Definition:Bernoulli Process

A Bernoulli process is a sequence (either finite or infinite) of Bernoulli trials, each of which has the same parameter $$p$$.

That is, Bernoulli process (with parameter $$p$$) is a sequence $$\left \langle {X_i}\right \rangle$$ (either finite or infinite) such that:


 * The value of each $$X_i$$ is one of two values (for example: $$a$$ or $$b$$).


 * The probability that $$X_i = a$$ is the same for all $$i$$ (for example: $$p$$).

That is, it is a sequence of experiments, all of which can be modelled by the same Bernoulli distribution.

Note: The assumption is that the outcomes of all the Bernoulli trials are independent.