variance and Correlation

Visit http://ilectureonline.com for more math and science lectures! To donate:a http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the difference between the variance and the covariance. A variance (s^2) is a measure of how spread out the numbers of

From playlist COVARIANCE AND VARIANCE

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Algebra - Ch. 31: Linear Inequality in 2 Variables (2 of 14) Differences

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the difference between “greater-than or equalto” and “greater-than”, and “less-than or equal to” and “less-than” graphi

From playlist ALGEBRA CH 31 LINEAR INEQUALITIES IN 2 VARIABLES

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How to Solve Inequalities (NancyPi)

MIT grad explains solving inequalities. This video focuses on solving linear inequalities. It shows when to switch the sign of the inequality, if you divide or multiply by a negative number, and is an introduction to how to solve inequalities in algebra. To skip ahead: 1) For a basic examp

From playlist Algebra

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Compound Inequalities 9 Examples including Fractions & Interval Notation

I start by defining Compound Inequalities & explaining the difference between "and" and "or" statements Inequality to Number Line examples at 2:03 7:01 8:44 Number Line to Inequality examples at 11:01 14:19 16:55 These examples include Interval Notation. Solving a Compound Inequality exa

From playlist Algebra 1

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Concentration of quantum states from quantum functional (...) - N. Datta - Workshop 2 - CEB T3 2017

Nilanjana Datta / 24.10.17 Concentration of quantum states from quantum functional and transportation cost inequalities Quantum functional inequalities (e.g. the logarithmic Sobolev- and Poincaré inequalities) have found widespread application in the study of the behavior of primitive q

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

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Radek Adamczak: Functional inequalities and concentration of measure II

Concentration inequalities are one of the basic tools of probability and asymptotic geo- metric analysis, underlying the proofs of limit theorems and existential results in high dimensions. Original arguments leading to concentration estimates were based on isoperimetric inequalities, whic

From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability

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Joe Neeman: Gaussian isoperimetry and related topics II

The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence

From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability

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Lesson 12 Module 3 video

Grade 7: Module 3 Lesson 12 on Inequalities

From playlist Eureka Math Grade 7 Module 3

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What are compound inequalities

👉 Learn all about solving and graphing compound inequalities. An inequality is a statement in which one value is not equal to the other value. A compound inequality is a type of inequality comprising of more than one inequalities. To solve a compound inequality, we use inverse operations

From playlist Solve Compound Inequalities

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Minkowski's inequality

This is a basic introduction to Minkowski's inequality, which has many applications in mathematics. A simple case in the Euclidean space R^n is discussed with a proof provided.

From playlist Mathematical analysis and applications

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Solving a multi step inequality

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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Nexus Trimester - Randall Dougherty (Center for Communications Research)

Entropy inequalities and linear rank inequalities Randall Dougherty (Center for Communications Research) February 16, 2016 Abstract: Entropy inequalities (Shannon and non-Shannon) have been used to obtain bounds on the solutions to a number of problems. When the problems are restricted t

From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme

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Variance | Graph (discrete mathematics) | Expected value | Doob martingale | Glossary of probability and statistics | Probability theory | Statistical learning theory | Concentration inequality | Theoretical computer science | Bennett's inequality | Boole's inequality | List of probability topics | Chernoff bound | Catalog of articles in probability theory | Triangle inequality | Azuma's inequality