# The plot of the Central Similarity (CS) Proximity Regions (vertices jittered along $y$-coordinate) - multiple interval case Plots the points in and outside of the intervals based on `Yp` points and also the CS proximity regions (which are also intervals). If there are duplicates of `Yp` or `Xp` points, only one point is retained for each duplicate value, and a warning message is printed. CS proximity region is constructed with expansion parameter $t>0$ and centrality parameter $c \in (0,1)$. For better visualization, a uniform jitter from $U(-Jit,Jit)$ (default is $Jit=.1$) times range of `Xp` and `Yp` and the proximity regions (intervals)) is added to the $y$-direction. `centers` is a logical argument, if `TRUE`, plot includes the centers of the intervals as vertical lines in the plot, else centers of the intervals are not plotted. See also (if(!exists(".Rdpack.currefs")) .Rdpack.currefs \<-new.env();Rdpack::insert_citeOnly(keys="ceyhan:revstat-2016;textual",package="pcds",cached_env=.Rdpack.currefs) ). ```r plotCSregs1D( Xp, Yp, t, c = 0.5, Jit = 0.1, main = NULL, xlab = NULL, ylab = NULL, xlim = NULL, ylim = NULL, centers = FALSE, ... ) ``` ## Arguments - `Xp`: A set of 1D points for which CS proximity regions are plotted. - `Yp`: A set of 1D points which constitute the end points of the intervals which partition the real line. - `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 middle intervals 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 `Xp` and `Yp` and the proximity regions (intervals) 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). - `centers`: A logical argument, if `TRUE`, plot includes the centers of the intervals as vertical lines in the plot, else centers of the intervals are not plotted. - ``...``: Additional `plot` parameters. ## Returns Plot of the CS proximity regions for 1D points located in the middle or end-intervals based on `Yp` points ## Examples ```r t<-2 c<-.4 a<-0; b<-10; #nx is number of X points (target) and ny is number of Y points (nontarget) nx<-20; ny<-4; #try also nx<-40; ny<-10 or nx<-1000; ny<-10; set.seed(1) xr<-range(a,b) xf<-(xr[2]-xr[1])*.1 Xp<-runif(nx,a-xf,b+xf) Yp<-runif(ny,a,b) plotCSregs1D(Xp,Yp,t,c,xlab="",ylab="") plotCSregs1D(Xp,Yp+10,t,c,xlab="",ylab="") ``` ## References if(!exists(".Rdpack.currefs")) .Rdpack.currefs \<-new.env();Rdpack::insert_all_ref(.Rdpack.currefs) ## See Also `plotCSregs.int` and `plotPEregs1D` ## Author(s) Elvan Ceyhan

plotCSregs1D function