plotPEarcs.int {pcds}

The plot of the arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) for 1D data (vertices jittered along y-coordinate) - one interval case

Description

Plots the arcs of PE-PCD whose vertices are the 1D points, Xp. PE proximity regions are constructed with expansion parameter r \ge 1 and centrality parameter c \in (0,1) and the intervals are based on the interval int=(a,b) That is, data set Xp constitutes the vertices of the digraph and int determines the end points of the interval. If there are duplicates of Xp points, only one point is retained for each duplicate value, and a warning message is printed.

For better visualization, a uniform jitter from U(-Jit,Jit) (default for Jit=.1) is added to the y-direction where Jit equals to the range of \{Xp, int\} multiplied by Jit with default for Jit=.1). center is a logical argument, if TRUE, plot includes the center of the interval int as a vertical line in the plot, else center of the interval is not plotted.

See also (Ceyhan (2012)).

Usage

plotPEarcs.int(
  Xp,
  int,
  r,
  c = 0.5,
  Jit = 0.1,
  main = NULL,
  xlab = NULL,
  ylab = NULL,
  xlim = NULL,
  ylim = NULL,
  center = FALSE,
  ...
)

Arguments

Xp

A vector of 1D points constituting the vertices of the PE-PCD.

int

A vector of two 1D points constituting the end points of the interval.

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 of the interval with the default c=.5. For the interval, int=(a,b), the parameterized center is M_c=a+c(b-a).

Jit

A positive real number that determines the amount of jitter along the y-axis, default=0.1 and Xp points are jittered according to U(-Jit,Jit) distribution along the y-axis where Jit equals to the range of range of \{Xp, int\} multiplied by Jit).

main

An overall title for the plot (default=NULL).

xlab, ylab

Titles of the x and y axes in the plot (default=NULL for both).

xlim, ylim

Two numeric vectors of length 2, giving the x- and y-coordinate ranges (default=NULL for both).

center

A logical argument, if TRUE, plot includes the center of the interval int as a vertical line in the plot, else center of the interval is not plotted.

...

Additional plot parameters.

Value

A plot of the arcs of PE-PCD whose vertices are the 1D data set Xp in which vertices are jittered along y-axis for better visualization.

Author(s)

Elvan Ceyhan

References

Ceyhan E (2012). “The Distribution of the Relative Arc Density of a Family of Interval Catch Digraph Based on Uniform Data.” Metrika, 75(6), 761-793.

See Also

plotPEarcs1D and plotCSarcs.int

Examples

r<-2
c<-.4
a<-0; b<-10; int<-c(a,b)

#n is number of X points
n<-10;  #try also n<-20;

set.seed(1)
xf<-(int[2]-int[1])*.1

Xp<-runif(n,a-xf,b+xf)

Xlim=range(Xp,int)
Ylim=.1*c(-1,1)

jit<-.1
set.seed(1)
plotPEarcs.int(Xp,int,r=1.5,c=.3,jit,xlab="",ylab="",center=TRUE)
set.seed(1)
plotPEarcs.int(Xp,int,r=2,c=.3,jit,xlab="",ylab="",center=TRUE)