pcds (version 0.1.1)

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 constitutess 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, r, c = 0.5, int)

Arguments

x

A 1D point for which PE proximity region is constructed.

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 \(int=(a,b)\). For the interval, \(int=(a,b)\), the parameterized center is \(M_c=a+c(b-a)\), and default=0.5

int

A vector of two real numbers representing an interval.

Value

The interval which constitutes the PE proximity region for the point x

References

See Also

NCSint, NPEtri and NPEtetra

Examples

# NOT RUN {
c<-.4
r<-2
a<-0; b<-10; int<-c(a,b)

NPEint(7,r,c,int)
NPEint(17,r,c,int)
NPEint(1,r,c,int)
NPEint(-1,r,c,int)

NPEint(3,r,c,int)
NPEint(4,r,c,int)
NPEint(a,r,c,int)

# }