Generating Functions, Taylor Series, Taylor Theorem, Central Limit Theorem, Deep Dives.
first moment (mean) as 0, the second moment (variance) as 1, the third moment (skew) as 0, and the fourth moment (kurtosis) as 1. And with that, the machinery we need to prove the CLT is in place. Proof of the Central Limit Theorem Let X_1, X_2,…,X_n be ’n’ i. i. d. random variables that form a