# The plot of the Proportional Edge (PE) Proximity Regions for a general interval (vertices jittered along $y$-coordinate) - one interval case Plots the points in and outside of the interval `int` and also the PE proximity regions (which are also intervals). PE proximity regions are constructed with expansion parameter $r \ge 1$ and centrality parameter $c \in (0,1)$. For better visualization, a uniform jitter from $U(-Jit,Jit)$ (default is $Jit=.1$) times range of proximity regions and `Xp`) is added to the $y$-direction. If there are duplicates of `Xp` points, only one point is retained for each duplicate value, and a warning message is printed. `center` is a logical argument, if `TRUE`, plot includes the center of the interval as a vertical line in the plot, else center of the interval is not plotted. See also (if(!exists(".Rdpack.currefs")) .Rdpack.currefs \<-new.env();Rdpack::insert_citeOnly(keys="ceyhan:metrika-2012;textual",package="pcds",cached_env=.Rdpack.currefs) ). ```r plotPEregs.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 set of 1D points for which PE proximity regions are to be constructed. - `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 $\ge 1$. - `c`: A positive real number in $(0,1)$ parameterizing the center inside `int`$=(a,b)$ 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 the union of `Xp` and `Yp` points multiplied by `Jit`). - `main`: An overall title for the plot (default=`NULL`). - `xlab, ylab`: Titles for the $x$ and $y$ axes, respectively (default=`NULL` for both). - `xlim, ylim`: Two `numeric` vectors of length 2, giving the $x$- and $y$-coordinate ranges. - `center`: A logical argument, if `TRUE`, plot includes the center of the interval as a vertical line in the plot, else center of the interval is not plotted. - ``...``: Additional `plot` parameters. ## Returns Plot of the PE proximity regions for 1D points in or outside the interval `int` ## Examples ```r c<-.4 r<-2 a<-0; b<-10; int<-c(a,b) n<-10 xf<-(int[2]-int[1])*.1 Xp<-runif(n,a-xf,b+xf) #try also Xp<-runif(n,a-5,b+5) plotPEregs.int(Xp,int,r,c,xlab="x",ylab="") plotPEregs.int(7,int,r,c,xlab="x",ylab="") ``` ## References if(!exists(".Rdpack.currefs")) .Rdpack.currefs \<-new.env();Rdpack::insert_all_ref(.Rdpack.currefs) ## See Also `plotPEregs1D`, `plotCSregs.int`, and `plotCSregs.int` ## Author(s) Elvan Ceyhan

plotPEregs.int function