num.arcsPEend.int: Number of arcs of Proportional Edge Proximity Catch Digraphs...

In elvanceyhan/pcds: Proximity Catch Digraphs and Their Applications

Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - end interval case

Description

Returns the number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) whose vertices are a 1D numerical data set, Xp, outside the interval int=(a,b).

PE proximity region is constructed only with expansion parameter r \ge 1 for points outside the interval (a,b). End vertex regions are based on the end points of the interval, i.e., the corresponding vertex region is an interval as (-\infty,a) or (b,\infty) for the interval (a,b). For the number of arcs, loops are not allowed, so arcs are only possible for points outside the interval, int, for this function.

See also (\insertCiteceyhan:metrika-2012;textualpcds).

Usage

num.arcsPEend.int(Xp, int, r)

Arguments

Xp	A vector of 1D points which constitute the vertices of the digraph.
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.

Value

Number of arcs for the PE-PCD with vertices being 1D data set, Xp, expansion parameter, r \ge 1, for the end intervals.

Author(s)

Elvan Ceyhan

References

\insertAllCited

See Also

num.arcsPEmid.int, num.arcsPE1D, num.arcsCSmid.int, and num.arcsCSend.int

Examples

## Not run: 
a<-0; b<-10; int<-c(a,b)

n<-5
XpL<-runif(n,a-5,a)
XpR<-runif(n,b,b+5)
Xp<-c(XpL,XpR)

r<-1.2
num.arcsPEend.int(Xp,int,r)
num.arcsPEend.int(Xp,int,r=2)

## End(Not run)

elvanceyhan/pcds documentation built on June 29, 2023, 8:12 a.m.