Factorization Theorem for Sufficient Statistics

Step by step, I work through the definition of sufficient statistic (intuitive vs formula, showing them equal) then interpreting the claim made in the factorization theorem, and then line by line, I give a proof of the discrete case in both directions.

[existentialrap]

Thx, Doc. We in the streets turning up to this one. Using exponential families right now for most sufficient statistic work, but I am hoping to get this theorem down well.
Also, you looking sharp, homie. I like the haircut and fit. Fresh.

[petrussd]

This is the most exact sufficiency video ever.

[pranavchandrav]

I'm studying to be an actuary, a big thanks to you for making these!

[goosecouscous]

Watching this 30 mins before my final exam. Thank u 😭😭😭

[aartikadu]

Your research behind the video, is crystally clear, making very easy to understand.
Kindly we want more statistical videos. 😄

[williamkinum]

This video was incredibly helpful! Thank you for posting this.

[yifuli]

Hey, great stuff. Please keep up the good work. Much love!