Probabilistic inequalities | Martingale theory

Azuma's inequality

In probability theory, the Azumaโ€“Hoeffding inequality (named after Kazuoki Azuma and Wassily Hoeffding) gives a concentration result for the values of martingales that have bounded differences. Suppose is a martingale (or super-martingale) and almost surely. Then for all positive integers N and all positive reals , And symmetrically (when Xk is a sub-martingale): If X is a martingale, using both inequalities above and applying the union bound allows one to obtain a two-sided bound: (Wikipedia).

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Solving an absolute value inequality by switching the signs

๐Ÿ‘‰ Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

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Jeff Calder: "An intro to concentration of measure with applications to graph-based l... (Part 2/2)"

Watch part 1/2 here: https://youtu.be/Q5fB5Ldzo-g High Dimensional Hamilton-Jacobi PDEs Tutorials 2020 "An introduction to concentration of measure with applications to graph-based learning (Part 2/2)" Jeff Calder, University of Minnesota - Twin Cities Abstract: We will give a gentle in

From playlist High Dimensional Hamilton-Jacobi PDEs 2020

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Solving an absolute value inequality

๐Ÿ‘‰ Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

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Solving an absolute value inequality using an and compound inequality

๐Ÿ‘‰ Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

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Solving and graphing an absolute value inequality with an or inequality

๐Ÿ‘‰ Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

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London to Leeds by LNER Azuma

A journey by LNER Azuma train from London to Leeds, showing first class, standard class, buffet counter, and the journey. Fares from ยฃ16. For a guide to train travel in Britain see https://www.seat61.com/train-travel-in-britain.htm 0:00 Kings Cross station 0:29 Kings Cross LNER first cl

From playlist Train Travel in the UK & Ireland

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A Combinatorial Proof of the Chernoff-Hoeffding Bound...- Valentine Kabanets

Valentine Kabanets Simon Fraser University; Institute for Advanced Study March 30, 2010 We give a simple combinatorial proof of the Chernoff-Hoeffding concentration bound for sums of independent Boolean random variables. Unlike the standard proofs, our proof does not rely on the method of

From playlist Mathematics

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Jeff Calder: "An intro to concentration of measure with applications to graph-based l... (Part 1/2)"

Watch part 2/2 here: https://youtu.be/O20JHvI-MqE High Dimensional Hamilton-Jacobi PDEs Tutorials 2020 "An introduction to concentration of measure with applications to graph-based learning (Part 1/2)" Jeff Calder, University of Minnesota - Twin Cities Abstract: We will give a gentle in

From playlist High Dimensional Hamilton-Jacobi PDEs 2020

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How to solve a one variable absolute value inequality or statement

๐Ÿ‘‰ Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

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London to Edinburgh by train with LNER

A journey from London Kings Cross to Edinburgh Waverley by LNER Azuma train, showing the stations, the train, first class, standard class, the food, scenery and sights along the way. For practical information on London Edinburgh train times, fares & tickets see https://www.seat61.com/lond

From playlist Train Travel in the UK & Ireland

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Solve and graph an absolute value inequality

๐Ÿ‘‰ Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

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Solve and graph an absolute value inequality

๐Ÿ‘‰ Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

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Solving and graphing a two step absolute value inequality

๐Ÿ‘‰ Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

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Is Super Mario Brothers A Surrealist Masterpiece?

Viewers like you help make PBS (Thank you ๐Ÿ˜ƒ) . Support your local PBS Member Station here: https://to.pbs.org/donateidea Itโ€™sa meโ€ฆ the unexpected combination of visual elements We can look at Mario, and his 30+ year series of ultra-beloved games and then also look at surrealist visual a

From playlist Newest Episodes

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RailsConf 2018: Containerizing Rails: Techniques, Pitfalls, & Best Practices by Daniel Azuma

Techniques, Pitfalls, & Best Practices by Daniel Azuma Ready to containerize your Rails application? Then this session is for you. We'll walk through the process of deploying a nontrivial Rails app to Kubernetes, focusing on effective container design. You'll learn techniques and best pra

From playlist RailsConf 2018

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How to solve and graph an absolute value inequality

๐Ÿ‘‰ Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

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The Best Dragon (According to Science)

Check out Extra Credits' video: The Origin of Dragons https://www.youtube.com/watch?v=rL8qSfXIo4M We ranked dragons based on how biologically and evolutionarily plausible they are. Thanks also to our Patreon patrons https://www.patreon.com/MinuteEarth and our YouTube members. ___________

From playlist Evolution

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RailsConf 2021: Serverless Rails: Understanding the pros and cons - Daniel Azuma

Serverless is widely lauded as the ops-free future of deployment. Serverless is widely panned as a gimmick with little utility for the price. Whoโ€™s right? And what does it mean for my Rails app? This session takes a critical look at serverless hosting. Weโ€™ll consider the abstractions unde

From playlist RailsConf 2021

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Simple way to solve an absolute value inequality by rewriting as compound inequality & graph

๐Ÿ‘‰ Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

Related pages

Sergei Bernstein | Exponential decay | Hoeffding's lemma | Randomized algorithm | Doob martingale | Almost surely | Bernstein inequalities (probability theory) | Probability theory | Measurable function | Martingale (probability theory) | Concentration inequality | Predictable process | Doob decomposition theorem | Real number | Chernoff bound | Filtration (probability theory)