--- /dev/null
+\name{LogNMulti}
+\alias{LogNMulti}
+%- 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{
+LogNMulti(Input, InputSP, EmpiricalR, EmpiricalRSP, NumOfEachGroup, AlphaIn, BetaIn, PIn, NoneZeroLength,AllParti, Conditions)
+}
+%- 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