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# Get credible intervals for the output according to different paradigms
#
# @param type One of \code{"marginal.centered"} or \code{"marginal.hpd"},
# indicating whether centeral or highest posterior density intervals are
# desired
# @param conf The width of the credible interval (conf * 100%).
# @inheritParams get_posterior_quantiles
# @inheritParams cat_v
# @return Returns a list of the intervals for each parameter in
# \code{parameter.names}. If \code{list=TRUE}, then each parameter is a
# list, with elements \code{lower} and \code{upper} being the lower and
# upper bounds, respectively. If \code{list=FALSE}, then each parameter is
# an array with the first dimension being the bounds and the remaining
# dimensions being the parameter index or indices.
#
#' @importFrom coda as.mcmc
#' @importFrom coda HPDinterval
get_credible_intervals <- function(posterior_samples, list=FALSE,
parameter.names=c("m", "S"),
conf=0.95,
type="marginal.hpd",
verbose=FALSE, num_level=0){
cat_v("Begin get_credible_intervals\n", verbose,
num_level=num_level)
if (type == "marginal.centered"){
alpha <- 1 - conf
credible.intervals <-
get_posterior_quantiles(posterior_samples, list=list,
probs=c((alpha/2), 1 - (alpha/2)),
parameter.names=parameter.names)
if (!list){
credible.intervals <- lapply(credible.intervals, function(p.ci){
if (!is.null(dim(p.ci))){
dimnames(p.ci)[[1]] <- c("lower", "upper")
} else {
names(p.ci) <- c("lower", "upper")
}
return(p.ci)
})
} else {
credible.intervals <- lapply(credible.intervals, function(p.ci){
names(p.ci) <- c("lower", "upper")
return(p.ci)
})
}
} else if (type == "marginal.hpd"){
names(parameter.names) <- parameter.names
credible.intervals <- lapply(
parameter.names, ps_function,
posterior_samples=posterior_samples,
func=function(param){
coda::HPDinterval(coda::as.mcmc(as.vector(param)), prob=conf)
})
credible.intervals <- lapply(credible.intervals, function(p.ci){
if (dim(p.ci)[[1]]==2){
dimnames(p.ci)[[1]] <- c("lower", "upper")
} else {
p.ci <- p.ci[1, ]
names(p.ci) <- c("lower", "upper")
}
return(p.ci)
})
if (list){
credible.intervals.list <- make_list(
array_list=credible.intervals,
parameter.names=parameter.names,
posterior_samples=posterior_samples, elt_length=2,
elt_names=c("lower", "upper"))
credible.intervals <- credible.intervals.list
}
} else {
stop("'type' must be one of \"marginal.centered\" or \"marginal.hpd\"")
}
cat_v("End get_credible_intervals\n", verbose, num_level=num_level)
return(credible.intervals)
}
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