# Univariate Distribution

A univariate distribution is the probability distribution of a single random variable. For example, the energy formula (x – 10)2/2 is a univariate distribution because only one variable (x) is given in the formula. In contrast, bivariate distributions have two variables and multivariate distributions have two or more.

## Types of Univariate Distribution

Hundreds of univariate distributions exist: some are more common than others. Many of these probability distributions are closely connected via transformations, some of which can be inverted. Transformations can include:

The following image shows how some of the major univariate distributions are connected. Discrete distributions are in blue; Continuous distributions are in green. Common sampling distributions are in orange.

Discrete:

Continuous:

## References

Leemis, L. & McQueston, J. Teacher’s Corner: Univariate Distribution Relationships. Retrieved February 19, 2021 from Academia.edu https://www.academia.edu/6823496/Univariate_Distribution_Relationships.
Univariate Distribution. Retrieved February 19, 2021 from: http://www.math.wm.edu/~leemis/chart/UDR/about.html

CITE THIS AS:
Stephanie Glen. "Univariate Distribution" From StatisticsHowTo.com: Elementary Statistics for the rest of us! https://www.statisticshowto.com/univariate-distribution/