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Author's title

Author*Unverified author*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationMon, 08 Oct 2012 09:16:47 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Oct/08/t1349702226l106d7kgsydm6nr.htm/, Retrieved Wed, 01 May 2024 23:23:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=173499, Retrieved Wed, 01 May 2024 23:23:13 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact61
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kernel Density Estimation] [] [2012-10-08 13:16:47] [595720b70ea55335b8ff0acbeccfc0bf] [Current]
- R       [Kernel Density Estimation] [] [2012-11-15 13:56:01] [34b8bbf46ccf1f2aafb8431f8613d208]
- RMPD    [(Partial) Autocorrelation Function] [] [2012-11-15 15:07:08] [34b8bbf46ccf1f2aafb8431f8613d208]
- RMPD    [(Partial) Autocorrelation Function] [] [2012-11-15 15:16:11] [34b8bbf46ccf1f2aafb8431f8613d208]
- RMPD    [(Partial) Autocorrelation Function] [] [2012-11-15 15:18:42] [34b8bbf46ccf1f2aafb8431f8613d208]
- R PD      [(Partial) Autocorrelation Function] [] [2012-11-15 15:20:10] [34b8bbf46ccf1f2aafb8431f8613d208]
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Dataseries X:
32.98
32.7
32.74
32.87
32.95
32.94
32.94
32.97
32.87
32.96
32.97
32.99
32.99
33.04
33.23
33.03
33.05
33.03
33.04
33.11
33.14
33.08
33.09
33.07
33.07
33.02
33
33.08
33.35
33.36
33.36
33.35
33.41
33.47
33.47
33.48
33.48
33.55
33.68
33.72
33.79
33.83
33.83
33.84
33.91
34.06
34.16
34.16
34.16
34.29
34.48
34.48
34.39
34.29
34.29
34.25
34.2
34.1
34.09
34.06
34.06
34.04
34.19
34.21
34.17
34.08
34.08
34.08
34.3
34.28
34.45
34.41




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 5 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=173499&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=173499&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=173499&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Properties of Density Trace
Bandwidth0.212174916131599
#Observations72

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 0.212174916131599 \tabularnewline
#Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=173499&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]0.212174916131599[/C][/ROW]
[ROW][C]#Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=173499&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=173499&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Properties of Density Trace
Bandwidth0.212174916131599
#Observations72







Maximum Density Values
Kernelx-valuemax. density
Gaussian33.04331892572160.706603906271051
Epanechnikov33.1090401477660.665300934191963
Rectangular33.19865999600840.680276301878601
Triangular33.04929358227110.698366190636812
Biweight33.08514152156810.672569469910681
Cosine33.07319220846910.676829507737597
Optcosine33.10306549121650.667421508877313

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 33.0433189257216 & 0.706603906271051 \tabularnewline
Epanechnikov & 33.109040147766 & 0.665300934191963 \tabularnewline
Rectangular & 33.1986599960084 & 0.680276301878601 \tabularnewline
Triangular & 33.0492935822711 & 0.698366190636812 \tabularnewline
Biweight & 33.0851415215681 & 0.672569469910681 \tabularnewline
Cosine & 33.0731922084691 & 0.676829507737597 \tabularnewline
Optcosine & 33.1030654912165 & 0.667421508877313 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=173499&T=2

[TABLE]
[ROW][C]Maximum Density Values[/C][/ROW]
[ROW][C]Kernel[/C][C]x-value[/C][C]max. density[/C][/ROW]
[ROW][C]Gaussian[/C][C]33.0433189257216[/C][C]0.706603906271051[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]33.109040147766[/C][C]0.665300934191963[/C][/ROW]
[ROW][C]Rectangular[/C][C]33.1986599960084[/C][C]0.680276301878601[/C][/ROW]
[ROW][C]Triangular[/C][C]33.0492935822711[/C][C]0.698366190636812[/C][/ROW]
[ROW][C]Biweight[/C][C]33.0851415215681[/C][C]0.672569469910681[/C][/ROW]
[ROW][C]Cosine[/C][C]33.0731922084691[/C][C]0.676829507737597[/C][/ROW]
[ROW][C]Optcosine[/C][C]33.1030654912165[/C][C]0.667421508877313[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=173499&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=173499&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Maximum Density Values
Kernelx-valuemax. density
Gaussian33.04331892572160.706603906271051
Epanechnikov33.1090401477660.665300934191963
Rectangular33.19865999600840.680276301878601
Triangular33.04929358227110.698366190636812
Biweight33.08514152156810.672569469910681
Cosine33.07319220846910.676829507737597
Optcosine33.10306549121650.667421508877313







Maximum Density Values
Kernelx-valuemax. density
Gaussian33.04331892572160.706603906271051
Epanechnikov33.1090401477660.665300934191963
Rectangular33.20463465255790.680276301878601
Triangular33.04929358227110.698366190636812
Biweight33.08514152156810.672569469910681
Cosine33.07319220846910.676829507737597
Optcosine33.10306549121650.667421508877313

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 33.0433189257216 & 0.706603906271051 \tabularnewline
Epanechnikov & 33.109040147766 & 0.665300934191963 \tabularnewline
Rectangular & 33.2046346525579 & 0.680276301878601 \tabularnewline
Triangular & 33.0492935822711 & 0.698366190636812 \tabularnewline
Biweight & 33.0851415215681 & 0.672569469910681 \tabularnewline
Cosine & 33.0731922084691 & 0.676829507737597 \tabularnewline
Optcosine & 33.1030654912165 & 0.667421508877313 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=173499&T=3

[TABLE]
[ROW][C]Maximum Density Values[/C][/ROW]
[ROW][C]Kernel[/C][C]x-value[/C][C]max. density[/C][/ROW]
[ROW][C]Gaussian[/C][C]33.0433189257216[/C][C]0.706603906271051[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]33.109040147766[/C][C]0.665300934191963[/C][/ROW]
[ROW][C]Rectangular[/C][C]33.2046346525579[/C][C]0.680276301878601[/C][/ROW]
[ROW][C]Triangular[/C][C]33.0492935822711[/C][C]0.698366190636812[/C][/ROW]
[ROW][C]Biweight[/C][C]33.0851415215681[/C][C]0.672569469910681[/C][/ROW]
[ROW][C]Cosine[/C][C]33.0731922084691[/C][C]0.676829507737597[/C][/ROW]
[ROW][C]Optcosine[/C][C]33.1030654912165[/C][C]0.667421508877313[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=173499&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=173499&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Maximum Density Values
Kernelx-valuemax. density
Gaussian33.04331892572160.706603906271051
Epanechnikov33.1090401477660.665300934191963
Rectangular33.20463465255790.680276301878601
Triangular33.04929358227110.698366190636812
Biweight33.08514152156810.672569469910681
Cosine33.07319220846910.676829507737597
Optcosine33.10306549121650.667421508877313







Maximum Density Values
Kernelx-valuemax. density
Gaussian33.04331892572160.706603906271051
Epanechnikov33.1090401477660.665300934191963
Rectangular33.21060930910740.680276301878601
Triangular33.04929358227110.698366190636812
Biweight33.08514152156810.672569469910681
Cosine33.07319220846910.676829507737597
Optcosine33.10306549121650.667421508877313

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 33.0433189257216 & 0.706603906271051 \tabularnewline
Epanechnikov & 33.109040147766 & 0.665300934191963 \tabularnewline
Rectangular & 33.2106093091074 & 0.680276301878601 \tabularnewline
Triangular & 33.0492935822711 & 0.698366190636812 \tabularnewline
Biweight & 33.0851415215681 & 0.672569469910681 \tabularnewline
Cosine & 33.0731922084691 & 0.676829507737597 \tabularnewline
Optcosine & 33.1030654912165 & 0.667421508877313 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=173499&T=4

[TABLE]
[ROW][C]Maximum Density Values[/C][/ROW]
[ROW][C]Kernel[/C][C]x-value[/C][C]max. density[/C][/ROW]
[ROW][C]Gaussian[/C][C]33.0433189257216[/C][C]0.706603906271051[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]33.109040147766[/C][C]0.665300934191963[/C][/ROW]
[ROW][C]Rectangular[/C][C]33.2106093091074[/C][C]0.680276301878601[/C][/ROW]
[ROW][C]Triangular[/C][C]33.0492935822711[/C][C]0.698366190636812[/C][/ROW]
[ROW][C]Biweight[/C][C]33.0851415215681[/C][C]0.672569469910681[/C][/ROW]
[ROW][C]Cosine[/C][C]33.0731922084691[/C][C]0.676829507737597[/C][/ROW]
[ROW][C]Optcosine[/C][C]33.1030654912165[/C][C]0.667421508877313[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=173499&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=173499&T=4

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Maximum Density Values
Kernelx-valuemax. density
Gaussian33.04331892572160.706603906271051
Epanechnikov33.1090401477660.665300934191963
Rectangular33.21060930910740.680276301878601
Triangular33.04929358227110.698366190636812
Biweight33.08514152156810.672569469910681
Cosine33.07319220846910.676829507737597
Optcosine33.10306549121650.667421508877313







Maximum Density Values
Kernelx-valuemax. density
Gaussian33.04331892572160.706603906271051
Epanechnikov33.1090401477660.665300934191963
Rectangular33.21658396565690.680276301878601
Triangular33.04929358227110.698366190636812
Biweight33.08514152156810.672569469910681
Cosine33.07319220846910.676829507737597
Optcosine33.10306549121650.667421508877313

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 33.0433189257216 & 0.706603906271051 \tabularnewline
Epanechnikov & 33.109040147766 & 0.665300934191963 \tabularnewline
Rectangular & 33.2165839656569 & 0.680276301878601 \tabularnewline
Triangular & 33.0492935822711 & 0.698366190636812 \tabularnewline
Biweight & 33.0851415215681 & 0.672569469910681 \tabularnewline
Cosine & 33.0731922084691 & 0.676829507737597 \tabularnewline
Optcosine & 33.1030654912165 & 0.667421508877313 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=173499&T=5

[TABLE]
[ROW][C]Maximum Density Values[/C][/ROW]
[ROW][C]Kernel[/C][C]x-value[/C][C]max. density[/C][/ROW]
[ROW][C]Gaussian[/C][C]33.0433189257216[/C][C]0.706603906271051[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]33.109040147766[/C][C]0.665300934191963[/C][/ROW]
[ROW][C]Rectangular[/C][C]33.2165839656569[/C][C]0.680276301878601[/C][/ROW]
[ROW][C]Triangular[/C][C]33.0492935822711[/C][C]0.698366190636812[/C][/ROW]
[ROW][C]Biweight[/C][C]33.0851415215681[/C][C]0.672569469910681[/C][/ROW]
[ROW][C]Cosine[/C][C]33.0731922084691[/C][C]0.676829507737597[/C][/ROW]
[ROW][C]Optcosine[/C][C]33.1030654912165[/C][C]0.667421508877313[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=173499&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=173499&T=5

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Maximum Density Values
Kernelx-valuemax. density
Gaussian33.04331892572160.706603906271051
Epanechnikov33.1090401477660.665300934191963
Rectangular33.21658396565690.680276301878601
Triangular33.04929358227110.698366190636812
Biweight33.08514152156810.672569469910681
Cosine33.07319220846910.676829507737597
Optcosine33.10306549121650.667421508877313







Maximum Density Values
Kernelx-valuemax. density
Gaussian33.04331892572160.706603906271051
Epanechnikov33.1090401477660.665300934191963
Rectangular33.22255862220630.680276301878601
Triangular33.04929358227110.698366190636812
Biweight33.08514152156810.672569469910681
Cosine33.07319220846910.676829507737597
Optcosine33.10306549121650.667421508877313

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 33.0433189257216 & 0.706603906271051 \tabularnewline
Epanechnikov & 33.109040147766 & 0.665300934191963 \tabularnewline
Rectangular & 33.2225586222063 & 0.680276301878601 \tabularnewline
Triangular & 33.0492935822711 & 0.698366190636812 \tabularnewline
Biweight & 33.0851415215681 & 0.672569469910681 \tabularnewline
Cosine & 33.0731922084691 & 0.676829507737597 \tabularnewline
Optcosine & 33.1030654912165 & 0.667421508877313 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=173499&T=6

[TABLE]
[ROW][C]Maximum Density Values[/C][/ROW]
[ROW][C]Kernel[/C][C]x-value[/C][C]max. density[/C][/ROW]
[ROW][C]Gaussian[/C][C]33.0433189257216[/C][C]0.706603906271051[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]33.109040147766[/C][C]0.665300934191963[/C][/ROW]
[ROW][C]Rectangular[/C][C]33.2225586222063[/C][C]0.680276301878601[/C][/ROW]
[ROW][C]Triangular[/C][C]33.0492935822711[/C][C]0.698366190636812[/C][/ROW]
[ROW][C]Biweight[/C][C]33.0851415215681[/C][C]0.672569469910681[/C][/ROW]
[ROW][C]Cosine[/C][C]33.0731922084691[/C][C]0.676829507737597[/C][/ROW]
[ROW][C]Optcosine[/C][C]33.1030654912165[/C][C]0.667421508877313[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=173499&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=173499&T=6

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Maximum Density Values
Kernelx-valuemax. density
Gaussian33.04331892572160.706603906271051
Epanechnikov33.1090401477660.665300934191963
Rectangular33.22255862220630.680276301878601
Triangular33.04929358227110.698366190636812
Biweight33.08514152156810.672569469910681
Cosine33.07319220846910.676829507737597
Optcosine33.10306549121650.667421508877313







Maximum Density Values
Kernelx-valuemax. density
Gaussian33.04331892572160.706603906271051
Epanechnikov33.1090401477660.665300934191963
Rectangular33.22853327875580.680276301878601
Triangular33.04929358227110.698366190636812
Biweight33.08514152156810.672569469910681
Cosine33.07319220846910.676829507737597
Optcosine33.10306549121650.667421508877313

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 33.0433189257216 & 0.706603906271051 \tabularnewline
Epanechnikov & 33.109040147766 & 0.665300934191963 \tabularnewline
Rectangular & 33.2285332787558 & 0.680276301878601 \tabularnewline
Triangular & 33.0492935822711 & 0.698366190636812 \tabularnewline
Biweight & 33.0851415215681 & 0.672569469910681 \tabularnewline
Cosine & 33.0731922084691 & 0.676829507737597 \tabularnewline
Optcosine & 33.1030654912165 & 0.667421508877313 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=173499&T=7

[TABLE]
[ROW][C]Maximum Density Values[/C][/ROW]
[ROW][C]Kernel[/C][C]x-value[/C][C]max. density[/C][/ROW]
[ROW][C]Gaussian[/C][C]33.0433189257216[/C][C]0.706603906271051[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]33.109040147766[/C][C]0.665300934191963[/C][/ROW]
[ROW][C]Rectangular[/C][C]33.2285332787558[/C][C]0.680276301878601[/C][/ROW]
[ROW][C]Triangular[/C][C]33.0492935822711[/C][C]0.698366190636812[/C][/ROW]
[ROW][C]Biweight[/C][C]33.0851415215681[/C][C]0.672569469910681[/C][/ROW]
[ROW][C]Cosine[/C][C]33.0731922084691[/C][C]0.676829507737597[/C][/ROW]
[ROW][C]Optcosine[/C][C]33.1030654912165[/C][C]0.667421508877313[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=173499&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=173499&T=7

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Maximum Density Values
Kernelx-valuemax. density
Gaussian33.04331892572160.706603906271051
Epanechnikov33.1090401477660.665300934191963
Rectangular33.22853327875580.680276301878601
Triangular33.04929358227110.698366190636812
Biweight33.08514152156810.672569469910681
Cosine33.07319220846910.676829507737597
Optcosine33.10306549121650.667421508877313



Parameters (Session):
par1 = 0 ; par2 = no ; par3 = 512 ;
Parameters (R input):
par1 = 0 ; par2 = no ; par3 = 512 ;
R code (references can be found in the software module):
if (par1 == '0') bw <- 'nrd0'
if (par1 != '0') bw <- as.numeric(par1)
par3 <- as.numeric(par3)
mydensity <- array(NA, dim=c(par3,8))
bitmap(file='density1.png')
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()
mydensity1
bitmap(file='density2.png')
mydensity2<-density(x,bw=bw,kernel='epanechnikov',na.rm=TRUE)
mydensity[,2] = signif(mydensity2$y,3)
plot(mydensity2,main='Epanechnikov Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density3.png')
mydensity3<-density(x,bw=bw,kernel='rectangular',na.rm=TRUE)
mydensity[,3] = signif(mydensity3$y,3)
plot(mydensity3,main='Rectangular Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density4.png')
mydensity4<-density(x,bw=bw,kernel='triangular',na.rm=TRUE)
mydensity[,4] = signif(mydensity4$y,3)
plot(mydensity4,main='Triangular Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density5.png')
mydensity5<-density(x,bw=bw,kernel='biweight',na.rm=TRUE)
mydensity[,5] = signif(mydensity5$y,3)
plot(mydensity5,main='Biweight Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density6.png')
mydensity6<-density(x,bw=bw,kernel='cosine',na.rm=TRUE)
mydensity[,6] = signif(mydensity6$y,3)
plot(mydensity6,main='Cosine Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density7.png')
mydensity7<-density(x,bw=bw,kernel='optcosine',na.rm=TRUE)
mydensity[,7] = signif(mydensity7$y,3)
plot(mydensity7,main='Optcosine Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
load(file='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='mytable.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='mytable2.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='mytable1.tab')
}