\name{LogN}
\alias{LogN}
%- Also NEED an '\alias' for EACH other topic documented here.
\title{
The function to run EM (one round) using optim.
}
\description{
%%  ~~ A concise (1-5 lines) description of what the function does. ~~
}
\usage{
LogN(Input, InputSP, EmpiricalR, EmpiricalRSP, NumOfEachGroup, AlphaIn, BetaIn, PIn, NoneZeroLength)
}
%- maybe also 'usage' for other objects documented here.
\arguments{
  \item{Input}{
%%     ~~Describe \code{Input} here~~
}
  \item{InputSP}{
%%     ~~Describe \code{InputSP} here~~
}
  \item{EmpiricalR}{
%%     ~~Describe \code{EmpiricalR} here~~
}
  \item{EmpiricalRSP}{
%%     ~~Describe \code{EmpiricalRSP} here~~
}
  \item{NumOfEachGroup}{
%%     ~~Describe \code{NumOfEachGroup} here~~
}
  \item{AlphaIn}{
%%     ~~Describe \code{AlphaIn} here~~
}
  \item{BetaIn}{
%%     ~~Describe \code{BetaIn} here~~
}
  \item{PIn}{
%%     ~~Describe \code{PIn} here~~
}
  \item{NoneZeroLength}{
%%     ~~Describe \code{NoneZeroLength} here~~
}
}
\details{
%%  ~~ If necessary, more details than the description above ~~
}
\value{
%%  ~Describe the value returned
%%  If it is a LIST, use
%%  \item{comp1 }{Description of 'comp1'}
%%  \item{comp2 }{Description of 'comp2'}
%% ...
}
\references{
%% ~put references to the literature/web site here ~
}
\author{
%%  ~~who you are~~
}
\note{
%%  ~~further notes~~
}

%% ~Make other sections like Warning with \section{Warning }{....} ~

\seealso{
%% ~~objects to See Also as \code{\link{help}}, ~~~
}
\examples{
}
% Add one or more standard keywords, see file 'KEYWORDS' in the
% R documentation directory.
\keyword{ ~kwd1 }
\keyword{ ~kwd2 }% __ONLY ONE__ keyword per line