law0018.Tukey {PoweR} | R Documentation |
The Tukey Distribution
Description
Random generation for the Tukey distribution with parameter lambda
.
This generator is called by function gensample
to create random variables based on its parameter.
Details
If lambda
is not specified it assumes the default value of 1.
The Tukey distribution with lambda =
\lambda
has E[X] = 0
and
Var[X] = 2/(\lambda^2) (1/(2\lambda+1) - \Gamma^2(\lambda+1)/\Gamma(2\lambda+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(18,10000,law.pars=8)
res$law
res$law.pars
mean(res$sample)
sd(res$sample)
[Package PoweR version 1.1.4 Index]