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\name{flat.LCD}
\alias{flat.LCD}
\title{Flattening a list of Lebesgue decomposed distributions}
\description{
flattens a list of Lebesgue decomposed distributions endowed with weights to
give one Lebesgue decomposed distribution}
\usage{
flat.LCD(..., mixCoeff = NULL, withgaps = getdistrOption("withgaps"))
}
\arguments{
\item{\dots}{list of Lebesgue decomposed distributions}
\item{mixCoeff}{Object of class \code{"numeric"} of the same length
as \dots: a vector of probabilities for the mixing components.}
\item{withgaps}{logical; shall \code{gaps} be detected empirically?}
}
\details{
\code{flat.LCD} flattens a list of Lebesgue decomposed distributions given through \code{\dots},
i.e., it takes all list elements and mixing coefficients and builds up the mixed
distribution (forgetting about the components); the result will be one distribution of
class \code{UnivarLebDecDistribution}. If \code{mixCoeff} is missing, all list elements
are equally weighted. It is used internally in our methods for \code{"*"}, \code{"/"},
\code{"^"} (see \link{operators-methods}),
\code{\link{Minimum}}, and \code{\link{convpow}}, as well in method \code{\link{flat.mix}}.}
\value{ \code{flat.LCD} returns an object of class \code{UnivarLebDecDistribution}.}
\author{
Peter Ruckdeschel \email{peter.ruckdeschel@uni-oldenburg.de}}
\seealso{
\code{\link{UnivarLebDecDistribution-class}},
\code{\link{operators-methods}}}
\examples{
D1 <- as(Norm(),"UnivarLebDecDistribution")
D2 <- as(Pois(1),"UnivarLebDecDistribution")
D3 <- as(Binom(1,.4),"UnivarLebDecDistribution")
flat.LCD(D1,D2,D3, mixCoeff = c(0.4,0.5,0.1))
}
\keyword{math}
\keyword{distribution}
\keyword{arith}
\concept{Lebesgue decomposed distribution}
\concept{utility}
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