# UQuadraticDistribuionAbout

### From Socr

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<center>(vertical scale) <math>\alpha = {12 \over \left ( b-a \right )^3}</math>. | <center>(vertical scale) <math>\alpha = {12 \over \left ( b-a \right )^3}</math>. | ||

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- | + | More information about U-quadratic, and other continuous distribution functions, is available at [http://en.wikipedia.org/wiki/UQuadratic_distribution Wikipedia]. | |

===Properties=== | ===Properties=== |

## Revision as of 20:32, 6 November 2007

## Contents |

## About_pages_for_SOCR_Distributions - U-Quadratic Distribution

### Description

The *U quadratic distribution* is defined by the following density function

where the relation between the two pairs of parameters (domain-support, a and b) and (range/offset α and β) are given by the following two equations

More information about U-quadratic, and other continuous distribution functions, is available at Wikipedia.

### Properties

- Support Parameters:
- Scale/Offset Parameters: and
- PDF:
- CDF
- Mean:
- Median:
- Modes:
*a*and*b* - Variance:
- Skewness: 0 (distribution is symmetric around the mean)
- Kurtosis:

### Interactive U Quadratic Distribution

You can see the interactive *U Quadratic* distribution by going to SOCR Distributions and selecting from the drop down list of distributions *U Quadratic*. Then follow the **Help** instructions to dynamically set parameters, compute critical and probability values using the mouse and keyboard.

- SOCR Home page: http://www.socr.ucla.edu

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