#' Posterior simulation
#'
#' Estimates the country models of a Bayesian GVAR model.
#'
#' @param object a list of data and model specifications for country-specific
#' models, which should be passed on to function \code{FUN}. Usually, the
#' output of a call to \code{\link{create_models}} in combination with \code{\link{add_priors}}.
#' @param FUN the function to be applied to each country model in argument \code{object}.
#' If \code{NULL} (default), the internal functions \code{\link{bvarxpost}} is used.
#' @param mc.cores the number of cores to use, i.e. at most how many child
#' processes will be run simultaneously. The option is initialized from
#' environment variable MC_CORES if set. Must be at least one, and
#' parallelization requires at least two cores.
#' @param ctry character vector specifying for which countries posterior distributions
#' should be drawn. If \code{NULL} (default), draws are generated for all country models.
#' @param ... further arguments passed to or from other methods.
#'
#' @return An object of class \code{bgvarest}, which contains a list of data,
#' model specifications, priors, coefficient draws and information
#' criteria for each estimated country model.
#'
#' @examples
#' # Load data
#' data("gvar2019")
#'
#' # Create regions
#' temp <- create_regions(country_data = gvar2019$country_data,
#' weight_data = gvar2019$weight_data,
#' region_weights = gvar2019$region_weights,
#' regions = list(EA = c("AT", "BE", "DE", "ES", "FI", "FR", "IT", "NL")),
#' period = 3)
#'
#' country_data <- temp$country_data
#' weight_data <- temp$weight_data
#' global_data = gvar2019$global_data
#'
#' # Difference series to make them stationary
#' country_data <- diff_variables(country_data, variables = c("y", "Dp", "r"), multi = 100)
#' global_data <- diff_variables(global_data, multi = 100)
#'
#' # Create time varying weights
#' weight_data <- create_weights(weight_data, period = 3, country_data = country_data)
#'
#' # Generate specifications
#' model_specs <- create_specifications(
#' country_data = country_data,
#' global_data = global_data,
#' countries = c("US", "JP", "CA", "NO", "GB", "EA"),
#' domestic = list(variables = c("y", "Dp", "r"), lags = 1),
#' foreign = list(variables = c("y", "Dp", "r"), lags = 1),
#' global = list(variables = c("poil"), lags = 1),
#' deterministic = list(const = TRUE, trend = FALSE, seasonal = FALSE),
#' iterations = 10,
#' burnin = 10)
#' # Note that the number of iterations and burnin draws should be much higher!
#'
#' # Overwrite country-specific specifications
#' model_specs[["US"]][["domestic"]][["variables"]] <- c("y", "Dp", "r")
#' model_specs[["US"]][["foreign"]][["variables"]] <- c("y", "Dp")
#'
#' # Create estimation objects
#' country_models <- create_models(country_data = country_data,
#' weight_data = weight_data,
#' global_data = global_data,
#' model_specs = model_specs)
#'
#' # Add priors
#' models_with_priors <- add_priors(country_models,
#' coef = list(v_i = 1 / 9, v_i_det = 1 / 10),
#' sigma = list(df = 3, scale = .0001))
#'
#' # Obtain posterior draws
#' object <- draw_posterior(models_with_priors)
#'
#' @export
draw_posterior.gvarsubmodels <- function(object, ..., FUN = NULL, mc.cores = NULL, ctry = NULL){
# If 'ctry' is specified, reduce list to relevant elements
if (!is.null(ctry)) {
pos <- which(names(object) %in% ctry)
temp <- list()
for (i in 1:length(pos)) {
temp[[i]] <- object[[pos[i]]]
names(temp)[i] <- names(object)[pos[i]]
}
rm(object)
object <- temp
rm(temp)
names_obj <- names(object)
}
names_obj <- names(object)
names_temp <- names_obj
if (length(unique(names_temp)) != length(names_temp)) {
for (i in unique(names_temp)) {
pos_temp <- which(names_temp == i)
temp <- names_temp[pos_temp]
id <- paste0("0000", 1:length(temp))
id <- substring(id, nchar(id) - 3, nchar(id))
temp <- paste0(id, "-", temp)
names_temp[pos_temp] <- temp
}
}
names(object) <- names_temp
# Print estimation information
cat("Estimating submodels...\n")
if (is.null(mc.cores)) {
object <- lapply(object, .posterior_gvarsubmodels, use = FUN)
} else {
object <- parallel::mclapply(object, .posterior_gvarsubmodels, use = FUN,
mc.cores = mc.cores, mc.preschedule = FALSE)
}
names(object) <- names_obj
class(object) <- c("bgvarest", "list")
return(object)
}
# Helper function to implement try() functionality
.posterior_gvarsubmodels <- function(object, use) {
# Save specs in case Gibbs sampler fails
model <- list(data = object[["data"]],
model = object[["model"]])
if (is.null(use)) {
object <- try(bvarxpost(object))
} else {
# Apply own function
object <- try(use(object))
}
# Produce something if estimation fails
if (inherits(object, "try-error")) {
object <- c(object, c(model, list(error = TRUE)))
}
return(object)
}
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