Bernoulli process

A finite or infinite sequence of binary random variates, such that it is a discrete-time stochastic process taking only two values, canonically 1 and 0 is known as “Bernoulli process”. The Bernoulli variables components Xi , are identical and independent (i.i.d). Ordinarily, a Bernoulli process is a repeated tossing of an unbiased die, coin flipping, with an unfair coin (with consistent unfairness). Every variable Xi in the sequence is Related with a Bernoulli experiment. They all follow the same Bernoulli distribution. However, the Bernoulli process can be defined for 2 outcomes and can be generalized for more than two outcomes.
The generalization is referred as “barnali scheme” . The problem of determining the process, When only a limited sample of Bernoulli trials is given for example, checking a coin is called the problem of checking whether a coin is fair.