AP Statistics Curriculum 2007 Johnson SB
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- | 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. |
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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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