resdepth.sub <-
function(x,res)
{
##########################################################################
# This function computes the regression depth of a regression line based
# on its residuals. The fit could be, for example, a nonparmatric
# regression or smooth.
#
# The algorithm is based on a simple modification of
#
# Rousseeuw, P.J. and Hubert, M. (1996),
# Regression Depth, Technical report, University of Antwerp
#
##########################################################################
if(!is.vector(x)) stop("x should be vectors")
n <- length(x)
if(n < 2)
stop("you need at least two observations")
flag=is.na(res)
x=x[!flag]
res[!flag]
xord=order(x)
x=x[xord]
res=res[xord]
posres <- res >= 0
negres <- res <= 0
lplus <- cumsum(posres)
rplus <- lplus[n] - lplus
lmin <- cumsum(negres)
rmin <- lmin[n] - lmin
depth <- pmin(lplus + rmin, rplus + lmin)
min(depth)
}
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