R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
Copyright (C) 2013 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(5119676,4737614,5425255,5195396,5779583,6298652,6175944,6217653,6086619,5060250,3950207,3096398,3287215,2970037,3436547,3339099,3661160,3675026,3917675,3942501,3848079,3993974,3977059,4406890,4827736,4507189,5249062,5009908,5195771,5079423,5531062,5109363,4773753,5347125,5379543,6114549,6346091,5900935,7265533,6115096,7062343,7027841,6644644,7359822,7192534,7065705,7788175,6934803,7492202,8478866,8748316,8382956,8414863,7501787,8031203,9198243,8500998,9260617,9494903,8791918,8568871,8570003,8066695,7800532,8136832,7713840,7986953,7479868,7917564,8055845,7490221,7648110)
> par3 = '512'
> par2 = 'no'
> par1 = '0'
> ylab = 'Density'
> xlab = 'Value'
> par3 <- '512'
> par2 <- 'no'
> par1 <- '0'
> #'GNU S' R Code compiled by R2WASP v. 1.2.291 ()
> #Author: root
> #To cite this work: Wessa, P. (2012), Kernel Density Estimation (v1.0.11) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_density.wasp/
> #Source of accompanying publication: http://www.xycoon.com/density_trace.htm
> #
> if (par1 == '0') bw <- 'nrd0'
> if (par1 != '0') bw <- as.numeric(par1)
> par3 <- as.numeric(par3)
> mydensity <- array(NA, dim=c(par3,8))
> postscript(file="/var/wessaorg/rcomp/tmp/1a5fc1423083425.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> mydensity1<-density(x,bw=bw,kernel='gaussian',na.rm=TRUE)
> mydensity[,8] = signif(mydensity1$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 (72 obs.);	Bandwidth 'bw' = 6.862e+05

       x                  y            
 Min.   :  911350   Min.   :1.512e-10  
 1st Qu.: 3571910   1st Qu.:1.653e-08  
 Median : 6232470   Median :1.113e-07  
 Mean   : 6232470   Mean   :9.387e-08  
 3rd Qu.: 8893030   3rd Qu.:1.574e-07  
 Max.   :11553590   Max.   :1.858e-07  
> postscript(file="/var/wessaorg/rcomp/tmp/2akr31423083425.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$y,3)
> plot(mydensity2,main='Epanechnikov Kernel',xlab=xlab,ylab=ylab)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/39am91423083425.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> mydensity3<-density(x,bw=bw,kernel='rectangular',na.rm=TRUE)
> mydensity[,3] = signif(mydensity3$y,3)
> plot(mydensity3,main='Rectangular Kernel',xlab=xlab,ylab=ylab)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/4nr4r1423083425.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$y,3)
> plot(mydensity4,main='Triangular Kernel',xlab=xlab,ylab=ylab)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/5ws811423083425.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> mydensity5<-density(x,bw=bw,kernel='biweight',na.rm=TRUE)
> mydensity[,5] = signif(mydensity5$y,3)
> plot(mydensity5,main='Biweight Kernel',xlab=xlab,ylab=ylab)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/6qz7x1423083425.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$y,3)
> plot(mydensity6,main='Cosine Kernel',xlab=xlab,ylab=ylab)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/7jco71423083425.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> mydensity7<-density(x,bw=bw,kernel='optcosine',na.rm=TRUE)
> mydensity[,7] = signif(mydensity7$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")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Properties of Density Trace',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Bandwidth',header=TRUE)
> a<-table.element(a,mydensity1$bw)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'#Observations',header=TRUE)
> a<-table.element(a,mydensity1$n)
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/8ivr81423083425.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Maximum Density Values',3,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Kernel',1,TRUE)
> a<-table.element(a,'x-value',1,TRUE)
> a<-table.element(a,'max. density',1,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Gaussian',1,TRUE)
> a<-table.element(a,mydensity1$x[mydensity1$y==max(mydensity1$y)],1)
> a<-table.element(a,mydensity1$y[mydensity1$y==max(mydensity1$y)],1)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Epanechnikov',1,TRUE)
> a<-table.element(a,mydensity2$x[mydensity2$y==max(mydensity2$y)],1)
> a<-table.element(a,mydensity2$y[mydensity2$y==max(mydensity2$y)],1)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Rectangular',1,TRUE)
> a<-table.element(a,mydensity3$x[mydensity3$y==max(mydensity3$y)],1)
> a<-table.element(a,mydensity3$y[mydensity3$y==max(mydensity3$y)],1)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Triangular',1,TRUE)
> a<-table.element(a,mydensity4$x[mydensity4$y==max(mydensity4$y)],1)
> a<-table.element(a,mydensity4$y[mydensity4$y==max(mydensity4$y)],1)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Biweight',1,TRUE)
> a<-table.element(a,mydensity5$x[mydensity5$y==max(mydensity5$y)],1)
> a<-table.element(a,mydensity5$y[mydensity5$y==max(mydensity5$y)],1)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Cosine',1,TRUE)
> a<-table.element(a,mydensity6$x[mydensity6$y==max(mydensity6$y)],1)
> a<-table.element(a,mydensity6$y[mydensity6$y==max(mydensity6$y)],1)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Optcosine',1,TRUE)
> a<-table.element(a,mydensity7$x[mydensity7$y==max(mydensity7$y)],1)
> a<-table.element(a,mydensity7$y[mydensity7$y==max(mydensity7$y)],1)
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/92gn21423083425.tab") 
> if (par2=='yes') {
+ 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)
+ 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)
+ }
+ a<-table.end(a)
+ table.save(a,file="/var/wessaorg/rcomp/tmp/10z3tt1423083425.tab") 
+ }
> 
> try(system("convert tmp/1a5fc1423083425.ps tmp/1a5fc1423083425.png",intern=TRUE))
character(0)
> try(system("convert tmp/2akr31423083425.ps tmp/2akr31423083425.png",intern=TRUE))
character(0)
> try(system("convert tmp/39am91423083425.ps tmp/39am91423083425.png",intern=TRUE))
character(0)
> try(system("convert tmp/4nr4r1423083425.ps tmp/4nr4r1423083425.png",intern=TRUE))
character(0)
> try(system("convert tmp/5ws811423083425.ps tmp/5ws811423083425.png",intern=TRUE))
character(0)
> try(system("convert tmp/6qz7x1423083425.ps tmp/6qz7x1423083425.png",intern=TRUE))
character(0)
> try(system("convert tmp/7jco71423083425.ps tmp/7jco71423083425.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.752   0.452   3.231