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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/198vs1228078748.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 0 -1 0 1 0 1 2 1 2 1 0 1 0 1 [19] 2 3 4 5 6 7 6 7 8 9 10 9 8 7 6 7 6 7 [37] 6 7 6 5 6 5 6 7 8 7 6 5 4 5 6 7 6 5 [55] 4 5 6 5 6 5 4 3 4 5 6 5 4 5 4 5 6 5 [73] 6 7 8 7 8 7 8 9 10 11 12 11 12 11 12 11 10 9 [91] 10 11 12 11 10 11 10 11 10 11 12 13 12 11 12 11 10 11 [109] 10 9 8 7 6 5 4 5 4 3 4 3 2 1 2 1 2 3 [127] 2 1 0 -1 -2 -1 0 -1 -2 -3 -4 -5 -4 -3 -4 -3 -4 -3 [145] -2 -3 -4 -5 -4 -3 -2 -1 0 -1 -2 -3 -2 -3 -4 -3 -4 -3 [163] -4 -3 -2 -1 0 1 2 1 2 3 2 3 2 1 0 -1 0 -1 [181] 0 1 2 3 2 3 2 3 2 1 0 -1 -2 -3 -2 -1 -2 -1 [199] 0 1 2 1 2 1 2 1 0 -1 -2 -1 -2 -3 -2 -3 -4 -3 [217] -4 -5 -6 -5 -6 -7 -8 -9 -10 -11 -12 -13 -12 -11 -10 -11 -10 -9 [235] -10 -11 -10 -11 -10 -9 -10 -9 -8 -9 -10 -9 -8 -7 -6 -7 -6 -7 [253] -6 -5 -6 -5 -6 -7 -6 -5 -4 -5 -6 -7 -6 -5 -4 -5 -4 -3 [271] -2 -1 -2 -3 -2 -3 -4 -5 -4 -3 -2 -1 -2 -1 0 1 2 1 [289] 2 3 2 1 0 1 2 3 2 3 4 3 4 5 4 5 6 7 [307] 8 7 6 5 4 3 2 1 0 1 2 1 0 -1 0 -1 0 1 [325] 0 -1 -2 -1 0 1 2 1 0 1 0 -1 0 1 0 1 2 1 [343] 2 1 2 1 0 -1 -2 -1 -2 -3 -4 -3 -2 -1 -2 -3 -4 -3 [361] -4 -3 -2 -1 -2 -1 0 1 2 1 0 1 0 -1 -2 -3 -4 -5 [379] -6 -7 -8 -9 -8 -9 -8 -9 -10 -11 -10 -11 -12 -13 -14 -13 -12 -13 [397] -12 -13 -12 -11 -12 -13 -12 -11 -10 -11 -12 -13 -14 -15 -14 -15 -14 -13 [415] -14 -15 -16 -15 -14 -15 -14 -13 -14 -13 -12 -11 -12 -11 -10 -11 -10 -11 [433] -12 -13 -12 -11 -12 -13 -14 -15 -14 -13 -14 -13 -12 -13 -12 -13 -14 -13 [451] -12 -11 -12 -13 -14 -13 -12 -11 -12 -13 -12 -13 -12 -13 -14 -15 -16 -15 [469] -14 -15 -16 -17 -18 -19 -18 -19 -20 -19 -20 -21 -22 -23 -22 -23 -22 -23 [487] -24 -25 -24 -23 -22 -23 -24 -23 -22 -23 -22 -21 -20 -21 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/2ndom1228078748.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] 4.323570e+02 2.400504e+03 3.514757e+02 6.525133e+02 5.580536e+02 [6] 5.824960e+02 7.863210e+01 2.180066e+01 7.432874e+01 4.030806e+01 [11] 3.968773e+00 7.362291e+01 1.932471e+01 6.092272e-02 4.382570e+01 [16] 8.540293e+01 2.055722e+01 7.531407e+00 1.018757e+01 1.856111e+01 [21] 2.501645e+00 5.442768e+00 8.279167e+00 9.509449e-01 3.462094e+01 [26] 1.359880e+00 1.490501e+00 3.714437e+00 2.577374e+01 2.364208e+01 [31] 1.041124e+01 7.717431e+00 6.473285e+00 3.152496e+00 1.404697e+01 [36] 5.664651e-01 1.519076e-01 4.392105e-01 5.549840e-01 3.512279e+00 [41] 1.762956e+00 5.581189e+00 1.454533e+00 1.287898e+00 1.710370e+00 [46] 1.124129e+00 1.342053e-01 1.134825e+00 2.866579e-01 1.927212e+00 [51] 4.467290e+00 3.939712e+00 9.677463e-01 7.680656e-01 9.927092e-01 [56] 2.588882e+00 1.010964e+00 2.659764e+00 7.180999e-01 9.876268e-02 [61] 1.176035e+01 3.457130e-02 1.844004e+00 9.213647e-02 1.443223e+00 [66] 2.822648e+00 5.284515e-01 1.659461e+00 4.445032e+00 8.392189e-01 [71] 3.967604e-01 9.071730e-01 7.654978e-01 5.580637e+00 4.240613e-01 [76] 7.721051e-02 6.725147e-02 1.049543e+00 4.915886e+00 1.087590e+00 [81] 9.079542e-01 2.500401e-01 8.690355e-02 1.720769e+00 4.148852e-01 [86] 2.659300e+00 9.223580e-01 3.949260e-01 3.456885e+00 1.444196e+00 [91] 1.754802e-01 2.165707e-01 4.505150e+00 6.496833e-01 1.196703e-01 [96] 1.367759e+00 1.923081e+00 2.311645e-01 3.391577e-01 1.433548e+00 [101] 1.046905e+00 2.665735e-01 3.133349e-01 2.449150e-02 1.565925e-01 [106] 1.447099e+00 6.253321e-01 5.195386e-01 2.023162e+00 7.470369e-02 [111] 3.482864e-03 1.125536e+00 8.891472e-02 5.055938e-01 2.944587e-01 [116] 1.202811e+00 1.131087e+00 1.906119e-04 3.905314e-01 9.450712e-02 [121] 1.505609e-02 7.415459e-02 1.996928e-01 2.733490e-01 1.850251e-01 [126] 1.866764e-01 1.658366e-01 1.697119e-01 2.580728e-02 4.881273e-01 [131] 2.091631e-02 1.950386e-01 6.424694e-02 7.579201e-01 3.406627e-01 [136] 2.207582e-02 5.531944e-01 4.288554e-01 2.754074e-01 3.689926e-02 [141] 3.295503e-02 8.157777e-01 1.545519e-01 1.894435e+00 3.258248e-01 [146] 2.467309e-01 2.340295e-01 3.594500e-01 1.134036e+00 2.364139e-02 [151] 2.003522e-01 1.558868e-01 5.568853e-01 1.901273e+00 2.093189e-01 [156] 3.288828e-02 4.044042e-02 8.361970e-02 4.069213e-01 2.544309e-01 [161] 1.106312e-01 2.583252e-01 1.065768e-01 4.351697e-02 5.448043e-01 [166] 1.900212e-01 9.370989e-02 2.861526e-01 8.216086e-01 4.797045e-01 [171] 4.581885e-01 6.160897e-03 2.399744e-01 4.237232e-01 3.923348e-01 [176] 2.307499e-01 1.307344e-01 1.243917e+00 2.237237e-01 1.750554e-02 [181] 8.677965e-01 3.233451e-01 5.397592e-02 2.480507e-01 1.811679e-01 [186] 2.593070e-01 6.621220e-03 2.448248e-01 4.644503e-02 4.195081e-01 [191] 9.964187e-02 4.171275e-01 6.678328e-02 2.192378e-02 5.139187e-01 [196] 3.049925e-01 1.243294e-01 1.321950e-01 6.259472e-02 1.058986e-01 [201] 2.038172e-01 1.150421e-01 7.006751e-02 1.452690e+00 1.589769e-01 [206] 3.332730e-01 1.395792e+00 6.117846e-01 3.387573e-01 5.768359e-02 [211] 2.849798e-01 2.080008e-01 3.795667e-01 1.536254e-01 2.899475e-01 [216] 5.143056e-01 1.380770e-01 1.013097e+00 5.740908e-01 6.802397e-03 [221] 2.078432e-03 3.059437e-02 2.009648e-01 1.003492e-01 2.479756e-01 [226] 1.060511e-02 1.315515e-01 1.255069e-01 4.830378e-01 3.731371e-02 [231] 1.356786e-01 1.837987e-01 5.502149e-01 7.556251e-02 1.484212e-01 [236] 1.395596e-01 4.907178e-01 1.881503e-02 1.038607e-01 9.328763e-02 [241] 2.481034e-02 5.316182e-01 7.364375e-02 4.643951e-01 6.610759e-02 [246] 7.133838e-04 4.365012e-01 4.979569e-03 1.487549e-02 1.699896e-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/39aae1228078748.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/198vs1228078748.ps tmp/198vs1228078748.png") > system("convert tmp/2ndom1228078748.ps tmp/2ndom1228078748.png") > system("convert tmp/39aae1228078748.ps tmp/39aae1228078748.png") > > > proc.time() user system elapsed 1.053 0.718 1.290