# Stochastic dependence

*probabilistic dependence, statistical dependence*

A dependence between random variables that is expressed by a change of the conditional distribution of any of the variables when the other variables are altered. There are many forms of stochastic dependence: if the random variables are not mutually independent, they have to a greater or lesser degree the property of stochastic dependence. One of the most common types of stochastic dependence is correlation dependence (see Correlation (in statistics); Regression). Of the concrete forms of stochastic dependence, the most studied is Markov dependence (see Markov chain; Markov process; Markov property).

See also Stochastic process; Stationary stochastic process.

**How to Cite This Entry:**

Stochastic dependence. A.V. Prokhorov (originator),

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Stochastic_dependence&oldid=18124