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#' Conditional posterior distribution of sigma in the case of censoring
#'
#' This function simulates from the conditional posterior distribution of
#' sigma.
#'
#' For internal use
#'
#' @keywords internal
#' @examples
#'
#' ## The function is currently defined as
#' function(sigma, xleft, xright, censor_code, y, distr = 1, asigma = 1,
#' bsigma = 2, delta = 4) {
#' sigmaStar <- rgamma(1, shape = delta, rate = delta / sigma)
#' sigmaT <- sigma
#' qgammas <- sigmaT / sigmaStar
#' Qgammas <- sigmaStar / sigmaT
#' Term2 <- qgammas^(2 * delta - 1) * exp(-delta * (qgammas -
#' Qgammas))
#' Kgamma <- Qgammas^(asigma - 1) * exp(-bsigma * (sigmaStar -
#' sigmaT))
#' Prod <- 1
#' for (i in seq_along(xleft)) {
#' Prod <- Prod * dkcens2_1val(
#' xleft = xleft[i], xright = xright[i],
#' c_code = censor_code[i], distr = distr, mu = y[i],
#' sigma = sigmaStar
#' ) / dkcens2_1val(
#' xleft = xleft[i],
#' xright = xright[i], c_code = censor_code[i], distr = distr,
#' mu = y[i], sigma = sigmaT
#' )
#' }
#' q3 <- min(1, Kgamma * Prod * Term2)
#' sigma <- ifelse(runif(1) <= q3, sigmaStar, sigmaT)
#' return(sigma)
#' }
gs5cens2 <-
function(sigma, xleft, xright, censor_code, y, distr = 1, asigma = 1,
bsigma = 2, delta = 4) {
sigmaStar <- rgamma(1, shape = delta, rate = delta / sigma)
sigmaT <- sigma
qgammas <- sigmaT / sigmaStar
Qgammas <- sigmaStar / sigmaT
Term2 <- qgammas^(2 * delta - 1) * exp(-delta * (qgammas -
Qgammas))
Kgamma <- Qgammas^(asigma - 1) * exp(-bsigma * (sigmaStar -
sigmaT))
Prod <- 1
for (i in seq_along(xleft)) {
Prod <- Prod * dkcens2_1val(
xleft = xleft[i], xright = xright[i],
c_code = censor_code[i], distr = distr, mu = y[i],
sigma = sigmaStar
) / dkcens2_1val(
xleft = xleft[i],
xright = xright[i], c_code = censor_code[i], distr = distr,
mu = y[i], sigma = sigmaT
)
}
q3 <- min(1, Kgamma * Prod * Term2)
sigma <- ifelse(runif(1) <= q3, sigmaStar, sigmaT)
return(sigma)
}
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