R version 2.8.0 (2008-10-20)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> par2 = '0.5'
> par1 = '500'
> n <- as.numeric(par1)
> p <- as.numeric(par2)
> heads=rbinom(n-1,1,p)
> a=2*(heads)-1
> b=diffinv(a,xi=0)
> c=1:n
> pheads=(diffinv(heads,xi=.5))/c
> postscript(file="/var/www/html/freestat/rcomp/tmp/1ar3t1228057302.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> op=par(mfrow=c(2,1))
> plot(c,b,type='n',main='Law of Averages',xlab='Toss Number',ylab='Excess of Heads',lwd=2,cex.lab=1.5,cex.main=2)
> lines(c,b,col='red')
> lines(c,rep(0,n),col='black')
> plot(c,pheads,type='n',xlab='Toss Number',ylab='Proportion of Heads',lwd=2,cex.lab=1.5)
> lines(c,pheads,col='blue')
> lines(c,rep(.5,n),col='black')
> par(op)
> dev.off()
null device 
          1 
> b
  [1]  0  1  0  1  2  3  2  1  2  1  0  1  0  1  2  1  2  3  4  5  6  7  8  9 10
 [26] 11 10  9 10  9 10  9 10 11 10 11 10  9  8  7  8  7  6  7  6  7  8  7  8  9
 [51] 10 11 12 13 14 15 16 17 16 15 16 15 16 15 14 13 14 13 14 13 12 13 12 13 12
 [76] 11 10  9 10  9 10 11 12 13 14 15 16 17 18 17 16 15 14 13 12 13 12 11 10 11
[101] 12 13 12 13 14 15 14 15 14 13 12 11 12 13 14 13 14 15 16 15 14 15 16 15 16
[126] 17 18 19 18 19 18 19 18 17 18 17 18 17 16 17 18 19 18 19 20 19 18 19 18 19
[151] 18 19 20 21 22 21 22 23 24 23 24 25 24 23 24 25 26 27 28 27 28 29 28 29 28
[176] 29 28 29 30 29 28 27 26 27 26 25 24 25 26 25 24 25 24 25 24 23 22 23 24 23
[201] 24 25 24 25 26 27 26 27 28 27 26 27 28 27 26 27 26 27 26 25 24 25 24 23 22
[226] 21 20 21 22 21 20 19 20 21 22 21 22 21 20 19 20 21 20 21 20 21 22 21 20 19
[251] 18 19 20 21 20 19 18 19 18 19 18 17 16 15 14 15 14 15 16 15 16 17 18 19 18
[276] 19 18 19 20 21 22 23 22 21 20 19 20 21 22 23 22 21 20 21 22 23 22 23 22 21
[301] 20 19 18 17 18 17 18 17 18 19 18 19 18 17 18 17 16 15 14 13 14 13 14 13 14
[326] 15 16 17 16 15 16 15 16 15 14 15 16 17 18 19 18 19 20 21 20 21 22 21 22 21
[351] 22 23 24 23 24 23 24 23 22 23 22 23 22 21 20 21 22 21 22 23 24 25 24 25 24
[376] 23 24 25 24 25 26 25 26 27 26 25 26 27 26 27 28 27 26 27 28 27 28 29 30 29
[401] 28 27 26 25 26 27 28 27 28 27 26 27 26 25 26 27 28 29 30 31 32 31 30 29 30
[426] 31 30 31 32 33 32 31 30 31 30 29 30 29 28 29 30 29 28 29 30 31 32 31 32 33
[451] 32 33 34 35 36 37 36 35 36 35 34 35 34 33 34 35 34 33 32 31 30 31 30 31 32
[476] 33 34 33 34 35 36 37 36 37 36 37 36 37 36 37 38 39 40 41 42 43 42 41 40 41
> x <- b
> postscript(file="/var/www/html/freestat/rcomp/tmp/2ycep1228057302.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> r <- spectrum(x,main='Raw Periodogram')
> dev.off()
null device 
          1 
> r
$freq
  [1] 0.002 0.004 0.006 0.008 0.010 0.012 0.014 0.016 0.018 0.020 0.022 0.024
 [13] 0.026 0.028 0.030 0.032 0.034 0.036 0.038 0.040 0.042 0.044 0.046 0.048
 [25] 0.050 0.052 0.054 0.056 0.058 0.060 0.062 0.064 0.066 0.068 0.070 0.072
 [37] 0.074 0.076 0.078 0.080 0.082 0.084 0.086 0.088 0.090 0.092 0.094 0.096
 [49] 0.098 0.100 0.102 0.104 0.106 0.108 0.110 0.112 0.114 0.116 0.118 0.120
 [61] 0.122 0.124 0.126 0.128 0.130 0.132 0.134 0.136 0.138 0.140 0.142 0.144
 [73] 0.146 0.148 0.150 0.152 0.154 0.156 0.158 0.160 0.162 0.164 0.166 0.168
 [85] 0.170 0.172 0.174 0.176 0.178 0.180 0.182 0.184 0.186 0.188 0.190 0.192
 [97] 0.194 0.196 0.198 0.200 0.202 0.204 0.206 0.208 0.210 0.212 0.214 0.216
[109] 0.218 0.220 0.222 0.224 0.226 0.228 0.230 0.232 0.234 0.236 0.238 0.240
[121] 0.242 0.244 0.246 0.248 0.250 0.252 0.254 0.256 0.258 0.260 0.262 0.264
[133] 0.266 0.268 0.270 0.272 0.274 0.276 0.278 0.280 0.282 0.284 0.286 0.288
[145] 0.290 0.292 0.294 0.296 0.298 0.300 0.302 0.304 0.306 0.308 0.310 0.312
[157] 0.314 0.316 0.318 0.320 0.322 0.324 0.326 0.328 0.330 0.332 0.334 0.336
[169] 0.338 0.340 0.342 0.344 0.346 0.348 0.350 0.352 0.354 0.356 0.358 0.360
[181] 0.362 0.364 0.366 0.368 0.370 0.372 0.374 0.376 0.378 0.380 0.382 0.384
[193] 0.386 0.388 0.390 0.392 0.394 0.396 0.398 0.400 0.402 0.404 0.406 0.408
[205] 0.410 0.412 0.414 0.416 0.418 0.420 0.422 0.424 0.426 0.428 0.430 0.432
[217] 0.434 0.436 0.438 0.440 0.442 0.444 0.446 0.448 0.450 0.452 0.454 0.456
[229] 0.458 0.460 0.462 0.464 0.466 0.468 0.470 0.472 0.474 0.476 0.478 0.480
[241] 0.482 0.484 0.486 0.488 0.490 0.492 0.494 0.496 0.498 0.500

$spec
  [1] 1.696473e+03 2.266427e+03 1.130075e+02 1.503193e+02 2.211735e+02
  [6] 4.111732e+01 7.484947e+01 5.285630e+01 1.211947e+02 4.587931e+00
 [11] 3.736497e+01 7.221433e+01 3.692868e+01 1.551888e+02 5.189059e+01
 [16] 4.404033e+01 4.256588e+00 2.755565e+01 4.208922e+01 2.816233e+01
 [21] 3.328837e+00 2.316467e+00 3.882531e+00 9.849113e+00 5.700477e+00
 [26] 4.405636e+00 1.627780e+01 1.484309e+00 2.350993e+01 7.823856e+00
 [31] 5.026157e+00 3.397232e+00 1.806602e+01 3.643204e+00 5.046250e+00
 [36] 8.962569e+00 1.970434e+00 7.692573e+00 1.481263e+00 5.260961e+00
 [41] 4.261848e-01 2.915530e+00 8.585114e+00 2.752846e+00 1.398828e-01
 [46] 1.737390e+00 6.658638e-01 1.610133e+00 1.379773e+00 2.979273e+00
 [51] 4.192101e+00 1.868932e+00 1.572097e+00 5.242750e+00 8.306791e+00
 [56] 7.224741e-02 1.231834e+00 9.469932e-01 2.906185e+00 1.109354e+00
 [61] 1.479306e-01 3.565823e-01 5.339114e-01 7.368772e-01 2.024005e+00
 [66] 3.353643e-01 1.173580e+00 1.617211e+00 1.470188e+00 6.528405e-01
 [71] 9.177855e-03 1.152681e+00 1.570095e+00 1.394664e-01 3.206457e+00
 [76] 8.676523e-01 6.769186e-02 1.469557e+00 2.378996e-01 2.757893e-01
 [81] 1.050383e+00 2.054348e+00 2.386934e-01 1.421511e-01 9.621712e-01
 [86] 5.715175e-01 2.457922e+00 3.310104e-01 7.082727e-01 1.033980e+00
 [91] 1.474146e+00 1.477778e-01 3.539190e-01 4.714672e-01 1.189076e+00
 [96] 4.809215e-01 1.131533e+00 2.914521e-01 1.233997e+00 1.373358e-01
[101] 2.132907e+00 6.021602e-01 3.617051e-01 7.229369e-01 1.867273e-01
[106] 9.237222e-02 3.118869e-01 3.173672e-01 5.340810e-01 5.940365e-02
[111] 5.895243e-01 6.021884e-01 1.755373e+00 1.111033e+00 5.519295e-01
[116] 1.427782e+00 3.538734e-01 8.061747e-01 5.048229e-01 6.215136e-01
[121] 9.646668e-02 2.858455e-01 3.678592e-01 1.985117e-01 1.081328e+00
[126] 1.999453e-01 4.852051e-01 2.379043e-01 2.290657e-01 2.396475e-01
[131] 4.489621e-02 1.065205e-01 1.850617e-02 7.730094e-01 4.759455e-02
[136] 4.739024e-02 9.016301e-02 5.126839e-01 4.834655e-01 1.517154e+00
[141] 3.400575e-01 9.699625e-01 2.593162e-01 2.349343e-01 8.352042e-01
[146] 1.176286e+00 1.019007e-01 9.845258e-01 7.511074e-01 5.695086e-01
[151] 7.984773e-01 8.417733e-02 2.449123e-01 1.401921e-01 2.958170e-01
[156] 7.978842e-02 1.867305e-01 6.098052e-01 5.471998e-01 1.378490e+00
[161] 6.722010e-01 7.814142e-02 2.254873e-01 1.357260e-01 1.329541e-01
[166] 9.047984e-02 4.730554e-01 1.150352e-01 1.501111e-01 6.153824e-02
[171] 3.734685e-01 2.528364e-01 1.483255e-02 1.466084e-01 3.079964e-01
[176] 2.230162e-01 2.557122e-01 2.322832e-01 9.598717e-02 9.291298e-02
[181] 3.461690e-01 2.120773e-02 5.154906e-01 2.403491e-01 1.142533e+00
[186] 6.471918e-03 1.890724e-01 1.978981e-02 4.801089e-02 5.634382e-01
[191] 8.828001e-01 3.178831e-01 1.646946e-01 4.749532e-01 1.774291e-01
[196] 3.574293e-01 5.298032e-01 1.209866e-01 9.496692e-03 5.290100e-01
[201] 1.939581e-01 7.553712e-01 5.033125e-01 2.061062e-01 7.312359e-01
[206] 3.930905e-01 4.498508e-01 4.287684e-02 6.202309e-01 4.509866e-02
[211] 4.044091e-02 5.077729e-01 3.129725e-02 7.670001e-02 4.044335e-01
[216] 7.135659e-02 4.722381e-01 3.446293e-02 3.293682e-01 5.897080e-01
[221] 5.994785e-01 2.565756e-01 3.262931e-01 2.841775e-01 2.832095e-02
[226] 1.116972e-01 2.949726e-01 7.023171e-02 9.598554e-01 1.698053e-01
[231] 2.055748e-01 1.411549e-02 3.720710e-01 1.446694e-02 5.464537e-02
[236] 1.841668e-01 4.393789e-01 5.000262e-01 5.302122e-02 8.584696e-02
[241] 2.745273e-01 3.573001e-03 1.293129e-02 5.462494e-01 2.099489e-01
[246] 7.629863e-02 5.312619e-02 4.307701e-01 3.599536e-01 2.303673e-01

$coh
NULL

$phase
NULL

$kernel
NULL

$df
[1] 1.791590

$bandwidth
[1] 0.0005773503

$n.used
[1] 500

$orig.n
[1] 500

$series
[1] "x"

$snames
NULL

$method
[1] "Raw Periodogram"

$taper
[1] 0.1

$pad
[1] 0

$detrend
[1] TRUE

$demean
[1] FALSE

attr(,"class")
[1] "spec"
> postscript(file="/var/www/html/freestat/rcomp/tmp/343r31228057302.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> cpgram(x,main='Cumulative Periodogram')
> dev.off()
null device 
          1 
> 
> system("convert tmp/1ar3t1228057302.ps tmp/1ar3t1228057302.png")
> system("convert tmp/2ycep1228057302.ps tmp/2ycep1228057302.png")
> system("convert tmp/343r31228057302.ps tmp/343r31228057302.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.067   0.747   1.196