dev/generated/granger_examples.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Granger Causality Estimation\n",
    "\n",
    "\n",
    "### Acknowledgement\n",
    "This work was funded by the German Federal Ministry of Education and Research ([BMBF](https://www.bmbf.de/)) in the project ALICE III under grant ref. 01IS18049B.\n",
    "\n",
    "### Load packages"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using TimeSeriesCausality\n",
    "using Distributions: MvNormal\n",
    "using Plots: plot\n",
    "using Printf"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Data\n",
    "We will generate (simulate) 1e6 two-channel samples using a design (evolution) matrix A of order 3. where:\n",
    "- channel 1 is the causal (independent) time series\n",
    "- channel 2 is the effect (dependent) time series"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=2}",
      "image/png": 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       "  493.935,626.571 495.926,734.942 497.916,701.249 499.907,664.103 501.898,659.523 503.889,679.001 505.88,684.625 507.871,683.593 509.861,699.304 511.852,657.894 \n",
       "  513.843,754.249 515.834,796.745 517.825,661.928 519.816,650.153 521.806,684.324 523.797,642.739 525.788,701.939 527.779,671.969 529.77,663.631 531.761,611.619 \n",
       "  533.751,591.8 535.742,652.796 537.733,728.206 539.724,750.489 541.715,702.055 543.706,664.09 545.696,757.962 547.687,699.699 549.678,586.895 551.669,684.872 \n",
       "  553.66,705.368 555.651,583.58 557.641,700.987 559.632,710.64 561.623,612.396 563.614,598.136 565.605,712.978 567.596,742.72 569.586,634.754 571.577,604.908 \n",
       "  573.568,763.507 575.559,725.664 577.55,614.666 579.541,582.207 581.531,740.204 583.522,802.338 585.513,755.397 587.504,736.838 589.495,771.433 591.486,727.453 \n",
       "  593.476,678.868 595.467,749.16 597.458,721.487 599.449,727.499 601.44,751.326 603.431,723.285 605.421,656.932 607.412,643.765 609.403,610.543 611.394,680.191 \n",
       "  613.385,664.234 615.376,638.724 617.366,664.328 619.357,630.093 621.348,646.036 623.339,726.238 625.33,791.734 627.321,692.776 629.311,641.302 631.302,673.569 \n",
       "  633.293,663.313 635.284,674.169 637.275,765.507 639.266,790.166 641.256,787.529 643.247,759.411 645.238,712.839 647.229,637.086 649.22,652.435 651.211,689.754 \n",
       "  653.201,668.981 655.192,771.361 657.183,753.854 659.174,651.599 661.165,649.997 663.156,726.127 665.146,777.678 667.137,668.341 669.128,712.01 671.119,805.726 \n",
       "  673.11,795.414 675.101,734.166 677.091,680.191 679.082,630.487 681.073,667.724 683.064,756.808 685.055,738.31 687.046,753.499 689.036,774.803 691.027,726.309 \n",
       "  693.018,668.545 695.009,747.418 697,841.119 698.991,694.316 700.981,636.794 702.972,665.699 704.963,685.885 706.954,604.332 708.945,564.936 710.936,598.021 \n",
       "  712.926,646.509 714.917,600.774 716.908,641.318 718.899,801.895 720.89,691.381 722.881,552.364 724.871,598.619 726.862,690.837 728.853,690.062 730.844,538.602 \n",
       "  732.835,572.262 734.826,690.786 736.816,704.687 738.807,730.047 740.798,715.3 742.789,685.579 744.78,567.174 746.771,667.736 748.761,706.236 750.752,703.693 \n",
       "  752.743,693.367 754.734,739.499 756.725,761.051 758.716,711.793 760.706,740.301 762.697,746.984 764.688,749.979 766.679,734.585 768.67,704.977 770.661,620.569 \n",
       "  772.651,627.968 774.642,740.714 776.633,797.506 778.624,723.239 780.615,676.416 782.606,661.734 784.596,656.421 786.587,648.248 788.578,569.129 790.569,625.808 \n",
       "  792.56,700.193 794.551,607.832 796.541,534.165 798.532,551.951 800.523,668.85 802.514,762.056 804.505,741.924 806.496,687.391 808.486,672.486 810.477,682.558 \n",
       "  812.468,662.672 814.459,659.587 816.45,639.545 818.441,590.083 820.431,650.251 822.422,768.764 824.413,769.422 826.404,626.513 828.395,603.197 830.386,657.807 \n",
       "  832.376,659.375 834.367,716.278 836.358,747.115 838.349,695.275 840.34,722.9 842.331,726.572 844.321,662.538 846.312,703.242 848.303,703.199 850.294,612.949 \n",
       "  852.285,674.196 854.276,746.452 856.266,667.475 858.257,663.65 860.248,681.454 862.239,660.389 864.23,613.057 866.221,638.528 868.211,678.433 870.202,752.968 \n",
       "  872.193,676.837 874.184,653.326 876.175,727.621 878.166,733.078 880.156,750.153 882.147,640.984 884.138,619.115 886.129,700.183 888.12,666.726 890.111,671.141 \n",
       "  892.101,672.261 894.092,612.164 896.083,583.927 898.074,624.099 900.065,612.921 902.056,688.474 904.046,790.331 906.037,801.259 908.028,713.143 910.019,691.258 \n",
       "  912.01,804.159 914.001,882.522 915.991,760.563 917.982,631.363 919.973,740.961 921.964,823.854 923.955,799.271 925.946,702.91 927.936,663.548 929.927,744.914 \n",
       "  931.918,694.024 933.909,631.82 935.9,642.734 937.891,610.298 939.881,660.833 941.872,625.208 943.863,653.635 945.854,703.894 947.845,699.623 949.836,659.943 \n",
       "  951.826,792.734 953.817,767.175 955.808,667.119 957.799,698.532 959.79,684.556 961.781,656.77 963.771,750.713 965.762,756.419 967.753,677.821 969.744,654.417 \n",
       "  971.735,686.168 973.726,670.17 975.716,630.819 977.707,574.447 979.698,583.054 981.689,628.47 983.68,615.267 985.671,682.118 987.661,700.449 989.652,705.597 \n",
       "  991.643,694.79 993.634,655.662 995.625,687.635 997.616,673.859 999.606,669.055 1001.6,691.219 1003.59,750.096 1005.58,702.698 1007.57,622.461 1009.56,664.379 \n",
       "  1011.55,709.338 1013.54,624.387 1015.53,611.636 1017.52,626.83 1019.51,650.731 1021.51,662.735 1023.5,747.845 1025.49,732.229 1027.48,677.087 1029.47,746.397 \n",
       "  1031.46,759.111 1033.45,616.391 1035.44,595.19 1037.43,637.805 1039.42,707.884 1041.41,796.545 1043.4,792.921 1045.4,759.924 1047.39,750.919 1049.38,710.145 \n",
       "  1051.37,723.463 1053.36,658.616 1055.35,579.157 1057.34,594.58 1059.33,675.225 1061.32,728.366 1063.31,679.676 1065.3,607.323 1067.29,635.663 1069.29,689.533 \n",
       "  1071.28,624.651 1073.27,620.123 1075.26,746.399 1077.25,765.186 1079.24,733.029 1081.23,758.664 1083.22,778.231 1085.21,672.993 1087.2,604.663 1089.19,682.634 \n",
       "  1091.18,768.232 1093.18,669.29 1095.17,657.159 1097.16,618.952 1099.15,668.677 1101.14,666.086 1103.13,682.092 1105.12,660.858 1107.11,583.132 1109.1,656.743 \n",
       "  1111.09,681.66 1113.08,624.771 1115.07,650.233 1117.07,693.397 1119.06,717.189 1121.05,688.951 1123.04,614.342 1125.03,689.203 1127.02,756.107 1129.01,687.411 \n",
       "  1131,592.991 1132.99,603.142 1134.98,712.175 1136.97,702.656 1138.96,660.351 1140.96,645.812 1142.95,661.483 1144.94,694.095 1146.93,717.005 1148.92,696.813 \n",
       "  1150.91,685.652 1152.9,698.339 1154.89,781.028 1156.88,803.905 1158.87,648.178 1160.86,556.202 1162.85,681.622 1164.85,795.598 1166.84,756.976 1168.83,668.916 \n",
       "  1170.82,756.389 1172.81,801.582 1174.8,680.106 1176.79,609.658 1178.78,659.033 1180.77,705.901 1182.76,673.873 1184.75,689.066 1186.74,714.814 1188.74,703.579 \n",
       "  1190.73,637.807 1192.72,657.154 1194.71,651.491 1196.7,618.025 1198.69,614.985 1200.68,596.077 1202.67,579.288 1204.66,619.267 1206.65,660.271 1208.64,691.92 \n",
       "  1210.63,659.96 1212.63,625.376 1214.62,663.289 1216.61,646.447 1218.6,617.367 1220.59,577.84 1222.58,625.762 1224.57,698.82 1226.56,724.971 1228.55,745.644 \n",
       "  1230.54,679.733 1232.53,610.856 1234.52,646.414 1236.52,693.992 1238.51,719.532 1240.5,678.209 1242.49,622.604 1244.48,633.519 1246.47,739.606 1248.46,632.29 \n",
       "  1250.45,602.376 1252.44,719.312 1254.43,849.258 1256.42,770.506 1258.41,673.771 1260.41,698.003 1262.4,754.608 1264.39,737.892 1266.38,653.474 1268.37,537.616 \n",
       "  1270.36,623.783 1272.35,672.847 1274.34,614.63 1276.33,637.951 1278.32,693.763 1280.31,704.429 1282.3,674.637 1284.3,647.213 1286.29,662.323 1288.28,674.25 \n",
       "  1290.27,679.105 1292.26,689.451 1294.25,708.266 1296.24,727.126 1298.23,690.449 1300.22,639.735 1302.21,615.325 1304.2,675.174 1306.19,673.174 1308.19,649.993 \n",
       "  1310.18,610.57 1312.17,688.562 1314.16,807.545 1316.15,724.168 1318.14,643.538 1320.13,677.788 1322.12,705.589 1324.11,616.847 1326.1,609.083 1328.09,645.608 \n",
       "  1330.08,646.977 1332.08,645.205 1334.07,624.133 1336.06,687.498 1338.05,743.581 1340.04,735.671 1342.03,592.828 1344.02,617.863 1346.01,673.582 1348,622.132 \n",
       "  1349.99,611.36 1351.98,657.433 1353.97,640.071 1355.97,530.023 1357.96,671.694 1359.95,869.39 1361.94,780.845 1363.93,629.543 1365.92,614.305 1367.91,728.715 \n",
       "  1369.9,781.51 1371.89,684.9 1373.88,654.553 1375.87,803.541 1377.86,791.948 1379.86,658.257 1381.85,592.682 1383.84,639.092 1385.83,615.238 1387.82,599.48 \n",
       "  1389.81,703.808 1391.8,782.175 1393.79,794.283 1395.78,703.933 1397.77,624.245 1399.76,675.51 1401.75,745.205 1403.75,725.287 1405.74,705.649 1407.73,730.719 \n",
       "  1409.72,730.394 1411.71,757.797 1413.7,693.122 1415.69,649.35 1417.68,648.536 1419.67,640.676 1421.66,632.713 1423.65,715.308 1425.64,742.974 1427.64,796.812 \n",
       "  1429.63,636.549 1431.62,604.435 1433.61,657.15 1435.6,770.257 1437.59,693.314 1439.58,545.996 1441.57,644.329 1443.56,700.061 1445.55,701.201 1447.54,711.525 \n",
       "  1449.53,701.382 1451.53,670.631 1453.52,664.458 1455.51,621.185 1457.5,612.521 1459.49,695.733 1461.48,724.582 1463.47,644.097 1465.46,583.258 1467.45,603.01 \n",
       "  1469.44,645.767 1471.43,656.182 1473.42,664.833 1475.42,624.119 1477.41,590.807 1479.4,689.78 1481.39,813.43 1483.38,888.083 1485.37,774.457 1487.36,692.308 \n",
       "  1489.35,663.104 1491.34,706.633 1493.33,657.691 1495.32,557.498 1497.31,481.611 1499.31,630.323 1501.3,706.527 1503.29,623.498 1505.28,619.313 1507.27,638.91 \n",
       "  1509.26,699.136 1511.25,673.487 1513.24,611.091 1515.23,584.498 1517.22,629.809 1519.21,678.477 1521.2,599.892 1523.2,607.867 1525.19,641.856 1527.18,632.931 \n",
       "  1529.17,652.649 1531.16,786.289 1533.15,816.682 1535.14,721.494 1537.13,627.881 1539.12,651.956 1541.11,612.983 1543.1,645.241 1545.09,645.913 1547.09,660.978 \n",
       "  1549.08,710.173 1551.07,678.117 1553.06,647.498 1555.05,746.144 1557.04,824.506 1559.03,830.895 1561.02,701.019 1563.01,781.961 1565,861.196 1566.99,757.403 \n",
       "  1568.98,657.288 1570.98,736.542 1572.97,767.127 1574.96,753.261 1576.95,756.491 1578.94,806.491 1580.93,789.684 1582.92,688.384 1584.91,679.946 1586.9,636.177 \n",
       "  1588.89,636.045 1590.88,628.864 1592.87,682.45 1594.87,689.699 1596.86,667.926 1598.85,701.64 1600.84,643.07 1602.83,672.784 1604.82,723.492 1606.81,716.502 \n",
       "  1608.8,693.506 1610.79,715.157 1612.78,799.293 1614.77,831.25 1616.76,834.334 1618.76,741.937 1620.75,722.885 1622.74,708.622 1624.73,705.654 1626.72,683.693 \n",
       "  1628.71,661.647 1630.7,780.362 1632.69,785.179 1634.68,707.026 1636.67,695.527 1638.66,680.21 1640.65,710.075 1642.65,708.347 1644.64,650.145 1646.63,658.507 \n",
       "  1648.62,736.839 1650.61,737.328 1652.6,656.675 1654.59,704.165 1656.58,719.891 1658.57,760.957 1660.56,687.832 1662.55,734.59 1664.54,733.695 1666.54,727.048 \n",
       "  1668.53,690.612 1670.52,698.25 1672.51,634.156 1674.5,618.25 1676.49,736.625 1678.48,768.101 1680.47,681.301 1682.46,607.255 1684.45,647.234 1686.44,732.441 \n",
       "  1688.43,774.16 1690.43,700.665 1692.42,759.062 1694.41,738.81 1696.4,694.275 1698.39,629.757 1700.38,766.101 1702.37,795.747 1704.36,732.166 1706.35,724.329 \n",
       "  1708.34,742.377 1710.33,733.817 1712.32,707.622 1714.32,721.443 1716.31,701.74 1718.3,619.873 1720.29,659.1 1722.28,657.368 1724.27,613.832 1726.26,705.303 \n",
       "  1728.25,708.623 1730.24,627.047 1732.23,652.441 1734.22,664.831 1736.21,673.888 1738.21,663.021 1740.2,668.005 1742.19,701.98 1744.18,716.417 1746.17,749.516 \n",
       "  1748.16,786.236 1750.15,743.485 1752.14,679.135 1754.13,741.453 1756.12,863.105 1758.11,819.85 1760.1,738.817 1762.1,802.624 1764.09,803.634 1766.08,808.914 \n",
       "  1768.07,779.122 1770.06,814.947 1772.05,802.08 1774.04,781.424 1776.03,716.425 1778.02,655.709 1780.01,661.64 1782,673.873 1783.99,664.551 1785.99,718.786 \n",
       "  1787.98,717.282 1789.97,704.445 1791.96,726.545 1793.95,707.03 1795.94,677.618 1797.93,721.843 1799.92,693.733 1801.91,667.902 1803.9,681.805 1805.89,652.794 \n",
       "  1807.88,668.793 1809.88,609.648 1811.87,606.983 1813.86,664.673 1815.85,636.479 1817.84,674.109 1819.83,746.465 1821.82,779.258 1823.81,707.86 1825.8,650.003 \n",
       "  1827.79,665.458 1829.78,666.368 1831.77,740.382 1833.77,708.573 1835.76,680.602 1837.75,635.69 1839.74,664.496 1841.73,673.715 1843.72,675.052 1845.71,666.502 \n",
       "  1847.7,749.386 1849.69,747.289 1851.68,598.829 1853.67,611.945 1855.66,660.701 1857.66,771.956 1859.65,787.496 1861.64,728.358 1863.63,684.951 1865.62,659.639 \n",
       "  1867.61,690.878 1869.6,616.957 1871.59,551.022 1873.58,596.434 1875.57,712.196 1877.56,678.708 1879.55,558.652 1881.55,618.922 1883.54,764.949 1885.53,731.934 \n",
       "  1887.52,677.849 1889.51,625.252 1891.5,598.537 1893.49,686.813 1895.48,694.063 1897.47,609.931 1899.46,621.364 1901.45,721.39 1903.44,724.864 1905.44,694.897 \n",
       "  1907.43,674.943 1909.42,657.792 1911.41,596.02 1913.4,622.645 1915.39,717.001 1917.38,668.944 1919.37,644.088 1921.36,682.796 1923.35,769.154 1925.34,697.348 \n",
       "  1927.33,604.21 1929.33,693.779 1931.32,756.255 1933.31,749.706 1935.3,709.086 1937.29,713.385 1939.28,756.035 1941.27,758.471 1943.26,697.867 1945.25,642.622 \n",
       "  1947.24,623.113 1949.23,738.446 1951.22,765.081 1953.22,612.071 1955.21,571.138 1957.2,633.734 1959.19,765.191 1961.18,691.303 1963.17,585.235 1965.16,590.486 \n",
       "  1967.15,654.7 1969.14,737.578 1971.13,703.486 1973.12,631.702 1975.11,659.425 1977.11,652.766 1979.1,642.374 1981.09,679.548 1983.08,708.665 1985.07,699.688 \n",
       "  1987.06,704.121 1989.05,713.905 1991.04,830.488 1993.03,802.402 1995.02,743.184 1997.01,727.276 1999,717.164 2001,640.381 2002.99,724.04 2004.98,676.853 \n",
       "  2006.97,670.988 2008.96,804.676 2010.95,871.382 2012.94,806.683 2014.93,618.794 2016.92,650.299 2018.91,725.935 2020.9,724.443 2022.89,657.53 2024.89,633.736 \n",
       "  2026.88,730.941 2028.87,700.688 2030.86,625.571 2032.85,699.725 2034.84,788.05 2036.83,670.784 2038.82,636.098 2040.81,746.96 2042.8,711.866 2044.79,610.086 \n",
       "  2046.78,627.149 2048.78,663.955 2050.77,706.717 2052.76,731.912 2054.75,734.204 2056.74,681.257 2058.73,665.087 2060.72,746.328 2062.71,759.551 2064.7,631.438 \n",
       "  2066.69,641.52 2068.68,752.577 2070.67,716.941 2072.67,615.466 2074.66,575.13 2076.65,714.286 2078.64,646.29 2080.63,626.499 2082.62,654.2 2084.61,679.155 \n",
       "  2086.6,692.985 2088.59,665.81 2090.58,740.794 2092.57,648.324 2094.56,615.655 2096.56,762.636 2098.55,704.978 2100.54,511.909 2102.53,565.727 2104.52,757.25 \n",
       "  2106.51,661.545 2108.5,616.721 2110.49,698.126 2112.48,629.186 2114.47,625.84 2116.46,725.955 2118.45,796.377 2120.45,688.249 2122.44,647.86 2124.43,714.977 \n",
       "  2126.42,806.556 2128.41,700.926 2130.4,662.337 2132.39,683.51 2134.38,725.904 2136.37,770.383 2138.36,650.178 2140.35,602.114 2142.34,707.206 2144.34,756.829 \n",
       "  2146.33,635.979 2148.32,606.867 2150.31,635.505 2152.3,711.168 2154.29,697.412 2156.28,621.754 2158.27,586.616 2160.26,592.983 2162.25,645.053 2164.24,617.702 \n",
       "  2166.23,662.81 2168.23,774.09 2170.22,772.495 2172.21,676.413 2174.2,632.904 2176.19,648.676 2178.18,749.872 2180.17,692.306 2182.16,624.006 2184.15,634.532 \n",
       "  2186.14,716.716 2188.13,605.818 2190.12,571.519 2192.12,691.874 2194.11,731.058 2196.1,624.288 2198.09,622.025 2200.08,635.15 2202.07,688.245 2204.06,743.429 \n",
       "  2206.05,772.348 2208.04,803.629 2210.03,689.369 2212.02,587.828 2214.01,663.669 2216.01,764.788 2218,719.526 2219.99,595.271 2221.98,686.045 2223.97,790.912 \n",
       "  2225.96,759.017 2227.95,695.482 2229.94,673.537 2231.93,674.056 2233.92,585.03 2235.91,562.821 2237.9,669.2 2239.9,702.046 2241.89,755.889 2243.88,750.634 \n",
       "  2245.87,697.799 2247.86,690.785 2249.85,763.421 2251.84,748.433 2253.83,702.004 2255.82,680.697 2257.81,685.224 2259.8,770.555 2261.79,740.335 2263.79,608.589 \n",
       "  2265.78,646.921 2267.77,679.544 2269.76,664.277 2271.75,690.957 2273.74,731.701 2275.73,758.856 2277.72,691.141 2279.71,578.427 2281.7,602.433 2283.69,656.604 \n",
       "  2285.68,675.142 2287.68,653.749 2289.67,637.394 2291.66,668.765 \n",
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       "  971.735,1070.81 973.726,952.344 975.716,885.418 977.707,819.431 979.698,734.185 981.689,701.138 983.68,598.362 985.671,515.268 987.661,431.318 989.652,449.705 \n",
       "  991.643,421.17 993.634,565.797 995.625,566.245 997.616,585.221 999.606,573.348 1001.6,587.236 1003.59,555.388 1005.58,614.721 1007.57,730.217 1009.56,727.245 \n",
       "  1011.55,599.436 1013.54,533.785 1015.53,480.353 1017.52,546.242 1019.51,523.525 1021.51,647.316 1023.5,634.697 1025.49,414.228 1027.48,504.532 1029.47,634.381 \n",
       "  1031.46,625.938 1033.45,719.12 1035.44,676.247 1037.43,698.778 1039.42,615.627 1041.41,582.157 1043.4,484.625 1045.4,623.993 1047.39,678.603 1049.38,675.575 \n",
       "  1051.37,660.676 1053.36,870.209 1055.35,835.239 1057.34,820.072 1059.33,612.905 1061.32,477.51 1063.31,566.074 1065.3,637.595 1067.29,613.485 1069.29,423.418 \n",
       "  1071.28,337.429 1073.27,329.553 1075.26,356.594 1077.25,394.623 1079.24,543.327 1081.23,718.427 1083.22,798.496 1085.21,841.593 1087.2,1040.31 1089.19,936.051 \n",
       "  1091.18,716.614 1093.18,579.877 1095.17,682.863 1097.16,562.491 1099.15,552.77 1101.14,623.7 1103.13,665.94 1105.12,656.814 1107.11,768.479 1109.1,794.418 \n",
       "  1111.09,715.19 1113.08,539.89 1115.07,549.872 1117.07,565.54 1119.06,508.739 1121.05,489.631 1123.04,440.315 1125.03,658.786 1127.02,652.656 1129.01,791.796 \n",
       "  1131,692.706 1132.99,667.947 1134.98,671.863 1136.97,482.801 1138.96,583.293 1140.96,629.525 1142.95,654.829 1144.94,715.125 1146.93,600.362 1148.92,544.512 \n",
       "  1150.91,613.702 1152.9,720.971 1154.89,696.399 1156.88,794.697 1158.87,825.027 1160.86,872.137 1162.85,824.648 1164.85,772.707 1166.84,609.52 1168.83,735.884 \n",
       "  1170.82,869.496 1172.81,781.066 1174.8,770.63 1176.79,968.716 1178.78,978.697 1180.77,795.008 1182.76,786.228 1184.75,741.028 1186.74,790.334 1188.74,709.799 \n",
       "  1190.73,714.167 1192.72,704.986 1194.71,653.292 1196.7,587.223 1198.69,475.208 1200.68,428.49 1202.67,387.93 1204.66,399.33 1206.65,301.294 1208.64,428.387 \n",
       "  1210.63,395.612 1212.63,399.324 1214.62,451.721 1216.61,552.924 1218.6,510.796 1220.59,583.331 1222.58,420.687 1224.57,416.244 1226.56,530.933 1228.55,552.029 \n",
       "  1230.54,617.118 1232.53,662.056 1234.52,701.522 1236.52,656.194 1238.51,604.4 1240.5,601.475 1242.49,682.774 1244.48,759.169 1246.47,756.978 1248.46,702.701 \n",
       "  1250.45,749.496 1252.44,738.524 1254.43,670.237 1256.42,751.848 1258.41,914.004 1260.41,1065.96 1262.4,1008.18 1264.39,981.252 1266.38,992.859 1268.37,919.286 \n",
       "  1270.36,808.107 1272.35,467.328 1274.34,479.564 1276.33,546.86 1278.32,419.461 1280.31,333.633 1282.3,288.331 1284.3,361.98 1286.29,467.459 1288.28,607.317 \n",
       "  1290.27,652.036 1292.26,770.557 1294.25,651.734 1296.24,646.524 1298.23,600.971 1300.22,613.314 1302.21,536.535 1304.2,527.026 1306.19,456.265 1308.19,561.772 \n",
       "  1310.18,532.519 1312.17,605.608 1314.16,499.933 1316.15,596.221 1318.14,773.765 1320.13,884.165 1322.12,779.9 1324.11,634.391 1326.1,660.66 1328.09,633.19 \n",
       "  1330.08,704.175 1332.08,628.45 1334.07,575.565 1336.06,560.898 1338.05,662.694 1340.04,576.769 1342.03,659.424 1344.02,619.774 1346.01,563.46 1348,537.206 \n",
       "  1349.99,568.79 1351.98,466.788 1353.97,428.103 1355.97,409.859 1357.96,396.38 1359.95,314.999 1361.94,285.719 1363.93,611.018 1365.92,794.332 1367.91,740.292 \n",
       "  1369.9,621.723 1371.89,622.145 1373.88,817.99 1375.87,831.584 1377.86,773.394 1379.86,771.128 1381.85,973.279 1383.84,878.349 1385.83,672.496 1387.82,563.236 \n",
       "  1389.81,431.317 1391.8,477.324 1393.79,529.727 1395.78,593.432 1397.77,683.673 1399.76,762.001 1401.75,774.917 1403.75,698.861 1405.74,689.848 1407.73,786.013 \n",
       "  1409.72,735.265 1411.71,839.211 1413.7,777.915 1415.69,779.061 1417.68,676.828 1419.67,658.489 1421.66,609.109 1423.65,484.347 1425.64,489.761 1427.64,589.834 \n",
       "  1429.63,697.055 1431.62,771.723 1433.61,663.847 1435.6,648.462 1437.59,594.625 1439.58,685.169 1441.57,706.263 1443.56,539.348 1445.55,445.454 1447.54,550.089 \n",
       "  1449.53,676.569 1451.53,712.651 1453.52,902.782 1455.51,845.054 1457.5,884.527 1459.49,696.111 1461.48,563.245 1463.47,585.919 1465.46,721.239 1467.45,760.07 \n",
       "  1469.44,515.165 1471.43,538.757 1473.42,453.362 1475.42,540.967 1477.41,680.234 1479.4,629.533 1481.39,578.804 1483.38,671.95 1485.37,800.386 1487.36,1038.24 \n",
       "  1489.35,1208.07 1491.34,1008.68 1493.33,1017.26 1495.32,889.044 1497.31,826.976 1499.31,607.471 1501.3,438.506 1503.29,175.829 1505.28,348.324 1507.27,503.049 \n",
       "  1509.26,383.409 1511.25,228.623 1513.24,293.268 1515.23,389.945 1517.22,524.785 1519.21,397.862 1521.2,446.615 1523.2,358.434 1525.19,364.552 1527.18,401.341 \n",
       "  1529.17,344.526 1531.16,487.784 1533.15,425.248 1535.14,572.32 1537.13,738.171 1539.12,876.757 1541.11,798.418 1543.1,707.682 1545.09,671.328 1547.09,707.661 \n",
       "  1549.08,546.061 1551.07,572.299 1553.06,599.844 1555.05,682.224 1557.04,715.963 1559.03,828.593 1561.02,964.087 1563.01,1004.22 1565,975.307 1566.99,885.32 \n",
       "  1568.98,1059.43 1570.98,1164.02 1572.97,934.741 1574.96,925.036 1576.95,892.141 1578.94,882.133 1580.93,810.241 1582.92,998.238 1584.91,1201.11 1586.9,975.529 \n",
       "  1588.89,845.694 1590.88,837.486 1592.87,857.549 1594.87,715.415 1596.86,728.251 1598.85,654.877 1600.84,631.125 1602.83,685.097 1604.82,727.839 1606.81,781.678 \n",
       "  1608.8,833.398 1610.79,816.769 1612.78,656.301 1614.77,752.512 1616.76,799.122 1618.76,967.663 1620.75,1088.34 1622.74,1085.34 1624.73,1155.99 1626.72,967.036 \n",
       "  1628.71,1008.81 1630.7,1044.65 1632.69,951.92 1634.68,1080.34 1636.67,1177.07 1638.66,1096.98 1640.65,1013.24 1642.65,887.811 1644.64,829.245 1646.63,772.321 \n",
       "  1648.62,656.434 1650.61,614.44 1652.6,761.256 1654.59,776.222 1656.58,729.927 1658.57,727.628 1660.56,702.191 1662.55,747.243 1664.54,746.437 1666.54,852.614 \n",
       "  1668.53,816.334 1670.52,824.565 1672.51,930.177 1674.5,835.137 1676.49,746.738 1678.48,575.855 1680.47,639.781 1682.46,796.082 1684.45,719.344 1686.44,648.961 \n",
       "  1688.43,509.534 1690.43,577.663 1692.42,757.098 1694.41,715.492 1696.4,858.036 1698.39,799.499 1700.38,788.405 1702.37,669.986 1704.36,684.304 1706.35,640.411 \n",
       "  1708.34,834.802 1710.33,871.719 1712.32,832.316 1714.32,920.792 1716.31,893.02 1718.3,826.227 1720.29,687.2 1722.28,564.151 1724.27,457.381 1726.26,427.151 \n",
       "  1728.25,435.629 1730.24,589.047 1732.23,639.243 1734.22,628.454 1736.21,564.002 1738.21,595.972 1740.2,386.402 1742.19,410.967 1744.18,553.402 1746.17,491.199 \n",
       "  1748.16,565.547 1750.15,760.163 1752.14,745.359 1754.13,788.181 1756.12,785.014 1758.11,780.94 1760.1,936.645 1762.1,1095.33 1764.09,1134.91 1766.08,1147.39 \n",
       "  1768.07,1323.85 1770.06,1386.4 1772.05,1285.62 1774.04,1180.18 1776.03,1163.28 1778.02,1139.54 1780.01,1052.71 1782,812.019 1783.99,748.665 1785.99,704.356 \n",
       "  1787.98,730.907 1789.97,766.887 1791.96,886.704 1793.95,820.321 1795.94,946.365 1797.93,940.012 1799.92,808.053 1801.91,885.589 1803.9,858.439 1805.89,842.63 \n",
       "  1807.88,686.497 1809.88,564.203 1811.87,533.969 1813.86,348.705 1815.85,455.959 1817.84,532.062 1819.83,564.629 1821.82,557.792 1823.81,583.822 1825.8,788.901 \n",
       "  1827.79,745.024 1829.78,614.796 1831.77,489.534 1833.77,475.129 1835.76,585.086 1837.75,695.267 1839.74,585.201 1841.73,448.514 1843.72,289.662 1845.71,390.61 \n",
       "  1847.7,434.265 1849.69,564.634 1851.68,746.805 1853.67,778.267 1855.66,757.106 1857.66,454.917 1859.65,389.299 1861.64,603.956 1863.63,740.9 1865.62,815.445 \n",
       "  1867.61,751.439 1869.6,642.79 1871.59,521.734 1873.58,601.823 1875.57,454.411 1877.56,434.487 1879.55,504.562 1881.55,616.726 1883.54,580.938 1885.53,412.127 \n",
       "  1887.52,524.675 1889.51,674.291 1891.5,744.059 1893.49,669.507 1895.48,578.478 1897.47,508.975 1899.46,607.149 1901.45,502.817 1903.44,520.377 1905.44,578.835 \n",
       "  1907.43,682.751 1909.42,742.356 1911.41,836.155 1913.4,657.401 1915.39,635.549 1917.38,515.007 1919.37,517.537 1921.36,506.731 1923.35,509.531 1925.34,758.067 \n",
       "  1927.33,828.944 1929.33,652.369 1931.32,663.595 1933.31,493.572 1935.3,520.41 1937.29,599.933 1939.28,568.654 1941.27,687.886 1943.26,669.057 1945.25,821.57 \n",
       "  1947.24,821.86 1949.23,721.838 1951.22,605.981 1953.22,565.453 1955.21,828.517 1957.2,853.116 1959.19,601.649 1961.18,473.824 1963.17,631.781 1965.16,665.271 \n",
       "  1967.15,500.145 1969.14,411.818 1971.13,426.706 1973.12,442.675 1975.11,669.462 1977.11,630.851 1979.1,588.452 1981.09,713.423 1983.08,757.545 1985.07,626.259 \n",
       "  1987.06,589.232 1989.05,527.271 1991.04,645.172 1993.03,625.632 1995.02,787.65 1997.01,955.867 1999,1197.48 2001,1243.09 2002.99,1209.37 2004.98,809.928 \n",
       "  2006.97,884.059 2008.96,866.006 2010.95,805.954 2012.94,854.947 2014.93,1011.32 2016.92,1147.42 2018.91,958.204 2020.9,892.398 2022.89,936.636 2024.89,1026.76 \n",
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       "  493.935,626.571 495.926,734.942 497.916,701.249 499.907,664.103 501.898,659.523 503.889,679.001 505.88,684.625 507.871,683.593 509.861,699.304 511.852,657.894 \n",
       "  513.843,754.249 515.834,796.745 517.825,661.928 519.816,650.153 521.806,684.324 523.797,642.739 525.788,701.939 527.779,671.969 529.77,663.631 531.761,611.619 \n",
       "  533.751,591.8 535.742,652.796 537.733,728.206 539.724,750.489 541.715,702.055 543.706,664.09 545.696,757.962 547.687,699.699 549.678,586.895 551.669,684.872 \n",
       "  553.66,705.368 555.651,583.58 557.641,700.987 559.632,710.64 561.623,612.396 563.614,598.136 565.605,712.978 567.596,742.72 569.586,634.754 571.577,604.908 \n",
       "  573.568,763.507 575.559,725.664 577.55,614.666 579.541,582.207 581.531,740.204 583.522,802.338 585.513,755.397 587.504,736.838 589.495,771.433 591.486,727.453 \n",
       "  593.476,678.868 595.467,749.16 597.458,721.487 599.449,727.499 601.44,751.326 603.431,723.285 605.421,656.932 607.412,643.765 609.403,610.543 611.394,680.191 \n",
       "  613.385,664.234 615.376,638.724 617.366,664.328 619.357,630.093 621.348,646.036 623.339,726.238 625.33,791.734 627.321,692.776 629.311,641.302 631.302,673.569 \n",
       "  633.293,663.313 635.284,674.169 637.275,765.507 639.266,790.166 641.256,787.529 643.247,759.411 645.238,712.839 647.229,637.086 649.22,652.435 651.211,689.754 \n",
       "  653.201,668.981 655.192,771.361 657.183,753.854 659.174,651.599 661.165,649.997 663.156,726.127 665.146,777.678 667.137,668.341 669.128,712.01 671.119,805.726 \n",
       "  673.11,795.414 675.101,734.166 677.091,680.191 679.082,630.487 681.073,667.724 683.064,756.808 685.055,738.31 687.046,753.499 689.036,774.803 691.027,726.309 \n",
       "  693.018,668.545 695.009,747.418 697,841.119 698.991,694.316 700.981,636.794 702.972,665.699 704.963,685.885 706.954,604.332 708.945,564.936 710.936,598.021 \n",
       "  712.926,646.509 714.917,600.774 716.908,641.318 718.899,801.895 720.89,691.381 722.881,552.364 724.871,598.619 726.862,690.837 728.853,690.062 730.844,538.602 \n",
       "  732.835,572.262 734.826,690.786 736.816,704.687 738.807,730.047 740.798,715.3 742.789,685.579 744.78,567.174 746.771,667.736 748.761,706.236 750.752,703.693 \n",
       "  752.743,693.367 754.734,739.499 756.725,761.051 758.716,711.793 760.706,740.301 762.697,746.984 764.688,749.979 766.679,734.585 768.67,704.977 770.661,620.569 \n",
       "  772.651,627.968 774.642,740.714 776.633,797.506 778.624,723.239 780.615,676.416 782.606,661.734 784.596,656.421 786.587,648.248 788.578,569.129 790.569,625.808 \n",
       "  792.56,700.193 794.551,607.832 796.541,534.165 798.532,551.951 800.523,668.85 802.514,762.056 804.505,741.924 806.496,687.391 808.486,672.486 810.477,682.558 \n",
       "  812.468,662.672 814.459,659.587 816.45,639.545 818.441,590.083 820.431,650.251 822.422,768.764 824.413,769.422 826.404,626.513 828.395,603.197 830.386,657.807 \n",
       "  832.376,659.375 834.367,716.278 836.358,747.115 838.349,695.275 840.34,722.9 842.331,726.572 844.321,662.538 846.312,703.242 848.303,703.199 850.294,612.949 \n",
       "  852.285,674.196 854.276,746.452 856.266,667.475 858.257,663.65 860.248,681.454 862.239,660.389 864.23,613.057 866.221,638.528 868.211,678.433 870.202,752.968 \n",
       "  872.193,676.837 874.184,653.326 876.175,727.621 878.166,733.078 880.156,750.153 882.147,640.984 884.138,619.115 886.129,700.183 888.12,666.726 890.111,671.141 \n",
       "  892.101,672.261 894.092,612.164 896.083,583.927 898.074,624.099 900.065,612.921 902.056,688.474 904.046,790.331 906.037,801.259 908.028,713.143 910.019,691.258 \n",
       "  912.01,804.159 914.001,882.522 915.991,760.563 917.982,631.363 919.973,740.961 921.964,823.854 923.955,799.271 925.946,702.91 927.936,663.548 929.927,744.914 \n",
       "  931.918,694.024 933.909,631.82 935.9,642.734 937.891,610.298 939.881,660.833 941.872,625.208 943.863,653.635 945.854,703.894 947.845,699.623 949.836,659.943 \n",
       "  951.826,792.734 953.817,767.175 955.808,667.119 957.799,698.532 959.79,684.556 961.781,656.77 963.771,750.713 965.762,756.419 967.753,677.821 969.744,654.417 \n",
       "  971.735,686.168 973.726,670.17 975.716,630.819 977.707,574.447 979.698,583.054 981.689,628.47 983.68,615.267 985.671,682.118 987.661,700.449 989.652,705.597 \n",
       "  991.643,694.79 993.634,655.662 995.625,687.635 997.616,673.859 999.606,669.055 1001.6,691.219 1003.59,750.096 1005.58,702.698 1007.57,622.461 1009.56,664.379 \n",
       "  1011.55,709.338 1013.54,624.387 1015.53,611.636 1017.52,626.83 1019.51,650.731 1021.51,662.735 1023.5,747.845 1025.49,732.229 1027.48,677.087 1029.47,746.397 \n",
       "  1031.46,759.111 1033.45,616.391 1035.44,595.19 1037.43,637.805 1039.42,707.884 1041.41,796.545 1043.4,792.921 1045.4,759.924 1047.39,750.919 1049.38,710.145 \n",
       "  1051.37,723.463 1053.36,658.616 1055.35,579.157 1057.34,594.58 1059.33,675.225 1061.32,728.366 1063.31,679.676 1065.3,607.323 1067.29,635.663 1069.29,689.533 \n",
       "  1071.28,624.651 1073.27,620.123 1075.26,746.399 1077.25,765.186 1079.24,733.029 1081.23,758.664 1083.22,778.231 1085.21,672.993 1087.2,604.663 1089.19,682.634 \n",
       "  1091.18,768.232 1093.18,669.29 1095.17,657.159 1097.16,618.952 1099.15,668.677 1101.14,666.086 1103.13,682.092 1105.12,660.858 1107.11,583.132 1109.1,656.743 \n",
       "  1111.09,681.66 1113.08,624.771 1115.07,650.233 1117.07,693.397 1119.06,717.189 1121.05,688.951 1123.04,614.342 1125.03,689.203 1127.02,756.107 1129.01,687.411 \n",
       "  1131,592.991 1132.99,603.142 1134.98,712.175 1136.97,702.656 1138.96,660.351 1140.96,645.812 1142.95,661.483 1144.94,694.095 1146.93,717.005 1148.92,696.813 \n",
       "  1150.91,685.652 1152.9,698.339 1154.89,781.028 1156.88,803.905 1158.87,648.178 1160.86,556.202 1162.85,681.622 1164.85,795.598 1166.84,756.976 1168.83,668.916 \n",
       "  1170.82,756.389 1172.81,801.582 1174.8,680.106 1176.79,609.658 1178.78,659.033 1180.77,705.901 1182.76,673.873 1184.75,689.066 1186.74,714.814 1188.74,703.579 \n",
       "  1190.73,637.807 1192.72,657.154 1194.71,651.491 1196.7,618.025 1198.69,614.985 1200.68,596.077 1202.67,579.288 1204.66,619.267 1206.65,660.271 1208.64,691.92 \n",
       "  1210.63,659.96 1212.63,625.376 1214.62,663.289 1216.61,646.447 1218.6,617.367 1220.59,577.84 1222.58,625.762 1224.57,698.82 1226.56,724.971 1228.55,745.644 \n",
       "  1230.54,679.733 1232.53,610.856 1234.52,646.414 1236.52,693.992 1238.51,719.532 1240.5,678.209 1242.49,622.604 1244.48,633.519 1246.47,739.606 1248.46,632.29 \n",
       "  1250.45,602.376 1252.44,719.312 1254.43,849.258 1256.42,770.506 1258.41,673.771 1260.41,698.003 1262.4,754.608 1264.39,737.892 1266.38,653.474 1268.37,537.616 \n",
       "  1270.36,623.783 1272.35,672.847 1274.34,614.63 1276.33,637.951 1278.32,693.763 1280.31,704.429 1282.3,674.637 1284.3,647.213 1286.29,662.323 1288.28,674.25 \n",
       "  1290.27,679.105 1292.26,689.451 1294.25,708.266 1296.24,727.126 1298.23,690.449 1300.22,639.735 1302.21,615.325 1304.2,675.174 1306.19,673.174 1308.19,649.993 \n",
       "  1310.18,610.57 1312.17,688.562 1314.16,807.545 1316.15,724.168 1318.14,643.538 1320.13,677.788 1322.12,705.589 1324.11,616.847 1326.1,609.083 1328.09,645.608 \n",
       "  1330.08,646.977 1332.08,645.205 1334.07,624.133 1336.06,687.498 1338.05,743.581 1340.04,735.671 1342.03,592.828 1344.02,617.863 1346.01,673.582 1348,622.132 \n",
       "  1349.99,611.36 1351.98,657.433 1353.97,640.071 1355.97,530.023 1357.96,671.694 1359.95,869.39 1361.94,780.845 1363.93,629.543 1365.92,614.305 1367.91,728.715 \n",
       "  1369.9,781.51 1371.89,684.9 1373.88,654.553 1375.87,803.541 1377.86,791.948 1379.86,658.257 1381.85,592.682 1383.84,639.092 1385.83,615.238 1387.82,599.48 \n",
       "  1389.81,703.808 1391.8,782.175 1393.79,794.283 1395.78,703.933 1397.77,624.245 1399.76,675.51 1401.75,745.205 1403.75,725.287 1405.74,705.649 1407.73,730.719 \n",
       "  1409.72,730.394 1411.71,757.797 1413.7,693.122 1415.69,649.35 1417.68,648.536 1419.67,640.676 1421.66,632.713 1423.65,715.308 1425.64,742.974 1427.64,796.812 \n",
       "  1429.63,636.549 1431.62,604.435 1433.61,657.15 1435.6,770.257 1437.59,693.314 1439.58,545.996 1441.57,644.329 1443.56,700.061 1445.55,701.201 1447.54,711.525 \n",
       "  1449.53,701.382 1451.53,670.631 1453.52,664.458 1455.51,621.185 1457.5,612.521 1459.49,695.733 1461.48,724.582 1463.47,644.097 1465.46,583.258 1467.45,603.01 \n",
       "  1469.44,645.767 1471.43,656.182 1473.42,664.833 1475.42,624.119 1477.41,590.807 1479.4,689.78 1481.39,813.43 1483.38,888.083 1485.37,774.457 1487.36,692.308 \n",
       "  1489.35,663.104 1491.34,706.633 1493.33,657.691 1495.32,557.498 1497.31,481.611 1499.31,630.323 1501.3,706.527 1503.29,623.498 1505.28,619.313 1507.27,638.91 \n",
       "  1509.26,699.136 1511.25,673.487 1513.24,611.091 1515.23,584.498 1517.22,629.809 1519.21,678.477 1521.2,599.892 1523.2,607.867 1525.19,641.856 1527.18,632.931 \n",
       "  1529.17,652.649 1531.16,786.289 1533.15,816.682 1535.14,721.494 1537.13,627.881 1539.12,651.956 1541.11,612.983 1543.1,645.241 1545.09,645.913 1547.09,660.978 \n",
       "  1549.08,710.173 1551.07,678.117 1553.06,647.498 1555.05,746.144 1557.04,824.506 1559.03,830.895 1561.02,701.019 1563.01,781.961 1565,861.196 1566.99,757.403 \n",
       "  1568.98,657.288 1570.98,736.542 1572.97,767.127 1574.96,753.261 1576.95,756.491 1578.94,806.491 1580.93,789.684 1582.92,688.384 1584.91,679.946 1586.9,636.177 \n",
       "  1588.89,636.045 1590.88,628.864 1592.87,682.45 1594.87,689.699 1596.86,667.926 1598.85,701.64 1600.84,643.07 1602.83,672.784 1604.82,723.492 1606.81,716.502 \n",
       "  1608.8,693.506 1610.79,715.157 1612.78,799.293 1614.77,831.25 1616.76,834.334 1618.76,741.937 1620.75,722.885 1622.74,708.622 1624.73,705.654 1626.72,683.693 \n",
       "  1628.71,661.647 1630.7,780.362 1632.69,785.179 1634.68,707.026 1636.67,695.527 1638.66,680.21 1640.65,710.075 1642.65,708.347 1644.64,650.145 1646.63,658.507 \n",
       "  1648.62,736.839 1650.61,737.328 1652.6,656.675 1654.59,704.165 1656.58,719.891 1658.57,760.957 1660.56,687.832 1662.55,734.59 1664.54,733.695 1666.54,727.048 \n",
       "  1668.53,690.612 1670.52,698.25 1672.51,634.156 1674.5,618.25 1676.49,736.625 1678.48,768.101 1680.47,681.301 1682.46,607.255 1684.45,647.234 1686.44,732.441 \n",
       "  1688.43,774.16 1690.43,700.665 1692.42,759.062 1694.41,738.81 1696.4,694.275 1698.39,629.757 1700.38,766.101 1702.37,795.747 1704.36,732.166 1706.35,724.329 \n",
       "  1708.34,742.377 1710.33,733.817 1712.32,707.622 1714.32,721.443 1716.31,701.74 1718.3,619.873 1720.29,659.1 1722.28,657.368 1724.27,613.832 1726.26,705.303 \n",
       "  1728.25,708.623 1730.24,627.047 1732.23,652.441 1734.22,664.831 1736.21,673.888 1738.21,663.021 1740.2,668.005 1742.19,701.98 1744.18,716.417 1746.17,749.516 \n",
       "  1748.16,786.236 1750.15,743.485 1752.14,679.135 1754.13,741.453 1756.12,863.105 1758.11,819.85 1760.1,738.817 1762.1,802.624 1764.09,803.634 1766.08,808.914 \n",
       "  1768.07,779.122 1770.06,814.947 1772.05,802.08 1774.04,781.424 1776.03,716.425 1778.02,655.709 1780.01,661.64 1782,673.873 1783.99,664.551 1785.99,718.786 \n",
       "  1787.98,717.282 1789.97,704.445 1791.96,726.545 1793.95,707.03 1795.94,677.618 1797.93,721.843 1799.92,693.733 1801.91,667.902 1803.9,681.805 1805.89,652.794 \n",
       "  1807.88,668.793 1809.88,609.648 1811.87,606.983 1813.86,664.673 1815.85,636.479 1817.84,674.109 1819.83,746.465 1821.82,779.258 1823.81,707.86 1825.8,650.003 \n",
       "  1827.79,665.458 1829.78,666.368 1831.77,740.382 1833.77,708.573 1835.76,680.602 1837.75,635.69 1839.74,664.496 1841.73,673.715 1843.72,675.052 1845.71,666.502 \n",
       "  1847.7,749.386 1849.69,747.289 1851.68,598.829 1853.67,611.945 1855.66,660.701 1857.66,771.956 1859.65,787.496 1861.64,728.358 1863.63,684.951 1865.62,659.639 \n",
       "  1867.61,690.878 1869.6,616.957 1871.59,551.022 1873.58,596.434 1875.57,712.196 1877.56,678.708 1879.55,558.652 1881.55,618.922 1883.54,764.949 1885.53,731.934 \n",
       "  1887.52,677.849 1889.51,625.252 1891.5,598.537 1893.49,686.813 1895.48,694.063 1897.47,609.931 1899.46,621.364 1901.45,721.39 1903.44,724.864 1905.44,694.897 \n",
       "  1907.43,674.943 1909.42,657.792 1911.41,596.02 1913.4,622.645 1915.39,717.001 1917.38,668.944 1919.37,644.088 1921.36,682.796 1923.35,769.154 1925.34,697.348 \n",
       "  1927.33,604.21 1929.33,693.779 1931.32,756.255 1933.31,749.706 1935.3,709.086 1937.29,713.385 1939.28,756.035 1941.27,758.471 1943.26,697.867 1945.25,642.622 \n",
       "  1947.24,623.113 1949.23,738.446 1951.22,765.081 1953.22,612.071 1955.21,571.138 1957.2,633.734 1959.19,765.191 1961.18,691.303 1963.17,585.235 1965.16,590.486 \n",
       "  1967.15,654.7 1969.14,737.578 1971.13,703.486 1973.12,631.702 1975.11,659.425 1977.11,652.766 1979.1,642.374 1981.09,679.548 1983.08,708.665 1985.07,699.688 \n",
       "  1987.06,704.121 1989.05,713.905 1991.04,830.488 1993.03,802.402 1995.02,743.184 1997.01,727.276 1999,717.164 2001,640.381 2002.99,724.04 2004.98,676.853 \n",
       "  2006.97,670.988 2008.96,804.676 2010.95,871.382 2012.94,806.683 2014.93,618.794 2016.92,650.299 2018.91,725.935 2020.9,724.443 2022.89,657.53 2024.89,633.736 \n",
       "  2026.88,730.941 2028.87,700.688 2030.86,625.571 2032.85,699.725 2034.84,788.05 2036.83,670.784 2038.82,636.098 2040.81,746.96 2042.8,711.866 2044.79,610.086 \n",
       "  2046.78,627.149 2048.78,663.955 2050.77,706.717 2052.76,731.912 2054.75,734.204 2056.74,681.257 2058.73,665.087 2060.72,746.328 2062.71,759.551 2064.7,631.438 \n",
       "  2066.69,641.52 2068.68,752.577 2070.67,716.941 2072.67,615.466 2074.66,575.13 2076.65,714.286 2078.64,646.29 2080.63,626.499 2082.62,654.2 2084.61,679.155 \n",
       "  2086.6,692.985 2088.59,665.81 2090.58,740.794 2092.57,648.324 2094.56,615.655 2096.56,762.636 2098.55,704.978 2100.54,511.909 2102.53,565.727 2104.52,757.25 \n",
       "  2106.51,661.545 2108.5,616.721 2110.49,698.126 2112.48,629.186 2114.47,625.84 2116.46,725.955 2118.45,796.377 2120.45,688.249 2122.44,647.86 2124.43,714.977 \n",
       "  2126.42,806.556 2128.41,700.926 2130.4,662.337 2132.39,683.51 2134.38,725.904 2136.37,770.383 2138.36,650.178 2140.35,602.114 2142.34,707.206 2144.34,756.829 \n",
       "  2146.33,635.979 2148.32,606.867 2150.31,635.505 2152.3,711.168 2154.29,697.412 2156.28,621.754 2158.27,586.616 2160.26,592.983 2162.25,645.053 2164.24,617.702 \n",
       "  2166.23,662.81 2168.23,774.09 2170.22,772.495 2172.21,676.413 2174.2,632.904 2176.19,648.676 2178.18,749.872 2180.17,692.306 2182.16,624.006 2184.15,634.532 \n",
       "  2186.14,716.716 2188.13,605.818 2190.12,571.519 2192.12,691.874 2194.11,731.058 2196.1,624.288 2198.09,622.025 2200.08,635.15 2202.07,688.245 2204.06,743.429 \n",
       "  2206.05,772.348 2208.04,803.629 2210.03,689.369 2212.02,587.828 2214.01,663.669 2216.01,764.788 2218,719.526 2219.99,595.271 2221.98,686.045 2223.97,790.912 \n",
       "  2225.96,759.017 2227.95,695.482 2229.94,673.537 2231.93,674.056 2233.92,585.03 2235.91,562.821 2237.9,669.2 2239.9,702.046 2241.89,755.889 2243.88,750.634 \n",
       "  2245.87,697.799 2247.86,690.785 2249.85,763.421 2251.84,748.433 2253.83,702.004 2255.82,680.697 2257.81,685.224 2259.8,770.555 2261.79,740.335 2263.79,608.589 \n",
       "  2265.78,646.921 2267.77,679.544 2269.76,664.277 2271.75,690.957 2273.74,731.701 2275.73,758.856 2277.72,691.141 2279.71,578.427 2281.7,602.433 2283.69,656.604 \n",
       "  2285.68,675.142 2287.68,653.749 2289.67,637.394 2291.66,668.765 \n",
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       "  872.193,694.492 874.184,738.38 876.175,822.223 878.166,772.124 880.156,818.225 882.147,955.073 884.138,966.881 886.129,858.626 888.12,684.847 890.111,613.786 \n",
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       "  971.735,1070.81 973.726,952.344 975.716,885.418 977.707,819.431 979.698,734.185 981.689,701.138 983.68,598.362 985.671,515.268 987.661,431.318 989.652,449.705 \n",
       "  991.643,421.17 993.634,565.797 995.625,566.245 997.616,585.221 999.606,573.348 1001.6,587.236 1003.59,555.388 1005.58,614.721 1007.57,730.217 1009.56,727.245 \n",
       "  1011.55,599.436 1013.54,533.785 1015.53,480.353 1017.52,546.242 1019.51,523.525 1021.51,647.316 1023.5,634.697 1025.49,414.228 1027.48,504.532 1029.47,634.381 \n",
       "  1031.46,625.938 1033.45,719.12 1035.44,676.247 1037.43,698.778 1039.42,615.627 1041.41,582.157 1043.4,484.625 1045.4,623.993 1047.39,678.603 1049.38,675.575 \n",
       "  1051.37,660.676 1053.36,870.209 1055.35,835.239 1057.34,820.072 1059.33,612.905 1061.32,477.51 1063.31,566.074 1065.3,637.595 1067.29,613.485 1069.29,423.418 \n",
       "  1071.28,337.429 1073.27,329.553 1075.26,356.594 1077.25,394.623 1079.24,543.327 1081.23,718.427 1083.22,798.496 1085.21,841.593 1087.2,1040.31 1089.19,936.051 \n",
       "  1091.18,716.614 1093.18,579.877 1095.17,682.863 1097.16,562.491 1099.15,552.77 1101.14,623.7 1103.13,665.94 1105.12,656.814 1107.11,768.479 1109.1,794.418 \n",
       "  1111.09,715.19 1113.08,539.89 1115.07,549.872 1117.07,565.54 1119.06,508.739 1121.05,489.631 1123.04,440.315 1125.03,658.786 1127.02,652.656 1129.01,791.796 \n",
       "  1131,692.706 1132.99,667.947 1134.98,671.863 1136.97,482.801 1138.96,583.293 1140.96,629.525 1142.95,654.829 1144.94,715.125 1146.93,600.362 1148.92,544.512 \n",
       "  1150.91,613.702 1152.9,720.971 1154.89,696.399 1156.88,794.697 1158.87,825.027 1160.86,872.137 1162.85,824.648 1164.85,772.707 1166.84,609.52 1168.83,735.884 \n",
       "  1170.82,869.496 1172.81,781.066 1174.8,770.63 1176.79,968.716 1178.78,978.697 1180.77,795.008 1182.76,786.228 1184.75,741.028 1186.74,790.334 1188.74,709.799 \n",
       "  1190.73,714.167 1192.72,704.986 1194.71,653.292 1196.7,587.223 1198.69,475.208 1200.68,428.49 1202.67,387.93 1204.66,399.33 1206.65,301.294 1208.64,428.387 \n",
       "  1210.63,395.612 1212.63,399.324 1214.62,451.721 1216.61,552.924 1218.6,510.796 1220.59,583.331 1222.58,420.687 1224.57,416.244 1226.56,530.933 1228.55,552.029 \n",
       "  1230.54,617.118 1232.53,662.056 1234.52,701.522 1236.52,656.194 1238.51,604.4 1240.5,601.475 1242.49,682.774 1244.48,759.169 1246.47,756.978 1248.46,702.701 \n",
       "  1250.45,749.496 1252.44,738.524 1254.43,670.237 1256.42,751.848 1258.41,914.004 1260.41,1065.96 1262.4,1008.18 1264.39,981.252 1266.38,992.859 1268.37,919.286 \n",
       "  1270.36,808.107 1272.35,467.328 1274.34,479.564 1276.33,546.86 1278.32,419.461 1280.31,333.633 1282.3,288.331 1284.3,361.98 1286.29,467.459 1288.28,607.317 \n",
       "  1290.27,652.036 1292.26,770.557 1294.25,651.734 1296.24,646.524 1298.23,600.971 1300.22,613.314 1302.21,536.535 1304.2,527.026 1306.19,456.265 1308.19,561.772 \n",
       "  1310.18,532.519 1312.17,605.608 1314.16,499.933 1316.15,596.221 1318.14,773.765 1320.13,884.165 1322.12,779.9 1324.11,634.391 1326.1,660.66 1328.09,633.19 \n",
       "  1330.08,704.175 1332.08,628.45 1334.07,575.565 1336.06,560.898 1338.05,662.694 1340.04,576.769 1342.03,659.424 1344.02,619.774 1346.01,563.46 1348,537.206 \n",
       "  1349.99,568.79 1351.98,466.788 1353.97,428.103 1355.97,409.859 1357.96,396.38 1359.95,314.999 1361.94,285.719 1363.93,611.018 1365.92,794.332 1367.91,740.292 \n",
       "  1369.9,621.723 1371.89,622.145 1373.88,817.99 1375.87,831.584 1377.86,773.394 1379.86,771.128 1381.85,973.279 1383.84,878.349 1385.83,672.496 1387.82,563.236 \n",
       "  1389.81,431.317 1391.8,477.324 1393.79,529.727 1395.78,593.432 1397.77,683.673 1399.76,762.001 1401.75,774.917 1403.75,698.861 1405.74,689.848 1407.73,786.013 \n",
       "  1409.72,735.265 1411.71,839.211 1413.7,777.915 1415.69,779.061 1417.68,676.828 1419.67,658.489 1421.66,609.109 1423.65,484.347 1425.64,489.761 1427.64,589.834 \n",
       "  1429.63,697.055 1431.62,771.723 1433.61,663.847 1435.6,648.462 1437.59,594.625 1439.58,685.169 1441.57,706.263 1443.56,539.348 1445.55,445.454 1447.54,550.089 \n",
       "  1449.53,676.569 1451.53,712.651 1453.52,902.782 1455.51,845.054 1457.5,884.527 1459.49,696.111 1461.48,563.245 1463.47,585.919 1465.46,721.239 1467.45,760.07 \n",
       "  1469.44,515.165 1471.43,538.757 1473.42,453.362 1475.42,540.967 1477.41,680.234 1479.4,629.533 1481.39,578.804 1483.38,671.95 1485.37,800.386 1487.36,1038.24 \n",
       "  1489.35,1208.07 1491.34,1008.68 1493.33,1017.26 1495.32,889.044 1497.31,826.976 1499.31,607.471 1501.3,438.506 1503.29,175.829 1505.28,348.324 1507.27,503.049 \n",
       "  1509.26,383.409 1511.25,228.623 1513.24,293.268 1515.23,389.945 1517.22,524.785 1519.21,397.862 1521.2,446.615 1523.2,358.434 1525.19,364.552 1527.18,401.341 \n",
       "  1529.17,344.526 1531.16,487.784 1533.15,425.248 1535.14,572.32 1537.13,738.171 1539.12,876.757 1541.11,798.418 1543.1,707.682 1545.09,671.328 1547.09,707.661 \n",
       "  1549.08,546.061 1551.07,572.299 1553.06,599.844 1555.05,682.224 1557.04,715.963 1559.03,828.593 1561.02,964.087 1563.01,1004.22 1565,975.307 1566.99,885.32 \n",
       "  1568.98,1059.43 1570.98,1164.02 1572.97,934.741 1574.96,925.036 1576.95,892.141 1578.94,882.133 1580.93,810.241 1582.92,998.238 1584.91,1201.11 1586.9,975.529 \n",
       "  1588.89,845.694 1590.88,837.486 1592.87,857.549 1594.87,715.415 1596.86,728.251 1598.85,654.877 1600.84,631.125 1602.83,685.097 1604.82,727.839 1606.81,781.678 \n",
       "  1608.8,833.398 1610.79,816.769 1612.78,656.301 1614.77,752.512 1616.76,799.122 1618.76,967.663 1620.75,1088.34 1622.74,1085.34 1624.73,1155.99 1626.72,967.036 \n",
       "  1628.71,1008.81 1630.7,1044.65 1632.69,951.92 1634.68,1080.34 1636.67,1177.07 1638.66,1096.98 1640.65,1013.24 1642.65,887.811 1644.64,829.245 1646.63,772.321 \n",
       "  1648.62,656.434 1650.61,614.44 1652.6,761.256 1654.59,776.222 1656.58,729.927 1658.57,727.628 1660.56,702.191 1662.55,747.243 1664.54,746.437 1666.54,852.614 \n",
       "  1668.53,816.334 1670.52,824.565 1672.51,930.177 1674.5,835.137 1676.49,746.738 1678.48,575.855 1680.47,639.781 1682.46,796.082 1684.45,719.344 1686.44,648.961 \n",
       "  1688.43,509.534 1690.43,577.663 1692.42,757.098 1694.41,715.492 1696.4,858.036 1698.39,799.499 1700.38,788.405 1702.37,669.986 1704.36,684.304 1706.35,640.411 \n",
       "  1708.34,834.802 1710.33,871.719 1712.32,832.316 1714.32,920.792 1716.31,893.02 1718.3,826.227 1720.29,687.2 1722.28,564.151 1724.27,457.381 1726.26,427.151 \n",
       "  1728.25,435.629 1730.24,589.047 1732.23,639.243 1734.22,628.454 1736.21,564.002 1738.21,595.972 1740.2,386.402 1742.19,410.967 1744.18,553.402 1746.17,491.199 \n",
       "  1748.16,565.547 1750.15,760.163 1752.14,745.359 1754.13,788.181 1756.12,785.014 1758.11,780.94 1760.1,936.645 1762.1,1095.33 1764.09,1134.91 1766.08,1147.39 \n",
       "  1768.07,1323.85 1770.06,1386.4 1772.05,1285.62 1774.04,1180.18 1776.03,1163.28 1778.02,1139.54 1780.01,1052.71 1782,812.019 1783.99,748.665 1785.99,704.356 \n",
       "  1787.98,730.907 1789.97,766.887 1791.96,886.704 1793.95,820.321 1795.94,946.365 1797.93,940.012 1799.92,808.053 1801.91,885.589 1803.9,858.439 1805.89,842.63 \n",
       "  1807.88,686.497 1809.88,564.203 1811.87,533.969 1813.86,348.705 1815.85,455.959 1817.84,532.062 1819.83,564.629 1821.82,557.792 1823.81,583.822 1825.8,788.901 \n",
       "  1827.79,745.024 1829.78,614.796 1831.77,489.534 1833.77,475.129 1835.76,585.086 1837.75,695.267 1839.74,585.201 1841.73,448.514 1843.72,289.662 1845.71,390.61 \n",
       "  1847.7,434.265 1849.69,564.634 1851.68,746.805 1853.67,778.267 1855.66,757.106 1857.66,454.917 1859.65,389.299 1861.64,603.956 1863.63,740.9 1865.62,815.445 \n",
       "  1867.61,751.439 1869.6,642.79 1871.59,521.734 1873.58,601.823 1875.57,454.411 1877.56,434.487 1879.55,504.562 1881.55,616.726 1883.54,580.938 1885.53,412.127 \n",
       "  1887.52,524.675 1889.51,674.291 1891.5,744.059 1893.49,669.507 1895.48,578.478 1897.47,508.975 1899.46,607.149 1901.45,502.817 1903.44,520.377 1905.44,578.835 \n",
       "  1907.43,682.751 1909.42,742.356 1911.41,836.155 1913.4,657.401 1915.39,635.549 1917.38,515.007 1919.37,517.537 1921.36,506.731 1923.35,509.531 1925.34,758.067 \n",
       "  1927.33,828.944 1929.33,652.369 1931.32,663.595 1933.31,493.572 1935.3,520.41 1937.29,599.933 1939.28,568.654 1941.27,687.886 1943.26,669.057 1945.25,821.57 \n",
       "  1947.24,821.86 1949.23,721.838 1951.22,605.981 1953.22,565.453 1955.21,828.517 1957.2,853.116 1959.19,601.649 1961.18,473.824 1963.17,631.781 1965.16,665.271 \n",
       "  1967.15,500.145 1969.14,411.818 1971.13,426.706 1973.12,442.675 1975.11,669.462 1977.11,630.851 1979.1,588.452 1981.09,713.423 1983.08,757.545 1985.07,626.259 \n",
       "  1987.06,589.232 1989.05,527.271 1991.04,645.172 1993.03,625.632 1995.02,787.65 1997.01,955.867 1999,1197.48 2001,1243.09 2002.99,1209.37 2004.98,809.928 \n",
       "  2006.97,884.059 2008.96,866.006 2010.95,805.954 2012.94,854.947 2014.93,1011.32 2016.92,1147.42 2018.91,958.204 2020.9,892.398 2022.89,936.636 2024.89,1026.76 \n",
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       "  2046.78,1106.32 2048.78,890.353 2050.77,816.772 2052.76,718.744 2054.75,769.531 2056.74,794.399 2058.73,778.332 2060.72,828.733 2062.71,798.739 2064.7,863.949 \n",
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      ]
     },
     "metadata": {},
     "execution_count": 2
    }
   ],
   "cell_type": "code",
   "source": [
    "# design (evolution) matrix\n",
    "#            Channel 1->    Channel 2->\n",
    "#           t-1  t-2  t-3  t-1  t-2  t-3\n",
    "designer = [0.4 -0.6  0.8  0.0  0.0  0.0;  # -> Channel 1\n",
    "            0.5  0.9  0.0  0.0  0.0  0.7]  # -> Channel 2\n",
    "\n",
    "# data generation\n",
    "n_samples = 128*1024  # number of time steps\n",
    "segment_length = 1024  # segment length\n",
    "noise_cov = MvNormal([0.25 0.0; 0.0 0.64])  # uncorrelated Cov matrix of noise\n",
    "noise = rand(noise_cov, n_samples)'  # sampling from the noise distribution\n",
    "\n",
    "# pre-allocation and initial values\n",
    "signal = zeros(n_samples, 2)\n",
    "signal[1:3, :] = rand(3, 2) + noise[1:3, :]\n",
    "\n",
    "# simulation\n",
    "for t in 4:n_samples\n",
    "    signal[t, :] = designer * reshape(signal[t-3:t-1, :], :, 1) + noise[t, :]\n",
    "end\n",
    "\n",
    "plot(1:segment_length, [signal[1:segment_length, 1], signal[1:segment_length, 2]],\n",
    "     title = \"Signals\",\n",
    "     label = [\"Channel 1\" \"Channel 2\"],\n",
    "     xlabel = \"Time steps\",\n",
    "     ylabel = \"\",\n",
    "     lw = 2)"
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Granger method of causal estimation\n",
    "Granger method can estimate the causal index for a 2-channel signal. The larger the value, the stronger the causal dependence. A positive value indicates the flow of information from channel 1 to 2, and vice versa.\n",
    "We have also included JackKnife method for calculate the standard deviation of error for the estimation."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Granger causality index is 0.596 with std error of 0.005"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "granger_idx, err_std = granger_est(signal, segment_length; order=3, method=\"jackknife\")\n",
    "@printf \"Granger causality index is %.3f with std error of %.3f\" granger_idx err_std"
   ],
   "metadata": {},
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Order as a hyperparameter\n",
    "Since the order (time step delay) in which the signals interact is unknown by us, we have implemented Akaike and Bayesian information criteria to estimate the most informative order."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=2}",
      "image/png": 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      ]
     },
     "metadata": {},
     "execution_count": 4
    }
   ],
   "cell_type": "code",
   "source": [
    "# the range of orders to look into\n",
    "order_range = 1:7\n",
    "\n",
    "# Akaike information criterion\n",
    "aic = granger_aic(signal, segment_length, order_range)\n",
    "\n",
    "# Bayesian information criterion\n",
    "bic = granger_bic(signal, segment_length, order_range)\n",
    "\n",
    "plot(order_range, [aic, bic],\n",
    "     title = \"Akaike vs Bayesian information criteria\",\n",
    "     label = [\"Akaike IC\" \"Bayesian IC\"],\n",
    "     xlabel = \"Order\",\n",
    "     ylabel = \"IC\",\n",
    "     lw = 2)"
   ],
   "metadata": {},
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "source": [
    "---\n",
    "\n",
    "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*"
   ],
   "metadata": {}
  }
 ],
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