# What is the minimum ingredients to construct a stochastic process in discrete time?

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A stochastic process in discrete time n ∈ $$N$$ = {0, 1, 2, . . .} is a sequence of random variables (rvs) $$X_0, X_1, X_2$$, . . . denoted by $$X = \{X_n : n ≥ 0\}$$. ...

what is the minimum ingredients to construct a stochastic process in discrete time?

1. state space in discrete time, whose dimension $$\geq 1$$
2. a sequence of random variables, whose length $$\geq 1$$

are these everything all you need to construct a stochastic process?

if yes, is a stochastic process the sequence $$(X_0)$$ which has only one elements? where the state space = {0,1}