pcds (version 0.1.2)

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, 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)

# }