Generating Functions, Taylor Series, Taylor Theorem, Central Limit Theorem, Deep Dives.
the MGF of a random variable (in this case, Z) that is scaled by a constant (in this case, 1/√n) as follows: (Image by Author) With that, we have converted our original goal of finding the MGF of Z_bar_n into the goal of finding the MGF of Z/√n. M_Z(t/√n) is a function like any other function that