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\name{intersect.modal.region}
\alias{intersect.modal.region}
\alias{intersect.modal.region.default}
\alias{intersect.modal.region.circular}
\title{
Intersection between model region and a given interval.
}
\description{
Find an estimates of the probability of the intersection between a modal region and a given interval.
}
\usage{
intersect.modal.region(x, ...)
\method{intersect.modal.region}{default}(x, ...)
\method{intersect.modal.region}{circular}(x, breaks, z = NULL, q = 0.95, bw,
adjust = 1, type = c("K", "L"), kernel = c("vonmises", "wrappednormal"),
na.rm = FALSE, step = 0.01, eps.lower = 10^(-4), eps.upper = 10^(-4), ...)
}
\arguments{
\item{x}{numeric or an object of class \code{\link{circular}}.}
\item{breaks}{a matrix with two columns. Each row specifies a sub-interval.}
\item{z}{numeric or object of class \code{\link{circular}}. The grid
were the kernel density estimate will be evaluated. If \code{NULL}
equally spaced points in the interval [0,2*pi) with step \code{step}.}
\item{q}{numeric in the interval [0,1]. The quantile of the modal
region.}
\item{bw}{the smoothing bandwidth to be used. When the \code{kernel}
is \code{vonmises} the bandwidth is equal to the concentration
parameter.}
\item{adjust}{the bandwidth used is actually \code{adjust*bw}. This
makes it easy to specify values like ``half the default bandwidth''.}
\item{type}{Not Yet Used.}
\item{kernel}{a character string giving the smoothing kernel to be
used. This must be one of \code{"vonmises"} or
\code{"wrappednormal"}, that are kernels of \code{type} \code{"K"}.}
\item{na.rm}{logical; if \code{TRUE}, missing values are removed from
\code{x}. If \code{FALSE} any missing values cause an error.}
\item{step}{numeric. Used in the construction of the regular grid \code{z}.}
\item{eps.lower,eps.upper}{the cut point in the density is searched in
the interval [min(density)*(1+eps.lower),max(density)*(1-eps.upper)].}
\item{\dots}{further arguments passed to the next methods.}
}
\details{
Only the version for circular data is actually implemented.
}
\value{
For the circular method a list with the following three components
\item{tot}{the total area.}
\item{areas}{information for each subinterval.}
\item{breaks}{the extremes of each subinterval.}
}
\author{
Claudio Agostinelli
}
\seealso{
\code{\link{modal.region}}
}
\examples{
x <- rvonmises(100, circular(pi), 10)
res <- intersect.modal.region(x, breaks=circular(matrix(c(pi,pi+pi/12,
pi-pi/12, pi), ncol=2, byrow=TRUE)), bw=50)
res$tot
x <- rvonmises(100, circular(0), 10)
res <- intersect.modal.region(x, breaks=circular(matrix(c(pi,pi+pi/12),
ncol=2)), bw=50)
res$tot
res <- intersect.modal.region(x, breaks=circular(matrix(c(pi/12,
2*pi-pi/12), ncol=2, byrow=TRUE)), bw=50)
res$tot
}
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