What is a Moment Generating Function (MGF)? ('Best explanation on YouTube')

Explains the Moment Generating Function (m.g.f.) for random variables.

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[КатяКузьмина-мз]

About three years ago I watched a lot of your videos when I was a ms student and took Digital Signal Processing course. Now I am already a Phd and having Stochastic Methods in Mathematical Modelling. The long search again took me to your videos :)
Thanks for being so good in teaching 😁

[jules]

What a clever method of calculating moments. Hats off to the person who discovered this.

[dewinmoonl]

hey lain, this is the _best_ explanation on MGF on YT. I would totally recommend this.

[Kuro-ucjp]

I cannot believe that after both an introductory and an advanced module in probability MGF was never presented like this to me, everything makes so much more sense now. Thank you!

[yelloshado]

Huge thanks from Germany for this explanation! Somehow, I just didn't understand what the MGF was doing and what it is used for and this was the only video I could find that showed exactly that instead of skipping to examples. Saved my day!

[papername]

Truly the best explanation on Youtube. By far! Thank you so much.

[dumaloocanplay]

Hands down the best explanation of MGF. Simple, crisp and to the point. You've earned a sub :)
Thanks lain!

[elliott]

Oh my god, this is such a good explanation!! Thank you!!

[caspervanberloo]

This saved half of a two hour lecture, thanks so much!

[leolei]

Really appreciate! I finally understand what moment and moment generating function are.

[rishabpradhan-]

The explanation was so good and made me realize the usefulness of MGF. Thanks from India.

[patchanok]

This really is the best explanation! I learned this stuff at uni and understood nothing. Thank you!

[aravindpradeep]

This is indeed the best explanation of MGF on YouTube ! Thank you so much :)

[prithviprakash]

Great explanation. Cleared up a great deal of my confusion, hope to learn more. Subscribed!

[EverinaChonya]

You are so good at it, it's amazing you explain it very good...

[competitivedoubt]

greeat
simple straightforward explanation

[ming]

Only watched one video about MGF on YouTube and I would say this is the best

[jacobblack]

Really it is nice and justifies the title, don't know why other teachers don't start with explaining these basics

[AlanSadeeq]

I have been struggling with the moment generating function for a very long time and tmr I have an exam but this video is gem 💎 you explained much better than my professor, I feel confident thanks 👍👍

[grjesus]

Didn't expect that. Wow, very good explanation