# Category:Definitions/Random Variables

This category contains definitions related to Random Variables.
Related results can be found in Category:Random Variables.

Let $\struct {\Omega, \Sigma, \Pr}$ be a probability space.

Let $\struct {S, \Sigma'}$ be a measurable space.

A random variable on $\struct {\Omega, \Sigma, \Pr}$, taking values in $\struct {S, \Sigma'}$, is a $\Sigma \, / \, \Sigma'$-measurable mapping $X : \Omega \to S$.

## Subcategories

This category has only the following subcategory.

## Pages in category "Definitions/Random Variables"

The following 28 pages are in this category, out of 28 total.