PoweR (version 1.0.7)

law0012.ShiftedExp: The Shifted Exponential Distribution

Description

Random generation for the Shifted Exponential distribution with parameters l and rate.

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

Details

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

The Shifted Exponential distribution has density $$ b\exp\{-(x-l)b\} $$ for \(x \le 1\), where \(rate = b\). The mean is \(E(X) = l + 1/b\), and the \(Var(X) = 1/(b^2)\).

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

Distributions for other standard distributions.

Examples

# NOT RUN {
res <- gensample(12,10000,law.pars=c(8,6))
res$law
res$law.pars
mean(res$sample)
sd(res$sample)
# }