Probability generating function

Discrete random variables X satisfies \ (P (X = I) = P_i \) , we define \ (f (x) = \ sum_ {i} p_ix ^ it \) of \ (X \) is the probability generating function.

nature:

f(1)=1

X is desirably \ (f '(1) \ )

As for the variance you can own push,

Binomial distribution \ (B ~ (n, p ) \) of \ (f (x) = ( px + 1-p) ^ n \)

It represents a random variable by multiplying the sum of two random variables

There are also nested operations, it seems to be the representative of multiplying? Specifically remember. Elderly retired players decadent cause brain memory loss.

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Origin www.cnblogs.com/oier/p/12077496.html