\name{gldRobMoments}

\alias{gldRobMoments}

\alias{gldMED}
\alias{gldIQR}
\alias{gldSKEW}
\alias{gldKURT}


\title{Robust Moments for the GLD}


\description{
    
    Computes the first four robust moments for the
    Generalized Lambda Distribution. 
    
}


\usage{
gldMED(lambda1 = 0, lambda2 = -1, lambda3 = -1/8, lambda4 = -1/8)
gldIQR(lambda1 = 0, lambda2 = -1, lambda3 = -1/8, lambda4 = -1/8)
gldSKEW(lambda1 = 0, lambda2 = -1, lambda3 = -1/8, lambda4 = -1/8)
gldKURT(lambda1 = 0, lambda2 = -1, lambda3 = -1/8, lambda4 = -1/8)
}


\arguments{

    \item{lambda1, lambda2, lambda3, lambda4}{
        are numeric values where
        \code{lambda1} is the location parameter,
        \code{lambda2} is the location parameter,
        \code{lambda3} is the first shape parameter, and
        \code{lambda4} is the second shape parameter.
        }
    
}


\value{

    All values for the \code{*gld} functions are numeric vectors: 
    \code{d*} returns the density,
    \code{p*} returns the distribution function,
    \code{q*} returns the quantile function, and
    \code{r*} generates random deviates.
    
    All values have attributes named \code{"param"} listing
    the values of the distributional parameters.
    
}


%\references{
%    go here ...
%}


\author{

    Diethelm Wuertz.
    
}


\examples{   
## gldMED -
   # Median:
   gldMED(lambda1 = 0, lambda2 = -1, lambda3 = -1/8, lambda4 = -1/8)
 
## gldIQR - 
   # Inter-quartile Range:
   gldIQR(lambda1 = 0, lambda2 = -1, lambda3 = -1/8, lambda4 = -1/8)
 
## gldSKEW -  
   # Robust Skewness:
   gldSKEW(lambda1 = 0, lambda2 = -1, lambda3 = -1/8, lambda4 = -1/8)
   
## gldKURT -
   # Robust Kurtosis:
   gldKURT(lambda1 = 0, lambda2 = -1, lambda3 = -1/8, lambda4 = -1/8)
}


\keyword{distribution}