man-roxygen/desc-dnt.R

In shabbychef/sadists: Some Additional Distributions

#' The doubly noncentral t distribution generalizes the (singly)
#' noncentral t distribution to the case where the numerator is
#' the square root of a scaled noncentral chi-square distribution.
#' That is, if 
#' \eqn{X \sim \mathcal{N}\left(\mu,1\right)}{X ~ N(u,1)} independently
#' of \eqn{Y \sim \chi^2\left(k,\theta\right)}{Y ~ x^2(k,theta)}, then
#' the random variable
#' \deqn{T = \frac{X}{\sqrt{Y/k}}}{T = X / sqrt(Y/k)}
#' takes a doubly non-central t distribution with parameters
#' \eqn{k, \mu, \theta}{k, mu, theta}.