Wald's martingale

In probability theory, Wald's martingale is the name sometimes given to a martingale used to study sums of i.i.d.

random variables.

It is named after the mathematician Abraham Wald, who used these ideas in a series of influential publications.

[1][2][3] Wald's martingale can be seen as discrete-time equivalent of the Doléans-Dade exponential.

be a sequence of i.i.d.

random variables whose moment generating function

is finite for some

defined by is a martingale known as Wald's martingale.

This probability-related article is a stub.

You can help Wikipedia by expanding it.