# AP Statistics Curriculum 2007 Johnson SB

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===Johnson SB Distribution=== | ===Johnson SB Distribution=== | ||

- | The Johnson SB distribution is related to the [http:// | + | The Johnson SB distribution is related to the [http://wiki.stat.ucla.edu/socr/index.php/AP_Statistics_Curriculum_2007_Normal_Std normal distribution]. Four parameters are needed: <math>\Gamma</math>, <math>\delta</math>, <math>\lambda</math>, <math>\epsilon</math> . It is a continuous distribution defined on bounded range <math> \epsilon \leq x \leq \epsilon + \lambda </math>, and the distribution can be symmetric or asymmetric. |

'''PDF''': <br> | '''PDF''': <br> |

## Current revision as of 22:44, 18 July 2011

## Contents |

## General Advance-Placement (AP) Statistics Curriculum - Johnson SB Distribution

### Johnson SB Distribution

The Johnson SB distribution is related to the normal distribution. Four parameters are needed: Γ, δ, λ, ε . It is a continuous distribution defined on bounded range , and the distribution can be symmetric or asymmetric.

**PDF**:

, where

**CDF**:

, where

**Moments**:

Moments for this distribution do not have a simple expression.

### Applications

Epidemiology: http://www.bvsde.paho.org/bvsacd/cd47/data.pdf

Forrestry: http://cms1.gre.ac.uk/conferences/iufro/FMA/SB_Plot_Minimum1.pdf

### SOCR Links

http://www.distributome.org/ -> SOCR -> Distributions -> Johnson Special Bounded (SB) Distribution

http://www.distributome.org/ -> SOCR -> Functors -> Johnson Special Bounded (SB) Distribution

SOCR Docs: http://www.socr.ucla.edu/docs/edu/ucla/stat/SOCR/distributions/JohnsonSBDistribution.html

SOCR Calculator: http://socr.ucla.edu/htmls/dist/JohnsonSBDistribution.html

### See Also

http://www.mathwave.com/articles/johnson_sb_distribution.html

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

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