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## How do you describe a stochastic process as a simple experiment?

Stochastic
process can also be described as a simple experiment (i.e. of tossing a die and
coins) with finite number of possible outcomes, which take place in stages
(i.e. toss a die first, and if the outcomes are certain numbers such as 4 and 6
then toss the first coin and if the outcome of a coin is head then toss the
second coin and if the outcome is a tail, then toss die again and so on). The
outcome of one stage depends on the outcome of the previous stages. The
probability for each possible outcome at particular stage is known when the
outcomes of all previous stages are known. Usually, for Markov Chain, the
stages are called *time*. (Note: if the
stages is *space*, instead of having
Markov Chain, we have Markov Random Field) The finite possible outcomes (i.e.
head, tail, 1-6 of die) are called *states*.
The variable to locate where we are in the experiment is called *random variable*.

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Preferable reference for this tutorial is
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Teknomo, Kardi. (2017) Stochastic Process Tutorial .

http://people.revoledu.com/kardi/tutorial/StochasticProcess/