law0031.MixtureNormal {PoweR} | R Documentation |
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.
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:
p\frac{1}{d\sqrt{2\pi}}e^{-\frac{(x-m)^2}{2d^2}}+(1-p)\frac{1}{d\sqrt{2\pi}}e^{-\frac{x^2}{2}}
Author(s)
P. Lafaye de Micheaux, V. A. Tran
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
See Also
See law0002.Normal
for the Normal
distribution. See Distributions
for other standard distributions.
Examples
res <- gensample(31,10000,law.pars=c(0.9,8,6))
res$law
res$law.pars
mean(res$sample)
sd(res$sample)