R version 3.2.3 (2015-12-10) -- "Wooden Christmas-Tree"
Copyright (C) 2015 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(4736,4840,4413,4571,4106,4801,3956,3829,4453,4027,4121,4798,3233,3554,3952,3951,3685,4312,3867,4140,4114,3818,3377,3453,3502,4017,5410,5184,5529,6434,4962,2980,2937,3023,2731,3163,3146,3173,3724,3224,4114,3450,2957,3882,4284,4181,3760,4457,4167,3962,5247,5157,3697,3514,3786,3297,3571,3871,3492,3051,3735,3645,4852,4232,3804,4464,4259,3373,4134,4488,3333,4772,4929,5555,7183,9266,4003,3051,3507,3273,3942,3216,3232,3593)
> par3 = '512'
> par2 = 'no'
> par1 = '0'
> ylab = 'Density'
> xlab = 'Value'
> par3 <- '512'
> par2 <- 'no'
> par1 <- '0'
> #'GNU S' R Code compiled by R2WASP v. 1.2.327 (Sat, 26 Sep 2015 10:34:04 +0100)
> #Author: root
> #To cite this work: Wessa, P. (2015), Kernel Density Estimation (v1.0.12) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_density.wasp/
> #Source of accompanying publication: http://www.xycoon.com/density_trace.htm
> #
> if (par1 == '0') bw <- 'nrd0'
> if (par1 != '0') bw <- as.numeric(par1)
> par3 <- as.numeric(par3)
> mydensity <- array(NA, dim=c(par3,8))
> postscript(file="/var/wessaorg/rcomp/tmp/19kiv1455801494.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> mydensity1<-density(x,bw=bw,kernel='gaussian',na.rm=TRUE)
> mydensity[,8] = signif(mydensity1$x,3)
> mydensity[,1] = signif(mydensity1$y,3)
> plot(mydensity1,main='Gaussian Kernel',xlab=xlab,ylab=ylab)
> grid()
> dev.off()
null device 
          1 
> mydensity1

Call:
	density.default(x = x, bw = bw, kernel = "gaussian", na.rm = TRUE)

Data: x (84 obs.);	Bandwidth 'bw' = 269.1

       x               y            
 Min.   : 1924   Min.   :2.020e-08  
 1st Qu.: 3961   1st Qu.:6.071e-06  
 Median : 5998   Median :1.726e-05  
 Mean   : 5998   Mean   :1.226e-04  
 3rd Qu.: 8036   3rd Qu.:2.019e-04  
 Max.   :10073   Max.   :5.452e-04  
> postscript(file="/var/wessaorg/rcomp/tmp/2d0cj1455801494.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> mydensity2<-density(x,bw=bw,kernel='epanechnikov',na.rm=TRUE)
> mydensity[,2] = signif(mydensity2$y,3)
> plot(mydensity2,main='Epanechnikov Kernel',xlab=xlab,ylab=ylab)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3uski1455801494.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> mydensity3<-density(x,bw=bw,kernel='rectangular',na.rm=TRUE)
> mydensity[,3] = signif(mydensity3$y,3)
> plot(mydensity3,main='Rectangular Kernel',xlab=xlab,ylab=ylab)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/4jvdn1455801494.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> mydensity4<-density(x,bw=bw,kernel='triangular',na.rm=TRUE)
> mydensity[,4] = signif(mydensity4$y,3)
> plot(mydensity4,main='Triangular Kernel',xlab=xlab,ylab=ylab)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/5dkbo1455801494.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> mydensity5<-density(x,bw=bw,kernel='biweight',na.rm=TRUE)
> mydensity[,5] = signif(mydensity5$y,3)
> plot(mydensity5,main='Biweight Kernel',xlab=xlab,ylab=ylab)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/6mejr1455801494.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> mydensity6<-density(x,bw=bw,kernel='cosine',na.rm=TRUE)
> mydensity[,6] = signif(mydensity6$y,3)
> plot(mydensity6,main='Cosine Kernel',xlab=xlab,ylab=ylab)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/7x4gd1455801494.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> mydensity7<-density(x,bw=bw,kernel='optcosine',na.rm=TRUE)
> mydensity[,7] = signif(mydensity7$y,3)
> plot(mydensity7,main='Optcosine Kernel',xlab=xlab,ylab=ylab)
> grid()
> dev.off()
null device 
          1 
> 
> #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/rcomp/createtable")
> 
> ab<-table.start()
> ab<-table.row.start(ab)
> ab<-table.element(ab,'Properties of Density Trace',2,TRUE)
> ab<-table.row.end(ab)
> ab<-table.row.start(ab)
> ab<-table.element(ab,'Bandwidth',header=TRUE)
> ab<-table.element(ab,mydensity1$bw)
> ab<-table.row.end(ab)
> ab<-table.row.start(ab)
> ab<-table.element(ab,'#Observations',header=TRUE)
> ab<-table.element(ab,mydensity1$n)
> ab<-table.row.end(ab)
> ab<-table.end(ab)
> a <- ab
> table.save(a,file="/var/wessaorg/rcomp/tmp/8qd671455801494.tab") 
> b<-table.start()
> b<-table.row.start(b)
> b<-table.element(b,'Maximum Density Values',3,TRUE)
> b<-table.row.end(b)
> b<-table.row.start(b)
> b<-table.element(b,'Kernel',1,TRUE)
> b<-table.element(b,'x-value',1,TRUE)
> b<-table.element(b,'max. density',1,TRUE)
> b<-table.row.end(b)
> b<-table.row.start(b)
> b<-table.element(b,'Gaussian',1,TRUE)
> b<-table.element(b,mydensity1$x[mydensity1$y==max(mydensity1$y)],1)
> b<-table.element(b,mydensity1$y[mydensity1$y==max(mydensity1$y)],1)
> b<-table.row.end(b)
> b<-table.row.start(b)
> b<-table.element(b,'Epanechnikov',1,TRUE)
> b<-table.element(b,mydensity2$x[mydensity2$y==max(mydensity2$y)],1)
> b<-table.element(b,mydensity2$y[mydensity2$y==max(mydensity2$y)],1)
> b<-table.row.end(b)
> b<-table.row.start(b)
> b<-table.element(b,'Rectangular',1,TRUE)
> b<-table.element(b,mydensity3$x[mydensity3$y==max(mydensity3$y)],1)
> b<-table.element(b,mydensity3$y[mydensity3$y==max(mydensity3$y)],1)
> b<-table.row.end(b)
> b<-table.row.start(b)
> b<-table.element(b,'Triangular',1,TRUE)
> b<-table.element(b,mydensity4$x[mydensity4$y==max(mydensity4$y)],1)
> b<-table.element(b,mydensity4$y[mydensity4$y==max(mydensity4$y)],1)
> b<-table.row.end(b)
> b<-table.row.start(b)
> b<-table.element(b,'Biweight',1,TRUE)
> b<-table.element(b,mydensity5$x[mydensity5$y==max(mydensity5$y)],1)
> b<-table.element(b,mydensity5$y[mydensity5$y==max(mydensity5$y)],1)
> b<-table.row.end(b)
> b<-table.row.start(b)
> b<-table.element(b,'Cosine',1,TRUE)
> b<-table.element(b,mydensity6$x[mydensity6$y==max(mydensity6$y)],1)
> b<-table.element(b,mydensity6$y[mydensity6$y==max(mydensity6$y)],1)
> b<-table.row.end(b)
> b<-table.row.start(b)
> b<-table.element(b,'Optcosine',1,TRUE)
> b<-table.element(b,mydensity7$x[mydensity7$y==max(mydensity7$y)],1)
> b<-table.element(b,mydensity7$y[mydensity7$y==max(mydensity7$y)],1)
> b<-table.row.end(b)
> b<-table.end(b)
> a <- b[1]
> table.save(a,file="/var/wessaorg/rcomp/tmp/9scyt1455801494.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Kernel Density Values',8,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'x-value',1,TRUE)
> a<-table.element(a,'Gaussian',1,TRUE)
> a<-table.element(a,'Epanechnikov',1,TRUE)
> a<-table.element(a,'Rectangular',1,TRUE)
> a<-table.element(a,'Triangular',1,TRUE)
> a<-table.element(a,'Biweight',1,TRUE)
> a<-table.element(a,'Cosine',1,TRUE)
> a<-table.element(a,'Optcosine',1,TRUE)
> a<-table.row.end(a)
> if (par2=='yes') {
+ for(i in 1:par3) {
+ a<-table.row.start(a)
+ a<-table.element(a,mydensity[i,8],1,TRUE)
+ for(j in 1:7) {
+ a<-table.element(a,mydensity[i,j],1)
+ }
+ a<-table.row.end(a)
+ }
+ } else {
+ a<-table.row.start(a)
+ a<-table.element(a,'Kernel Density Values are not shown',8)
+ a<-table.row.end(a)
+ }
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/10gnjn1455801494.tab") 
> 
> try(system("convert tmp/19kiv1455801494.ps tmp/19kiv1455801494.png",intern=TRUE))
character(0)
> try(system("convert tmp/2d0cj1455801494.ps tmp/2d0cj1455801494.png",intern=TRUE))
character(0)
> try(system("convert tmp/3uski1455801494.ps tmp/3uski1455801494.png",intern=TRUE))
character(0)
> try(system("convert tmp/4jvdn1455801494.ps tmp/4jvdn1455801494.png",intern=TRUE))
character(0)
> try(system("convert tmp/5dkbo1455801494.ps tmp/5dkbo1455801494.png",intern=TRUE))
character(0)
> try(system("convert tmp/6mejr1455801494.ps tmp/6mejr1455801494.png",intern=TRUE))
character(0)
> try(system("convert tmp/7x4gd1455801494.ps tmp/7x4gd1455801494.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.492   0.455   2.975