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

best lecture ever ..great explanation

Great explanation... basically differentiation "unzips" the desired polynomial term.

I finally understand how the MGF works. Thanks for the video, it was really helpful!

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

The PDF isn’t always assumed to exist. Another way is to express the MGF in terms of the CDF by the integral over R of the product of (1 - CDF) and te^tx.

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!

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

could you please record a new vedio talking about the fisher information,please? I really love your vedios!!!

You have made a very tricky subject so simple!

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

Didn't expect that. Wow, very good explanation

Why my doctor didn’t explain that like you, it’s easy, but the doctor in University make it hard

Heavenly father

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Loved you explanation, thanks so much!!

Thanks you very much 🙏🙏

The explanation was very detailed, and watching your video was simply an enjoyment. Thank you!

goat

Brilliant 💯

Thanks, you are amazing.

just perfect

Thanks

السلام عليكم ورحمة الله وبركاته يا دكتور إذا ممكن انا عايزه تساعدني في حل هذه المسألة

1 find Moment generating function distribution 2 find E(x)and var(x)

Thank you, thank you, thank you....Thank you SOOOOO MUCH!!!! This was so well explained. Sir you are an absolute legend!!! I have been trying to grasp this for hours, until I found your video....

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 😁

Nice!

Very Good Explanation...Thank You

Thank you

Thanks a lot for the clear explanation!

awesome!

Having seen so many resources on the topic of MGF, this is the BEST one that I found so far!

thank you uve explained this way better than melbourne uni's probability class

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

Is this derivation for moment generating function of binomial distribution?

Thank you so much!!

What a beautiful explanation!! Thanks a lot!!

Thanks so much my tutor can learn from you haha

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

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!

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

Thanks. It was very helpful to understand this concept.

You actually saved my life right now

Thank you for the informative video

Thank you for making these great videos ~

How do I like this video twice. Crystal clear now.

Great video