\name{dmvtmix}
\alias{dmvtmix}

\title{Density of the Multivariate t Mixture Distribution with Box-Cox Tranformation} 

\description{
This function computes the densities at the inputted points of the multivariate \eqn{t} mixture distribution with Box-Cox transformation.
}

\usage{
dmvtmix(x, w, mu, sigma, nu, lambda, object, subset, include, log=FALSE)
}

\arguments{
\item{x}{A matrix or data frame of size \eqn{N \times P}{N x P}, where \eqn{N} is the number of observations and \eqn{P} is the dimension.  Each row corresponds to one observation.}
\item{w}{A numeric vector of length \eqn{K} containing the cluster proportions.}
\item{mu}{A matrix of size \eqn{K \times P}{K x P} containing the \eqn{K} mean vectors.}
\item{sigma}{An array of size \eqn{K \times P \times P}{K x P x P} containing the \eqn{K} covariance matrices.}
\item{nu}{The degrees of freedom used for the \eqn{t} distribution.  If \code{nu=Inf}, Gaussian distribution will be used.}
\item{lambda}{The Box-Cox transformation parameter.  If missing, the conventional \eqn{t} distribution without transformation will be used.}
\item{object}{An optional argument.  If provided, it's an object returned from \code{\link{flowClust}}, and the previous arguments will be assigned values from the corresponding slots of \code{object}.}
\item{subset}{An optional argument.  If provided, it's a numeric vector indicating which variables are selected for computing the densities.  If \code{object} is provided and \code{object@varNames} is not \code{NULL}, then a character vector containing the names of the variables is allowed.}
\item{include}{An optional argument.  If provided, it's a numeric vector specifying which clusters are included for computing the densities.}
\item{log}{A logical value.  If \code{TRUE} then the logarithm of the densities is returned.}
}

\value{
A vector of length \eqn{N} containing the density values.
}

\author{
Raphael Gottardo <\email{raph@stat.ubc.ca}>, Kenneth Lo <\email{c.lo@stat.ubc.ca}>
}

% \examples{
% 
% }

\keyword{distribution}