# Category:Random Variables

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This category contains results about **Random Variables**.

Definitions specific to this category can be found in Definitions/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 the following 9 subcategories, out of 9 total.

### C

### D

### I

- Independent Random Variables (2 P)

### J

### R

- Random Vectors (1 P)

### S

- Singular Random Variables (1 P)

## Pages in category "Random Variables"

The following 8 pages are in this category, out of 8 total.