pcds (version 0.1.2)

NCSint: The end points of the Central Similarity (CS) Proximity Region for a point - one interval case

Description

Returns the end points of the interval which constitutes the CS proximity region for a point in the interval int\(=(a,b)=\)(rv=1,rv=2).

CS proximity region is constructed with respect to the interval int with expansion parameter \(t>0\) 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 CS proximity region is constructed whether x is inside or outside the interval int.

See also (ceyhan:revstat-2016;textualpcds).

Usage

NCSint(x, t, c = 0.5, int)

Arguments

x

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

t

A positive real number which serves as the expansion parameter in CS proximity region.

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 CS proximity region for the point x

References

See Also

NPEint and NCStri

Examples

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

NCSint(7,t,c,int)
NCSint(17,t,c,int)
NCSint(1,t,c,int)
NCSint(-1,t,c,int)

NCSint(3,t,c,int)
NCSint(4,t,c,int)
NCSint(a,t,c,int)

# }