PoweR (version 1.0.7)

law0002.Normal: The Normal Distribution

Description

Random generation for the Normal distribution with parameters mu and sigma.

This generator is called by function gensample to create random variables based on its parameters.

Details

If mu or sigma are not specified they assume the default values of 0 and 1, respectively.

The Normal distribution has density: $$ (\sqrt{2\pi}\sigma)^{-1}\exp^{-\frac{x^2}{2\sigma^2}} $$ where \(\mu\) is the mean of the distribution and \(\sigma\) is the standard deviation.

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 function link{rnorm} from stats package. See Distributions for other standard distributions.

Examples

# NOT RUN {
res <- gensample(2,10000,law.pars=c(9,2))
res$law
res$law.pars
mean(res$sample)
sd(res$sample)
# }