Chebyshev's Inequality ... Made Easy!

Learn about Markov's Inequality first: • Markov's Inequality .....
This video teaches about Chebyshev's Inequality, an important extension of Markov's Inequality with many applications in statistics and machine learning.

[@SevenSinshu]

bro u taught me basically 1 year of math in 9 mins , ty so much , please keep up the amazing work

[@statswithbrian]

Thank you, glad you enjoyed it!

[@danielnelson6131]

Thank you so much for these vids! These visuals make these concepts so much more clear to me!

[@abrrrik]

awesome!

[@lted6924]

may I ask the differences with chernoff bound and chebyshev inequality

[@statswithbrian]

Chernoff bounds are a further extension - in Markov’s we use the mean, in Chebyshev’s we use the variance, but in Chernoff bounds we use the moment generating function which gives us an even better bound. If you look at the Chernoff bound Wikipedia page, you’ll see the proof is very similar to this Chebyshev proof, as an extension of Markov.

[@lted6924]

thanks

[@Egor-nr7kx]

Awesome! Came here after the Markov's inequality. Simple explanation and with real practical examples. I subscribed to you and liked your videos. Thank you for your work

[@olaoluwaodeyemi4059]

Well done! Thanks for the vid, however the video is a bit too complicated for me.

[@TousibAhmedBPSO-kq1nk]

Ain't no one teaches statistics like you ❤
Thankyou soo much for giving such elaborative explanations..
And your illustrations regarding these inequalities made them very simple to understand

[@AnhTran-b8e]

life saver without himself knowing!

[@pod_kreska8057]

Good explanation. Thank for it :)

[@statswithbrian]

Thank you!

[@Chimprovement]

The apply doesn't fall far from the tree.

[@self_console]

Thank you for video 😊
Love from India ❤

[@5romir]

Thank you!

[@LuksYang]

Send love to U! Your Mic is getting better

[@statswithbrian]

Thanks, I got a new microphone so the only video with the old microphone is the Markov's inequality one :) All other current videos and future ones should have very good audio!

[@AaryanNagpal]

Awesome video!

[@statswithbrian]

Thank you, glad you enjoyed it!

[@adaogmailcom]

How wonderful it is to be able to understand it. Thanks again.

[@statswithbrian]

Thank you! Glad it was helpful!