Free Statistics

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Author's title

Author*Unverified author*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationSat, 17 Nov 2018 16:39:27 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2018/Nov/17/t154246922339318yovkwe3kan.htm/, Retrieved Sat, 04 May 2024 17:57:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=315663, Retrieved Sat, 04 May 2024 17:57:18 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
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Estimated Impact112
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kernel Density Estimation] [] [2018-11-17 15:39:27] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
25.661
44.446
105.654
211.308
324.974
520.378
547.977
627.756
627.756
1.007.024
1.010.077
1.118.476
1.133.023
1.305.408
1.399.874
1.446.168
1.451.997
1.481.262
1.481.262
1.559.605
1.678.099
1.728.474
2.099.811
2.102.121
2.248.033
2.388.535
2.388.535
2.695.103
2.737.576
2.756.002
2.756.002
2.756.002
2.756.002
2.756.002
2.756.002
2.756.002
2.756.002
2.756.002
2.756.002
2.763.975
2.789.008
2.798.163
2.799.748
2.807.039
2.825.149
2.857.669
2.866.242
2.895.194
2.895.194
2.920.081
2.920.081
2.943.358
3.035.096
3.051.034
3.122.268
3.122.268
3.155.134
3.221.889
3.387.993
3.461.645
3.461.645
3.499.685
3.642.875
3.899.649
3.899.649
3.902.835
3.934.781
3.961.299
4.014.669
4.069.356
4.088.263
4.103.005
4.153.974
4.170.458
4.244.108
4.322.111
4.324.072
4.336.631
4.432.333
4.472.912
4.683.402
4.744.452
4.899.559
4.899.559
4.899.559
4.899.559
4.899.559
4.899.559
4.899.559
4.899.559
4.899.559
4.899.559
4.899.559
4.899.559
4.899.559
4.899.559
4.962.845
5.007.411
5.144.537
5.599.636
5.607.929
5.649.159
5.729.114
5.790.388
5.790.388
5.790.388
5.790.388
5.790.388
5.974.083
6.026.848
6.244.536
6.244.536
6.250.372
6.255.687
6.486.178
6.511.874
6.522.538
6.548.653
6.587.087
6.613.622
6.616.024
6.654.625
6.708.226
6.720.986
6.804.311
6.848.846
6.848.846
6.877.016
7.091.467
7.123.701
7.296.718
7.380.746
7.469.477
7.655.561
7.655.561
7.655.561
7.655.561
7.655.561
7.655.561
7.655.561
7.655.561
7.655.561
7.655.561
7.655.561
7.655.561
7.655.561
7.873.905
8.593.671
8.772.984
8.846.426
9.033.562
9.330.215
9.366.804
9.392.703
9.477.341
10.047.012
10.105.341
10.105.341
10.128.064
10.148.103
10.158.575
10.183.676
10.191.083
10.261.854
10.294.023
10.311.001
10.313.191
10.393.004
10.411.563
10.411.563
10.411.563
10.419.404
10.464.058
10.557.061
10.615.711
10.686.958
10.734.989
10.770.968
10.781.212
10.795.639
10.795.639
10.841.577
10.899.088
10.919.017
10.924.692
10.942.349
10.972.971
10.978.937
11.005.995
11.008.886
11.024.008
11.091.042
11.154.189
11.207.202
11.306.675
11.342.815
11.362.041
11.373.976
11.450.655
11.452.719
11.636.453
11.636.453
11.708.505
11.777.786
11.853.772
11.857.975
11.905.471
11.921.387
11.927.765
11.942.675
11.961.365
11.980.796
12.095.786
12.132.241
12.132.241
12.156.506
12.176.845
12.208.649
12.237.383
12.248.898
12.248.898
12.248.898
12.248.898
12.283.894
12.312.036
12.395.986
12.489.072
12.535.891
12.552.361
12.669.746
12.786.804
12.861.342
12.861.342
12.948.835
13.087.863
13.178.124
13.339.114
13.456.535
13.504.085
13.551.972
13.965.455
14.091.652
14.102.052
14.649.096
14.698.677
14.764.709
14.868.391
14.928.344
15.127.389
15.311.122
15.311.122
15.311.122
15.329.547
15.519.415
15.589.506
15.696.087
15.824.663
15.923.567
15.923.567
15.923.567
15.923.567
15.976.823
16.003.585
16.193.458
16.211.776
16.331.863
16.331.863
16.379.756
16.472.655
16.529.654
16.543.966
16.761.649
16.939.965
16.971.827
17.076.211
17.085.372
17.095.431
17.122.115
17.249.894
17.292.561
17.402.805
17.498.425
17.498.425
17.646.227
17.777.507
17.975.805
18.063.296
18.094.962
18.115.548
18.219.184
18.355.697
18.366.282
18.387.491
18.423.962
18.439.201
18.515.775
18.587.821
18.624.055
18.761.645
18.872.376
19.035.068
19.183.215
19.200.975
19.231.361
19.301.293
19.598.236
19.610.304
19.658.159
19.780.828
19.798.396
19.819.298
19.833.624
19.904.459
19.904.459
19.954.344
20.220.402
20.489.723
20.940.581
21.231.423
21.231.423
21.373.915
21.435.571
21.435.571
21.435.571
21.435.571
21.435.571
21.435.571
21.435.571
21.482.046
21.615.702
21.638.797
21.710.424
21.755.158
21.963.541
22.116.065
22.116.065
22.292.994
22.427.559
22.442.611
22.456.312
22.568.835
22.579.449
22.707.006
22.747.953
22.747.953
22.747.953
22.798.843
22.845.864
22.966.683
23.109.031
23.161.552
23.189.661
23.221.868
23.246.083
23.272.905
23.302.781
23.306.841
23.331.234
23.530.366
23.653.044
23.700.193
23.707.544
23.810.941
23.828.757
23.873.414
23.891.985
23.945.213
24.035.573
24.115.017
24.126.616
24.146.942
24.181.575
24.250.048
24.417.299
24.497.795
24.497.795
24.497.795
24.497.795
24.497.795
24.497.795
24.497.795
24.497.795
24.497.795
24.497.795
24.560.772
24.566.933
24.581.836
24.804.018
24.811.139
24.880.573
25.022.748
25.077.993
25.150.747
25.168.968
25.186.661
25.225.452
25.297.811
25.332.947
25.477.707
25.477.707
25.477.707
25.477.707
25.605.736
25.624.131
25.641.815
25.683.172
25.735.058
25.787.153
25.830.213
25.971.548
26.028.907
26.154.651
26.211.633
26.265.677
26.429.157
26.444.832
26.476.239
26.539.278
26.580.811
26.589.637
26.628.038
26.650.321
26.710.499
26.832.904
27.014.275
27.052.942
27.173.322
27.186.578
27.186.578
27.322.229
27.408.197
27.513.722
27.522.214
27.613.122
27.746.777
27.773.663
27.793.862
27.811.709
28.034.449
28.100.412
28.172.464
28.201.186
28.221.056
28.266.687
28.351.911
28.365.868
28.466.712
28.626.637
28.640.234
28.705.479
28.708.354
28.784.909
28.810.907
28.847.041
28.919.077
28.999.441
29.010.547
29.013.279
29.034.424
29.091.132
29.098.904
29.125.701
29.155.827
29.193.206
29.217.554
29.236.713
29.239.909
29.292.203
29.430.717
29.488.087
29.488.087
29.711.612
29.785.089
29.785.089
29.856.688
29.856.688
29.856.688
29.890.655
29.903.412
29.973.773
29.985.153
30.009.799
30.115.493
30.170.969
30.219.908
30.293.615
30.330.604
30.330.604
30.421.143
30.504.292
30.534.165
30.547.251
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.622.244
30.696.033
30.862.171
30.896.473
30.944.583
31.070.374
31.070.374
31.131.118
31.154.805
31.154.805
31.161.579
31.376.486
31.428.093
31.429.922
31.450.896
31.453.959
31.483.858
31.531.816
31.546.689
31.563.066
31.649.325
31.743.397
31.756.401
31.790.365
31.847.134
31.847.134
31.847.134
31.847.134
31.847.134
31.867.051
31.890.621
32.148.526
32.153.356
32.153.356
32.168.822
32.235.513
32.250.262
32.344.745
32.386.916
32.449.772
32.459.579
32.563.531
32.570.932
32.587.765
32.663.727
32.678.962
32.685.216
32.729.405
32.764.541
32.832.097
32.842.357
32.899.932
32.920.013
32.938.447
33.093.662
33.291.528
33.347.784
33.401.218
33.458.078
33.463.257
33.523.299
33.523.299
33.602.488
33.616.419
33.665.046
33.684.468
33.684.468
33.684.468
33.684.468
33.684.468
33.684.468
33.684.468
33.684.468
33.684.468
33.684.468
33.684.468
33.684.468
33.684.468
33.760.212
33.760.212
33.777.263
33.868.202
33.924.121
34.011.502
34.066.626
34.198.264
34.253.854
34.450.024
34.501.062
34.507.052
34.634.553
34.674.434
34.805.611
35.092.098
35.107.077
35.125.515
35.240.681
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35.276.825
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35.746.783
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36.053.359
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36.746.693
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36.746.693
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36.746.693
36.746.693
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36.746.693
36.746.693
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36.938.917
36.945.631
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37.705.169
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37.913.254
37.913.254
37.945.521
37.969.757
38.107.681
38.176.375
38.186.012
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38.277.805
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38.496.535
38.572.003
38.602.586
38.743.472
38.770.424
38.901.222
38.947.577
38.956.739
38.964.682
39.156.312
39.196.472
39.196.472
39.196.472
39.282.808
39.317.449
39.352.151
39.439.175
39.439.175
39.472.504
39.479.918
39.502.695
39.546.441
39.602.653
39.705.517
39.709.094
39.808.917
39.808.917
39.808.917
39.808.917
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39.808.917
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39.808.917
39.808.917
39.808.917
39.808.917
39.808.917
39.844.493
39.851.788
40.059.288
40.087.301
40.143.446
40.185.658
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40.227.958
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40.420.289
40.429.137
40.589.484
40.621.344
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40.783.344
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40.904.575
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41.449.632
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41.588.422
41.646.252
41.739.363
41.845.131
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42.062.252
42.099.461
42.111.912
42.194.336
42.418.194
42.462.845
42.685.164
42.704.851
42.747.831
42.788.855
42.819.676
42.843.678
42.862.899
42.871.142
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42.871.142
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42.874.353
43.036.667
43.036.667
43.051.585
43.126.327
43.162.053
43.378.616
43.456.128
43.526.834
43.551.636
43.595.188
43.711.752
43.813.552
43.823.577
43.826.331
43.826.331
43.854.116
43.871.052
43.883.846
43.967.511
44.053.672
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44.897.275
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45.001.385
45.066.699
45.083.711
45.127.517
45.173.239
45.267.665
45.495.905
45.495.905
45.495.905
45.495.905
45.495.905
45.495.905
45.495.905
45.593.459
45.930.644
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
45.933.366
46.083.708
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46.436.087
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46.793.541
46.855.553
46.932.618
47.035.767
47.046.902
47.120.759
47.127.233
47.230.919
47.245.748
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47.356.333
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47.426.856
47.464.478
47.464.478
47.574.718
47.634.602
47.651.572
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47.770.701
47.770.701
47.770.701
47.890.427
47.938.485
48.085.103
48.107.453
48.131.688
48.144.292
48.172.135
48.211.491
48.285.041
48.344.795
48.386.529
48.407.643
48.459.422
48.593.243
48.621.578
48.745.613
48.859.416
48.932.856
49.146.811
49.307.147
49.358.765
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49.487.291
49.608.035
49.631.897
49.740.959
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49.761.146
49.806.364
49.852.788
49.914.258
49.927.017
50.103.652
50.179.307
50.246.058
50.417.626
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50.526.703
50.551.006
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50.924.076
51.037.073
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51.075.592
51.087.252
51.110.294
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51.196.338
51.205.753
51.242.371
51.297.397
51.328.714
51.366.345
51.366.345
51.366.345
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51.574.306
51.644.001
51.681.752
51.717.568
51.751.592
51.753.277
51.783.957
51.844.171
51.848.809
51.924.675
52.002.695
52.025.656
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52.057.815
52.057.815
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52.086.434
52.182.493
52.370.842
52.406.676
52.454.103
52.477.254
52.495.275
52.531.355
52.588.759
52.608.835
52.764.482
52.768.155
52.789.037
52.942.805
52.980.985
53.078.556
53.106.216
53.109.506
53.282.705
53.391.207
53.524.595
53.588.927
53.588.927
53.588.927
53.588.927
53.609.063
53.674.945
53.725.249
53.737.099
53.744.944
53.750.437
53.895.149
53.895.149
53.895.149
53.973.275
53.978.193
53.978.193
54.082.564
54.268.658
54.284.887
54.346.645
54.439.545
54.478.927
54.507.594
54.595.086
54.712.763
54.836.124
55.028.172
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55.120.039
55.160.598
55.201.699
55.271.885
55.290.163
55.363.283
55.455.208
55.640.969
55.732.484
55.732.484
55.732.484
55.872.164
55.885.595
55.941.505
55.953.969
56.051.868
56.061.305
56.140.781
56.311.238
56.395.966
56.395.966
56.466.549
56.533.374
56.600.356
56.617.127
56.651.151
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56.712.396
56.816.483
56.869.882
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56.969.623
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57.039.643
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57.124.904
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57.413.645
57.511.754
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58.268.055
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59.713.376
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60.155.697
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60.251.334
60.306.275
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60.938.266
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61.024.448
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61.056.621
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61.351.746
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68.331.015
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Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315663&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=315663&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315663&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center



Parameters (Session):
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')
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(ab,file='mytable123.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(b,file='mytable2a.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='mytable1.tab')