law0031.MixtureNormal: The Mixture Normal Distribution
Description
Random generation for the Mixture Normal distribution with parameters p, m and d.
This generator is called by function gensample to create random variables based on its parameters.
Arguments
Details
If p, m and d are not specified they assume the default values of 0.5, 0 and 1, respectively.
The Mixture Normal distribution has density:
$$ \frac{1}{\sqrt{2\pi}}\left[pe^{-\frac{(x-m)^2}{2d^2}}+(1-p)e^{-\frac{x^2}{2}}\right] $$
References
Pierre Lafaye de Micheaux, Viet Anh Tran (2016). PoweR: A
Reproducible Research Tool to Ease Monte Carlo Power Simulation
Studies for Studies for Goodness-of-fit Tests in R. Journal of Statistical Software, 69(3), 1--42. doi:10.18637/jss.v069.i03