pcds (version 0.1.1)

NumArcsPEint: Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one interval case

Description

Returns the number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) whose vertices are the 1D data set dat in the one-interval case.

The data points could be inside or outside the interval is \(int=(a,b)\). PE proximity region is constructed with an expansion parameter \(r \ge 1\) and a centrality parameter c in \((0,1)\).

The PE proximity region is constructed for both points inside and outside the interval, hence the arcs may exist for all points inside or outside the interval.

See also (ceyhan:metrika-2012;textualpcds).

Usage

NumArcsPEint(dat, r, c = 0.5, int)

Arguments

dat

A set of 1D points which constitute the vertices of PE-PCD.

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 \(M_c=a+c(b-a)\); default=0.5

int

A vector of two real numbers representing an interval.

Value

Number of arcs for the PE-PCD whose vertices are the 1D data set, dat, with expansion parameter, \(r \ge 1\), and centrality parameter, c in \((0,1)\).

References

See Also

NumArcsPEmid1D, NumArcsPEend1D, and NumArcsCSint

Examples

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

n<-10
dat<-runif(n,a,b)
NumArcsPEint(dat,r,c,int)

NumArcsPEint(3,r,c,int)

NumArcsPEint(dat,r,c=.3,int)

NumArcsPEint(dat,r=1.5,c,int)

n<-10  #try also n<-20
dat<-runif(n,a,b)

NumArcsPEint(dat,r,c,int)

dat<-runif(n,a+10,b+10)
NumArcsPEint(dat,r,c,int)

n<-10
dat<-runif(n,a,b)
NumArcsPEint(dat,r,c,int)

# }