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Type 'q()' to quit R. > 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/19ql91228240977.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 4 5 6 7 8 7 6 7 8 7 8 7 6 7 8 7 6 7 6 [26] 5 6 5 4 3 4 5 6 7 6 5 4 3 2 1 0 1 2 1 2 3 2 3 4 5 [51] 6 5 6 7 8 9 10 11 10 9 10 9 10 9 8 9 10 11 10 11 10 11 12 13 14 [76] 15 14 15 14 13 12 11 10 11 12 11 12 11 12 11 10 9 8 7 8 9 10 11 10 11 [101] 12 13 12 11 12 13 14 13 14 15 14 13 12 13 12 13 14 15 14 13 12 13 14 15 16 [126] 17 18 17 16 15 16 17 18 17 18 17 18 17 18 17 18 17 18 19 20 21 20 19 18 19 [151] 20 21 22 21 20 21 22 21 20 19 18 19 20 21 22 23 22 23 22 21 20 21 20 21 22 [176] 23 24 25 24 23 22 23 24 25 26 27 26 25 26 27 26 27 28 29 28 27 26 27 26 27 [201] 26 25 24 23 24 25 26 27 26 27 26 27 28 29 30 29 28 29 30 29 28 29 28 29 28 [226] 27 28 27 28 29 28 27 26 25 26 27 28 27 26 25 26 25 24 23 24 25 24 23 22 21 [251] 22 23 24 25 24 25 26 27 28 29 28 29 28 29 30 31 32 33 32 31 30 31 30 31 32 [276] 31 32 31 30 29 30 29 30 29 28 27 26 25 26 25 26 25 26 25 26 25 24 25 24 25 [301] 24 23 22 23 24 23 22 21 22 21 20 19 20 21 22 23 22 21 22 23 24 25 26 27 28 [326] 29 30 29 30 29 30 29 28 29 30 31 30 31 30 31 30 29 28 29 28 27 26 25 24 23 [351] 22 21 20 19 20 21 20 21 20 21 22 23 24 25 26 25 26 25 24 23 22 23 22 23 24 [376] 23 22 21 20 19 20 21 22 21 20 21 22 21 22 21 20 19 20 19 18 19 20 21 20 21 [401] 22 23 22 23 22 23 22 21 20 21 20 19 18 17 16 15 16 17 18 17 16 17 18 19 18 [426] 19 20 19 18 17 18 19 20 21 20 21 22 21 22 21 20 19 20 21 20 19 20 19 18 19 [451] 20 19 18 19 18 19 20 19 20 21 20 19 18 19 20 21 22 23 24 25 26 25 24 25 26 [476] 25 26 27 28 27 28 27 28 29 28 27 26 25 26 25 26 27 26 25 24 23 22 23 24 25 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/2h0d61228240977.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] 5.870845e+03 5.533310e+02 4.378367e+02 2.057871e+02 1.277553e+02 [6] 1.019363e+02 2.732552e+02 2.230351e+02 1.169730e+02 1.847751e+02 [11] 2.470443e+01 4.534843e+01 4.713850e+01 1.212377e+02 6.124245e+01 [16] 2.403931e+01 2.341375e+00 1.411404e+01 2.559779e+01 2.955134e+00 [21] 1.869650e+01 6.839270e+00 3.844082e+01 2.446387e+01 2.415260e+00 [26] 1.356473e+01 8.865680e+00 1.010629e-01 4.108412e+00 2.067455e+00 [31] 6.139844e+00 1.743210e+00 3.292757e+00 9.893089e-01 2.885542e-01 [36] 2.279828e+00 1.862554e+00 7.681237e+00 2.321361e+00 1.019397e+00 [41] 4.103704e+00 3.951302e+00 3.692072e+00 7.130559e-01 5.588046e+00 [46] 8.065461e+00 2.588970e+00 1.587652e+00 5.486477e-01 2.106172e+01 [51] 4.305188e+00 1.754614e+00 3.588275e+00 2.324173e+00 6.495485e-01 [56] 2.044631e+00 4.072359e-01 2.294860e+00 1.023482e+00 6.891070e+00 [61] 1.299139e+00 2.374962e-01 1.586698e+00 1.228641e+00 2.501017e+00 [66] 1.061376e+01 3.893093e+00 6.367729e-01 1.325582e+00 4.665772e-01 [71] 4.455993e-01 1.132466e+00 5.111543e+00 1.525493e+00 6.400951e-01 [76] 7.557283e-02 6.453243e-01 1.489835e+00 6.306312e-01 1.753727e+00 [81] 1.089927e-01 7.857992e-01 2.424097e+00 8.532330e-01 7.321252e-02 [86] 1.883173e+00 5.918209e-01 6.946287e-01 3.527920e+00 8.579187e-01 [91] 2.501586e-01 1.854988e-01 8.414560e-01 6.358940e-01 7.006681e-01 [96] 4.796415e+00 4.320699e-01 1.620664e+00 2.693727e-01 1.365415e-01 [101] 4.438705e-01 1.565946e-01 1.281157e+00 2.753747e-01 1.388176e-01 [106] 6.641797e-03 3.876739e-01 1.995070e-01 6.595878e-01 9.694592e-01 [111] 1.780060e-01 2.435762e-01 5.627517e-01 4.144413e-01 1.529998e+00 [116] 2.258939e-01 4.105126e-01 2.317222e+00 1.152470e-02 1.431539e+00 [121] 2.276929e-01 4.762902e-01 1.645604e-01 1.432523e-01 4.100814e-01 [126] 9.126116e-01 3.028785e-02 4.619262e-01 9.646934e-02 2.226861e-01 [131] 4.090470e-01 1.521231e-01 1.135048e-01 2.764326e-01 6.614656e-01 [136] 4.204204e-01 1.794390e-01 7.583220e-01 1.620378e-01 3.938991e-01 [141] 4.659017e-01 5.726510e-01 8.761001e-02 2.666805e-02 4.003126e-01 [146] 2.687483e-01 2.901311e-01 4.975812e-01 3.270691e-01 1.398978e-01 [151] 5.472730e-01 1.240285e-01 1.295433e-01 4.040747e-02 3.632856e-02 [156] 1.938168e-01 8.145590e-02 1.283645e-02 3.082095e-02 8.105109e-02 [161] 9.204901e-02 3.648106e-01 4.927578e-01 2.520778e-01 2.186469e-01 [166] 4.118271e-01 5.613589e-03 8.879314e-01 1.436177e-01 9.619468e-01 [171] 1.695664e-01 4.778165e-01 4.568723e-01 9.817000e-02 2.646150e-01 [176] 5.831286e-02 1.192245e-01 6.144284e-02 3.896253e-01 8.053687e-02 [181] 9.476808e-02 1.736372e-01 1.139413e-01 9.877339e-02 4.149412e-01 [186] 3.773394e-01 2.215391e-01 4.053452e-03 2.527623e-01 1.240383e-01 [191] 2.937695e-03 1.608759e-01 6.772225e-02 4.694071e-01 4.453934e-02 [196] 1.111002e-01 1.195007e-01 1.746701e-01 1.153152e-01 9.269394e-02 [201] 3.656583e-01 2.311379e-01 3.305515e-01 2.480751e-01 4.305917e-01 [206] 3.396766e-02 4.001008e-01 3.441587e-03 2.650028e-01 1.141644e+00 [211] 3.865780e-01 4.086312e-02 2.062108e-01 5.708149e-02 1.684759e-01 [216] 1.061509e-01 2.639006e-01 1.494480e-01 3.092487e-01 1.225127e-01 [221] 4.276474e-01 7.469691e-02 4.681768e-01 2.008127e-01 1.900606e-01 [226] 1.980079e-01 4.492041e-01 1.612875e-03 3.578271e-01 5.500437e-01 [231] 1.378657e-01 3.185560e-01 1.110004e-01 6.631094e-02 2.476293e-01 [236] 3.201063e-01 7.356621e-01 3.907940e-02 7.227027e-01 1.254820e+00 [241] 3.923478e-02 4.676721e-02 4.458955e-01 6.084183e-01 7.822986e-02 [246] 1.659466e-01 4.685328e-01 2.356466e-01 3.725892e-02 5.230335e-02 $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/3qlxr1228240977.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/19ql91228240977.ps tmp/19ql91228240977.png") > system("convert tmp/2h0d61228240977.ps tmp/2h0d61228240977.png") > system("convert tmp/3qlxr1228240977.ps tmp/3qlxr1228240977.png") > > > proc.time() user system elapsed 1.183 0.849 1.288