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\name{smm_split_component}
\alias{smm_split_component}
\docType{methods}
\title{Split a component of Student's t-distribution in two.}
\description{
Splits a component of Student's t-distribution mixture. Implemented
according to Eqns. 30--36 of Chen et al. (2004).
}
\usage{
smm_split_component( p, alpha = 0.5, beta = 0.5, u = 0.5 )
}
\arguments{
\item{p}{
vector of Student's t mixture parameters. Structure of p vector is
p = c( A1, A2, ..., A\emph{n}, mu1, mu2, ..., mu\emph{n}, k1, k2, ..., k\emph{n}, ni1, ni2, ..., ni\emph{n} ),
where \emph{n} is number of mixture components,
A\emph{i} is the proportion of \emph{i}-th component,
mu\emph{i} is the center of \emph{i}-th component,
k\emph{i} is the concentration of \emph{i}-th component and
ni\emph{i} is the degrees of freedom of \emph{i}-th component.
}
\item{alpha}{split proportion for component proportions}
\item{beta}{split proportion for component concentrations}
\item{u}{split proportion for component centers}
}
\value{
Vector of parameters for resulting two-component mixture, whose
structure is the same as of input parameter's p.
}
\references{
Chen, S.-B. & Luo, B.
Robust t-mixture modelling with SMEM algorithm
Proceedings of 2004 International Conference on Machine Learning and
Cybernetics (IEEE Cat. No.04EX826),
Institute of Electrical & Electronics Engineers (IEEE), 2004, 6, 3689--3694
}
\author{Andrius Merkys}
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