# AP Statistics Curriculum 2007 Rice

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===Moments=== | ===Moments=== | ||

- | The first few [ | + | The first few [http://en.wikipedia.org/wiki/Raw_moment raw moments] are: |

:<math>\mu_1^'= \sigma \sqrt{\pi/2}\,\,L_{1/2}(-\nu^2/2\sigma^2)</math> | :<math>\mu_1^'= \sigma \sqrt{\pi/2}\,\,L_{1/2}(-\nu^2/2\sigma^2)</math> |

## Current revision as of 22:46, 18 July 2011

## Contents |

## General Advance-Placement (AP) Statistics Curriculum - Rice Distribution

### Rice Distribution

Also known as the Rician Distribution, the Rice distribution is the probability distribution of the absolute value of a Circular Bivariate Normal random variable with potentially non-zero mean.

**PDF**:

**CDF**:

**Mean**:

**Variance**:

**Support**:

*x* ∈ [0, +∞)

### Moments

The first few raw moments are:

### Applications

Describing fading in wireless communications systems analysis

http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=1532472

Radar signal processing

http://users.ece.gatech.edu/mrichard/Rice%20power%20pdf.pdf

Describing noisy MRI Data

http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2254141/

### SOCR Links

http://www.distributome.org/ -> SOCR -> Distributions -> Rice Distribution

http://www.distributome.org/ -> SOCR -> Functors -> Rice Distribution

http://www.distributome.org/ -> SOCR -> Modeler -> Rice_Fit Modeler

SOCR Rice Distribution Calculator: http://socr.ucla.edu/htmls/dist/Rice_Distribution.html

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

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