NPEint: The end points of the Proportional Edge (PE) Proximity Region for a point - one interval case
Description
Returns the end points of the interval which constitutes the PE proximity region for a point in the
interval int\(=(a,b)=\)(rv=1,rv=2). PE proximity region is constructed with respect to the interval int
with expansion parameter \(r \ge 1\) and centrality parameter \(c \in (0,1)\).
Vertex regions are based on the (parameterized) center, \(M_c\),
which is \(M_c=a+c(b-a)\) for the interval, int\(=(a,b)\).
The PE proximity region is constructed whether x is inside or outside the interval int.
See also (ceyhan:metrika-2012;textualpcds).
Usage
NPEint(x, int, r, c = 0.5)
Value
The interval which constitutes the PE proximity region for the point x
Arguments
x
A 1D point for which PE proximity region is constructed.
int
A vector of two real numbers representing an interval.
r
A positive real number which serves as the expansion parameter in PE proximity region;
must be \(\ge 1\).
c
A positive real number in \((0,1)\) parameterizing the center inside int\(=(a,b)\)
with the default c=.5.
For the interval, int\(=(a,b)\), the parameterized center is \(M_c=a+c(b-a)\).