Chebyshev's Inequality

[@SpartacanUsuals]

Hi, I'm glad you liked it! I am planning to continue with these videos. If you have any specific requests however, please let me know! Thanks, Ben

[@avantikatewari1052]

Thank you so much for your playlist on limit theorems! Such a great help.

[@eduardoescoto8806]

This video cleared up for me what hours of trying to understand it from lecture and reading my textbook couldn't do! Thank you so much for the great videos!

[@SpartacanUsuals]

Hi, glad to hear the videos have reached you over there! Ok - I will definitely be covering maximum likelihood in the next few weeks, and will also be covering monte carlo methods and ratio tests at some point as well. I will see what I can do re: rejection sampling! If you subscribe to me you should get notified when I put the new videos up. Best, Ben

[@ibniamin4791]

A few minutes video shrunk hours distance between me and ChebyShev's. Thank you!!

[@saiabineshnatarajan8999]

A great resource to avoid the hassle of loooking up the textbook or your own notes.. Nailed Chebychev in 3 minutes.. Respected Sir!

[@davidfield5295]

I literally watched 10 other videos to find an intuitive proof of chebyshevs inequality until I finally found this video. This video was great.

[@JamesCPinkerton]

You should mention that in Markov's inequality, X is a non-negative random variable.

[@AgnesJames-w5c]

Was applauded years ago but simple and straight forward thanks have been helped

[@geostat12]

I had a hard time following this one back in my undergraduate days in the University of the Philippines. Now it makes sense!

[@samshithadevi4692]

Thanks for the clarity p([x-m]>=a) is a two sided equation which has >= in the middle, so squaring both sides will give to p([x-m]^2>=a^2). so we can use either equation to plug in the final equation.Well this is my understanding, and if it is correct then your explanation is "Crystal Clear for Me"

[@SpartacanUsuals]

Hey, you are nearly there. It is actually because of the modulus sign around the x-m. Imagine that m is the number 1, and a is 2. There are two ways that the difference between x and m can be greater than or equal to 2. Either x is greater than or equal to 3, or x is less than or equal to -2. These two situations are captured by squaring both sides. If is less than -2 then x minus m squared is greater than or equal to 9 for example. Similarly if x is greater than 3.

[@afifkhaja]

Fantastic video! Your explanations are very clear and concise. Please continue making videos on mathematical statistics.

[@archer8629]

Great video!

[@aaronz5072]

Thank you for making this video! And please paste your last video address. You skipped a step I think is worth to add E^2(x)

[@jensenlow4376]

Great video Ben! Thanks for helping

[@SpartacanUsuals]

Very clear even to me in SA. Sadly download speed is slow but not much that you can do about that.

[@christophersherwood6514]

CHEBS!

[@haneulkim4902]

Thanks for amazing video! Any book recommendation on statistics guys?

[@Thaneym]

Good video, despite low volume.

[@SpartacanUsuals]

Hi, thanks. I will do my best to make the volume louder. Best, Ben

[@Kurtlane]

Somebody - anybody - please write or tell somebody to write a biography (a book) of Pafnuty Chebyshev. I cannot find any book in either English or Russian. And please, whoever writes it, go easy on his facts of life, but heavy on the math, while still approachable for a general reader. He was a major mathematician. It's a pity there is no decent-size biography about him.

[@ducnguyen4973]

Thank you a lot, this video helped me so much

[@samshithadevi4692]

Again a Very good video, but again i have i question!, how on earth was p([x-m]>=a) and p([x-m]^2>=a^2) are equal. OH it makes me feel statistics is not about maths but about magic!. Could you elaborate a little more on this. Thanks in Advance

[@Ash-vu5vo]

Congrats on being the only other viewer who questions things. The world is full of rubbish teachers who need to be held accountable.

[@BethelMakoni]

Thanks a lot! This helped

[@elfadlaouielfadel932]

machaallah, meaningful analysis, well done

[@afifkhaja]

I'm an undergrad stats major at UIC, so I'll be taking a lot of mathematical statistics courses in my final year. A few topics we'll be covering are: rejection sampling, monte carlo methods, maximum likelihood estimation, and ratio tests, I'll let you know if more topics come up. Thank you!!!

[@z.khaledi]

Great! do you have a website?

[@SpartacanUsuals]

Hi, yes I do - if you click on the link below the video that would take you to my website. Best, Ben

[@davidgg8462]

Very good, thank you the typo could Be a bit better ....😂

[@MrKdes187]

how would you derive it without using markovs inequality. ie through V(X)= E(X-E(X))^2

[@achillesarmstrong9639]

nice video

[@varshavski]

a>0

[@SpartacanUsuals]

Hi, I have just sent you a message. Let me know if still unclear.

[@Ash-vu5vo]

Another rubbish maths vid aimed at sheeple. It’s disturbing how many people actually think they understand when they clearly don’t - only one comment (among all the thank yous) which asks why P((x - m)^2 >= a^2) can be swapped in. |x - m| >= a implies (x - m)^2 >= a^2, sure, that’s easily seen, but we are talking about their probabilities here. This comment was obviously not addressed as lotta steps in the middle to get to this result.

[@cjs3298]

Sir pls give me the full explanation sir, then only I can convey it to my students sir

[@noahmgable]

wow...

[@haneulkim4902]

Thanks for amazing video! Any book recommendation on statistics guys?