% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/lme.gev11.R
\name{lme.gev11}
\alias{lme.gev11}
\title{L-moment parameter estimation for the non-stationary GEV11 model}
\usage{
lme.gev11(xdat, ntry = 5, ftol = 1e-05, show = FALSE)
}
\arguments{
\item{xdat}{A numeric vector of data to be fitted.}

\item{ntry}{Number of attempts (initial points) for the nonlinear solver
(default 5).}

\item{ftol}{Function tolerance for the solver (default 1e-5).}

\item{show}{If TRUE, prints the precision and parameters of each try.}
}
\value{
A list containing:
\itemize{
  \item lme.gev11 - The L-moment estimates (mu0, mu1, sigma0, sigma1, xi).
    If no solution is found, the WLS pre-estimate is returned.
  \item precis - Precision (mean absolute residual of the L-moment
    equations) of the selected solution.
  \item data - The input data (used by the plot method).
}
The object has class \code{"lme11"}; see \code{\link{GLmom-methods}}.
}
\description{
Estimates the parameters of the non-stationary GEV11 model
(mu(t) = mu0 + mu1*t, sigma(t) = exp(sigma0 + sigma1*t), constant xi)
by the pure L-moment method of Shin et al. (2025b, JKSS).
Starting from the WLS pre-estimate of \code{\link{strup.gev11}},
the three L-moment equations (matching the sample L-moments of the
Gumbel-transformed data with the population L-moments of the standard
Gumbel distribution) are solved by Broyden's method for
(mu0, sigma0, xi), and the best solution is chosen by a goodness-of-fit
measure.

This function replaces \code{\link{gado.prop_11}} of GLmom v1.x
(renamed in v2.0.0, with slightly changed input/output).
It is also equivalent to \code{glme.gev11(xdat, pen="no")}.
}
\examples{
\donttest{
data(PhliuAgromet)
result <- lme.gev11(PhliuAgromet$prec, ntry = 5)
print(result$lme.gev11)
}

}
\references{
Shin, Y., Shin, Y. & Park, J.-S. (2025). Building nonstationary extreme value
model using L-moments. Journal of the Korean Statistical Society, 54, 947-970.
\doi{10.1007/s42952-025-00325-3}
}
\seealso{
\code{\link{glme.gev11}} for the penalized (GLME) version,
  \code{\link{strup.gev11}} for the WLS pre-estimation,
  \code{\link{GN16.gev11}} for the GN16 method,
  \code{\link{nsgev}} and \code{\link{gado.prop_11}} for the v1.x
  compatibility wrappers.
}
\author{
Yonggwan Shin, Seokkap Ko, Jihong Park, Yire Shin, Jeong-Soo Park
}
