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

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

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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 😁

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

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

dewinmoonl
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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!

Kuro-ucjp
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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!

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

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

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

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

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

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

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

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

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

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

EverinaChonya
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greeat
simple straightforward explanation

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

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

jacobblack
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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 👍👍

AlanSadeeq
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Didn't expect that. Wow, very good explanation

grjesus
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