# Category:Definitions/Examples of Probability Distributions

This category contains definitions of examples of Probability Distribution.

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

Let $X: \Omega \to \R$ be a random variable on $\tuple {\Omega, \Sigma, \Pr}$.

Then the probability distribution of $X$ is the pushforward $X_* \Pr$ of $\Pr$ on $\tuple {\R, \map \BB \R}$, where $\map \BB \R$ denotes the Borel $\sigma$-algebra on $\R$.

## Subcategories

This category has the following 6 subcategories, out of 6 total.

## Pages in category "Definitions/Examples of Probability Distributions"

The following 27 pages are in this category, out of 27 total.