# The plot of the arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data (vertices jittered along $y$-coordinate) - one interval case Plots the arcs of CS-PCD whose vertices are the 1D points, `Xp`. CS proximity regions are constructed with expansion parameter $t > 0$ 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. ```r plotCSarcs.int( Xp, int, t, 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 CS-PCD. - `int`: A `vector` of two 1D points constituting the end points of the interval. - `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 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. ## Returns A plot of the arcs of CS-PCD whose vertices are the 1D data set `Xp` in which vertices are jittered along $y$-axis for better visualization. ## Examples ```r tau<-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=3*c(-1,1) jit<-.1 plotCSarcs.int(Xp,int,t=tau,c,jit,xlab="",ylab="",xlim=Xlim,ylim=Ylim) set.seed(1) plotCSarcs.int(Xp,int,t=1.5,c=.3,jit,xlab="",ylab="",center=TRUE) set.seed(1) plotCSarcs.int(Xp,int,t=2,c=.4,jit,xlab="",ylab="",center=TRUE) ``` ## References if(!exists(".Rdpack.currefs")) .Rdpack.currefs \<-new.env();Rdpack::insert_all_ref(.Rdpack.currefs) ## See Also `plotCSarcs1D` and `plotPEarcs.int` ## Author(s) Elvan Ceyhan

plotCSarcs.int function