law0005.Gamma {PoweR} | R Documentation |
The Gamma Distribution
Description
Random generation for the Gamma distribution with parameters shape
and rate
.
This generator is called by function gensample
to create random variables based on its parameters.
Details
If shape
or rate
are not specified they assume the default values of 2 and 1, respectively.
The Gamma distribution has density:
\frac{1}{b^a\Gamma(a)}x^{a-1}exp^{-x/b}
for x \ge 0
, a > 0 and b > 0; where a
is the shape
parameter and b
is the rate
parameter.
Here \Gamma(a)
is the gamma
function implemented by R and defined in its help.
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
See function rgamma
from package
stats. See. Distributions
for other standard
distributions. Type help(gamma)
for additional information about the gamma function.
Examples
res <- gensample(5,10000,law.pars=c(9,2))
res$law
res$law.pars
mean(res$sample)
sd(res$sample)