PoweR (version 1.1.4)

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.

Author

P. Lafaye de Micheaux, V. A. Tran

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: $$ p\frac{1}{d\sqrt{2\pi}}e^{-\frac{(x-m)^2}{2d^2}}+(1-p)\frac{1}{d\sqrt{2\pi}}e^{-\frac{x^2}{2}} $$

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)