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.
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.
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