Generating Functions, Taylor Series, Taylor Theorem, Central Limit Theorem, Deep Dives.
+ bE(Y), we can move the Expectation operator inside the summation as follows: (Image by Author) Recall that E(X^k] are the raw moments of X for k = 0,1,23,… Let’s compare Eq. (2) with the general form of an Exponential Generating Function: The Exponential Generating Function (Image by Author) What