Completed
05:50 Step 1: Equivalence via MGFs
Class Central Classrooms beta
YouTube videos curated by Class Central.
Classroom Contents
Proof of the Central Limit Theorem
Automatically move to the next video in the Classroom when playback concludes
- 1 00:00 Intro
- 2 00:51 Formal Statement of the CLT
- 3 03:48 Equivalent Statements of the CLT
- 4 05:50 Step 1: Equivalence via MGFs
- 5 08:20 Step 2: MGF of Sample Mean wrt MGF of X
- 6 10:24 Step 3: Taylor Expansion
- 7 13:28 Step 4: Normalization Terms in MGF
- 8 16:10 Step 5: Normalization Terms in Taylor Expansion
- 9 18:11 Step 6: Taking the Limit
- 10 20:38 Reviewing the Proof
- 11 25:35 Outro
