% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/stochastic_orders.R
\name{biv_wrhr_order}
\alias{biv_wrhr_order}
\title{Weak Bivariate Reversed Hazard Rate Order}
\usage{
biv_wrhr_order(
  cdf_X,
  cdf_Y,
  x1_grid = seq(0.1, 0.9, by = 0.2),
  x2_grid = seq(0.1, 0.9, by = 0.2),
  tol = 1e-06
)
}
\arguments{
\item{cdf_X, cdf_Y}{Joint CDFs.}

\item{x1_grid, x2_grid}{Evaluation grids (positive values).}

\item{tol}{Tolerance.}
}
\value{
List with \code{order_holds} and \code{violations}.
}
\description{
Checks \eqn{X \le_{\rm wrhr} Y}: the ratio
\eqn{F_X(x_1,x_2)/F_Y(x_1,x_2)} is decreasing in \eqn{(x_1,x_2)}, i.e.\
\eqn{h_{i,X}(x_1,x_2) \le h_{i,Y}(x_1,x_2),\; i=1,2}.
}
\examples{
cX <- function(x1, x2) pfgm_biv(x1, x2, theta = 0.2)
cY <- function(x1, x2) pfgm_biv(x1, x2, theta = 0.5)
biv_wrhr_order(cX, cY)

}
\references{
Jayalekshmi S., Rajesh G. — IJRQSE, Section 2.
}
