Editing Probability-generating function (section)

==Related concepts==

The probability generating function is an example of a [[generating function]] of a sequence: see also [[formal power series]]. It is equivalent to, and sometimes called, the [[z-transform]] of the probability mass function.

Other generating functions of random variables include the [[moment-generating function]], the [[Characteristic function (probability theory)|characteristic function]] and the [[cumulant generating function]]. The probability generating function is also equivalent to the [[factorial moment generating function]], which as <math>\operatorname{E}\left[z^X\right]</math> can also be considered for continuous and other random variables.

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