law0008.Student {PoweR} | R Documentation |
Random generation for the Student t distribution with df
degrees of freedom.
This generator is called by function gensample
to create random variables based on its parameter.
If df
is not specified it assumes the default value of 1.
The t distribution with df = k
degrees of freedom has density:
f(x) = Γ((k+1)/2) / (√(kπ) Γ(k/2)) (1 + x^2/k)^-((k+1)/2)
for all real x
. It has mean 0 (for k > 1) and variance k/(k-2) (for k > 2).
P. Lafaye de Micheaux, V. A. Tran
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
Distributions
for other standard distributions.
res <- gensample(8,10000,law.pars=8) res$law res$law.pars mean(res$sample) sd(res$sample)