PoweR (version 1.0.7)

law0001.Laplace: The Laplace Distribution

Description

Random generation for the Laplace distribution with parameters mu and b.

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

Details

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

The Laplace distribution has density: $$ \frac{1}{2b}\exp \left( -\frac{|x-\mu|}{b} \right) $$ where \(\mu\) is a location parameter and b > 0, which is sometimes referred to as the diversity, is a scale parameter.

References

Pierre Lafaye de Micheaux, Viet Anh Tran (2016). PoweR: A Reproducible Research Tool to Ease Monte Carlo Power Simulation 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 urlaplace() from Runuran package. See Distributions for other standard distributions.

Examples

# NOT RUN {
res <- gensample(1,10000,law.pars=c(9,2))
res$law
res$law.pars
mean(res$sample)
sd(res$sample)
# }