# UQuadraticDistribuionAbout

### From Socr

## 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:
- Moment Generating Function:
- Characteristic Function:

### 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
- U-quadratic distribution at Wikipedia

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