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pgnorm (version 2.0)

ppgnorm: A function to evaluate the $p$-generalized normal cdf

Description

The function evaluates the cdf of the univariate $p$-generalized normal distribution according to the density $$f(x,p,mean,\sigma)=(\sigma_p/ \sigma) \, C_p \, \exp \left( - \left( \frac{\sigma_p}{\sigma } \right)^p \frac{\left| x-mean \right|^p}{p} \right) ,$$ where $C_p=p^{1-1/p}/2/\Gamma(1/p)$ and $\sigma_p^2=p^{2/p} \, \Gamma(3/p)/\Gamma(1/p)$.

Usage

ppgnorm(y, p, mean, sigma)

Arguments

Value

A real number.

References

S. Kalke and W.-D. Richter (2013)."Simulation of the p-generalized Gaussian distribution." Journal of Statistical Computation and Simulation. Volume 83. Issue 4.

Examples

Run this code
y<-ppgnorm(2,p=3)

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