law0012.ShiftedExp {PoweR} | R Documentation |
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)
.
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
Distributions
for other standard distributions.
Examples
res <- gensample(12,10000,law.pars=c(8,6))
res$law
res$law.pars
mean(res$sample)
sd(res$sample)