MIT 18.226 Probabilistic Methods in Combinatorics, Fall 2024 - Bounded Differences Inequality (aka Azuma-Hoeffding Inequality)

MIT 18.226 Probabilistic Methods in Combinatorics, Fall 2024 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/courses/18-226-probabilistic-methods-in-combinatorics-fall-2022/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61cYB5ymvFiEbIb-wWHfaqO An important tail bound in probabilistic analysis. A Lipschitz function with independent random inputs is concentrated about its mean. Two applications: (1) coupon collector problem (2) chromatic number of a random graph. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu Support OCW at http://ow.ly/a1If50zVRlQ We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.