| law0023.GeneralizedPareto {PoweR} | R Documentation |
Random generation for the Generalized Pareto distribution with parameters mu, sigma and xi.
This generator is called by function gensample to create random variables based on its parameters.
If mu, sigma and xi are not specified they assume the default values of 0, 1 and 0, respectively.
The Generalized Pareto distribution with parameters mu = μ, sigma = σ and xi = ξ has density:
f(x) = 1/σ (1 + ξ (x - μ)/σ)^(-1/ξ - 1)
where x ≥ μ if ξ ≥ 0 and x ≤ μ - σ/ξ if ξ < 0.
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
See Distributions for other standard distributions.
res <- gensample(23,10000,law.pars=c(8,6,2)) res$law res$law.pars mean(res$sample) sd(res$sample)