% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/smsncut.R
\name{cutoff_youden}
\alias{cutoff_youden}
\title{Parametric Youden cutoff under SMSN distributions}
\usage{
cutoff_youden(
  theta0,
  theta1,
  family0,
  family1,
  interval = NULL,
  grid_length = 5000L
)
}
\arguments{
\item{theta0}{Numeric vector. Parameters for group 0.}

\item{theta1}{Numeric vector. Parameters for group 1.}

\item{family0}{Character. Family for group 0.}

\item{family1}{Character. Family for group 1.}

\item{interval}{Numeric vector of length 2. If \code{NULL}, computed
automatically.}

\item{grid_length}{Number of grid points used in the search.}
}
\value{
Numeric scalar. The estimated Youden cutoff.
}
\description{
Estimates the Youden cutoff \eqn{c_Y} as the maximiser of
\eqn{J(c;\theta) = F_0(c;\theta_0) - F_1(c;\theta_1)} over the admissible
interval (equation (9) of de Paula et al., 2026), implemented via
\code{optimize} on \eqn{J(c)} directly.
}
\examples{
theta0 <- c(0, log(1), 1)
theta1 <- c(2, log(1), 1.5)
cutoff_youden(theta0, theta1, "SN", "SN")
}
