Formulas

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(Probability Density Functions (PDFs))
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* [http://en.wikipedia.org/wiki/Inverse_Gaussian_distribution Inverse Gausian]: <math> f(x)=\sqrt{\frac{\lambda}{2\pi x^3}}e^{-\frac{\lambda}{2\mu^2 x}(x-\mu)^2}. (x>0) \!</math>
* [http://en.wikipedia.org/wiki/Inverse_Gaussian_distribution Inverse Gausian]: <math> f(x)=\sqrt{\frac{\lambda}{2\pi x^3}}e^{-\frac{\lambda}{2\mu^2 x}(x-\mu)^2}. (x>0) \!</math>
* [http://socr.ucla.edu/htmls/dist/Noncentral_chi-square.html Noncentral_chi-square]: <math> f(x; n,\delta) = \sum_{k=0}^{\infty}\
* [http://socr.ucla.edu/htmls/dist/Noncentral_chi-square.html Noncentral_chi-square]: <math> f(x; n,\delta) = \sum_{k=0}^{\infty}\
-
frac{exp(-\delta/2) (\delta/2)^k}{k!} \frac{exp(-x/2) x^{(n+2k)/2-1}}{2^{(n+2k)/2} \Gamma(\frac{n+2k}{2})}. \!</math>
+
frac{exp(-\delta/2) (\delta/2)^k}{k!}\!</math>
* [http://socr.ucla.edu/htmls/dist/StandardWald.html Standard Wald]: <math> f(x)=\sqrt{\frac{\lambda}{2\pi x^3}}e^{-\frac{\lambda}{2x}(x-1)^2}. (x>0)\!</math>
* [http://socr.ucla.edu/htmls/dist/StandardWald.html Standard Wald]: <math> f(x)=\sqrt{\frac{\lambda}{2\pi x^3}}e^{-\frac{\lambda}{2x}(x-1)^2}. (x>0)\!</math>
* [http://socr.ucla.edu/htmls/dist/InvertedBeta.html Inverted Beta]: <math> f(x)=\frac{x^{\beta-1}(1+x)^{-\beta-\gamma}}{B(\beta,\gamma)}. (x>0, \beta>1, \gamma>1) \!</math>
* [http://socr.ucla.edu/htmls/dist/InvertedBeta.html Inverted Beta]: <math> f(x)=\frac{x^{\beta-1}(1+x)^{-\beta-\gamma}}{B(\beta,\gamma)}. (x>0, \beta>1, \gamma>1) \!</math>

Revision as of 20:20, 22 April 2010

Probability Density Functions (PDFs)

Transformations




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