Editing Bernoulli process (section)

{{Use American English|date = February 2019}}
{{Short description|Random process of binary (boolean) random variables}}
{{More footnotes|date=September 2011}}
{{Probability fundamentals}}

In [[probability]] and [[statistics]], a '''Bernoulli process''' (named after [[Jacob Bernoulli]]) is a finite or infinite sequence of binary [[random variable]]s, so it is a [[discrete-time stochastic process]] that takes only two values, canonically 0 and&nbsp;1. The component '''Bernoulli variables''' ''X''<sub>''i''</sub> are [[Independent and identically distributed random variables|identically distributed and independent]].  Prosaically, a Bernoulli process is a repeated [[coin flipping]], possibly with an unfair coin (but with consistent unfairness).  Every variable ''X''<sub>''i''</sub> in the sequence is associated with a [[Bernoulli trial]] or experiment. They all have the same [[Bernoulli distribution]]. Much of what can be said about the Bernoulli process can also be generalized to more than two outcomes (such as the process for a six-sided die); this generalization is known as the [[Bernoulli scheme]].

The problem of determining the process, given only a limited sample of Bernoulli trials, may be called the problem of [[checking whether a coin is fair]].