\name{MultiMapParameters}
\alias{MultiMapParameters}
\alias{build_mR}
\alias{MapR_C}
\alias{build_vR}
\title{
	Mapping function for univariate distributions
}
\description{
	Map unrestricted vector of parameters into the proper space. This function transforms 
	the parameters updated using the GAS recursion into their proper space.
	}
\usage{
MultiMapParameters(Theta_tilde, Dist, N)
}
\arguments{
\item{Theta_tilde}{
\code{numeric} Vector of reparametrised parameters, see Details.}
%
\item{Dist}{
\code{character} Label of the conditional distribution, see \link{DistInfo}.}
%
\item{N}{
\code{numeric} Cross sectional dimension. Note that only \code{iN<5} is supported.}
%
}
\details{
	The order of the parameters is generally: locations, scales, correlations, shape. When the 
	distribution defined by \code{Dist} does not have, say, the shape parameter, this should be simply omitted. 
	See also \link{DistInfo} for specific distributions.
}
\value{A \code{numeric} vector of parameters.}
\author{Leopoldo Catania}
\examples{
# Map unrestricted parameters for the Multivariate Student-t distribution with N=3
library("GAS")

N = 3

Dist = "mvt"

# Vector of location parameters (this is not transformed).
Mu_tilde  = c(0.1,0.2,0.3)

# Vector of unrestricted scales parameters such that
# the scales will be equal to 1.0, 1.2 and 0.3, for the first, second and
# third variables, respectively.
Phi_tilde = c(log(1.0), log(1.2), log(0.3))

# The vector c(0.1,0.2,0.3) represents vec(R),
# where R is the correlation matrix.
# Note that is up to the user to ensure that
# vec(R) implies a proper correlation matrix
# The function UnMapR_C transforms vec(R) in a vector of unrestricted parameters. It is
# the inverse of the hyperspherical coordinates transformration.

Rho_tilde = UnMapR_C(c(0.1,0.2,0.3), N)

# Vector of unconditional reparametrised parameters such that the
# degrees of freedom are 7.
#
# LowerNu() prints the lower bound numerical parameter for the degree
# of freedom, see help(LowerNu)
#

Theta_tilde = c(Mu_tilde, Phi_tilde , Rho_tilde, log(7 - LowerNu()))

Theta = MultiMapParameters(Theta_tilde, Dist, N)

Theta
}