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\name{UnivarLebDecDistribution}
\alias{UnivarLebDecDistribution}
\title{Generating function for Class "UnivarLebDecDistribution"}
\description{Generates an object of class \code{"UnivarLebDecDistribution"}.}
\usage{
UnivarLebDecDistribution(acPart, discretePart, acWeight, discreteWeight,
r = NULL, e = NULL, n = NULL, y = NULL)
}
\arguments{
\item{acPart}{Object of class \code{"AbscontDistribution"} (or subclasses);
a.c. part of the distribution}
\item{discretePart}{Object of class \code{"AbscontDistribution"} (or subclasses);
discrete part of the distribution}
\item{acWeight}{Object of class \code{"numeric"}; weight of the a.c. part of
the distribution}
\item{discreteWeight}{Object of class \code{"numeric"}; weight of the discrete
part of the distribution}
\item{r}{optional argument; if given, this is a random number generator as function
\code{r <- function(n){....}} to produce r.v.'s distributed
according to the distribution; used in a call to \code{\link{RtoDPQ.LC}}
if \code{acPart} and \code{discretePart} are missing.}
\item{e}{optional argument; if argument \code{r} is given, this is the number
of r.v.'s drawn to fill the empty slots of this object; if missing filled
with \code{getdistrOption("RtoDPQ.e")}.}
\item{n}{optional argument; if argument \code{r} is given, this is the number
gridpoints used in filling the empty p,d,q slots of this object; if missing filled
with \code{getdistrOption("DefaultNrGridPoints")}.}
\item{y}{a (numeric) vector or \code{NULL}}
}
\details{At least one of arguments \code{discretePart}, \code{acPart}, or \code{r}
must be given; if the first two are missing, slots are filled by a call
to \code{RtoDPQ.LC}. For this purpose argument \code{r} is used together
with arguments \code{e} and \code{n}. If the latter are missing they are
filled with \code{getdistrOption("RtoDPQ.e")} and
\code{getdistrOption("DefaultNrGridPoints")}, respectively.
For the a.c. part, similarly to \code{\link{RtoDPQ}} we have an optional
parameter \code{y} for using N. Horbenko's quantile trick: i.e.; on an
equally spaced grid \code{x.grid} on [0,1], apply
\code{f(q(x)(x.grid))}, write the result to \code{y} and use these
values instead of simulated ones.
If argument \code{discretePart} is missing but \code{acPart} is not,
\code{discreteWeight} is set to 0 and \code{discretePart} is set to \code{Dirac(0)}.
If argument \code{acPart} is missing but \code{discretePart} is not,
\code{acWeight} is set to 0 and \code{discretePart} is set to \code{Norm()}.
If both arguments \code{acPart} and \code{discretePart} are given,
at least one of arguments \code{discreteWeight} and \code{acWeight} must
be given and lie in [0,1], else an error is thrown.
If only one argument \code{acWeight} or \code{discreteWeight} is given
the other one is gotten as 1-[ac/discrete]Weight.
Else if both are given, they must sum up to 1.
If a weight is smaller than \code{getdistrOption("TruncQuantile")}, it
is set to 0.
}
\value{Object of class \code{"UnivarLebDecDistribution"}.}
%\references{}
\author{Peter Ruckdeschel \email{peter.ruckdeschel@uni-oldenburg.de}}
%\note{}
\seealso{\code{\link{UnivarLebDecDistribution-class}},
\code{\link{simplifyD}}}
\examples{
mylist <- UnivarLebDecDistribution(discretePart=Binom(3,.3), acPart=Norm(2,2),
acWeight=11/20)
mylist
}
\keyword{distribution}
\keyword{list}
\concept{multivariate distribution}
\concept{S4 distribution class}
\concept{generating function}
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