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@guidoevers
Created May 1, 2015 09:41
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{
"metadata": {
"name": "",
"signature": "sha256:582df577e47e3b5a01e811c8251882bc9e0c5c94fcf500f3996a71c8b7596cab"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import scipy\n",
"import scipy.fftpack\n",
"import statsmodels.api as sm"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Data Import and Visualization"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Data import\n",
"rawdata = pd.read_csv('exchange.csv', header=0, index_col=0,parse_dates=True)\n",
"\n",
"Rate=rawdata.Rate[365*5-4:]\n",
"\n",
"print('size with NAN =',Rate.size)\n",
"\n",
"# exclude NAN's\n",
"Rate = Rate[numpy.logical_not(numpy.isnan(Rate))]\n",
"print('size without NAN =',Rate.size)\n",
"\n",
"# difference with lag=1\n",
"Rate.diff=diff(Rate, n=1, axis=0)\n",
"\n",
"# Visualize\n",
"fig = plt.figure(figsize=(16,4))\n",
"plt.plot(rawdata.Rate.index, rawdata.Rate,'b-',alpha=0.2, label='all data')\n",
"plt.plot(Rate.index, Rate,'r-',alpha=1.0, label='used data')\n",
"plt.legend()\n",
"plt.title('Exchange rate USD/EUR')\n",
"plt.xlabel('Time')\n",
"plt.ylabel('Rate')\n",
"plt.grid()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"size with NAN = 2434\n",
"size without NAN = 2385\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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eey1lZWUsXLiQvfbaK1U+ZcoUfvjhB0pKSjjiiCM49thj06513XXXceutt9Kp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\nYEsKKwAAAFtSWAEAANjSLwul4LxUV0L+AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10c0e4d30>"
]
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Spectrum analysis"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Spectrum Analysis\n",
"\n",
"fft = abs(scipy.fft(Rate.diff))\n",
"ps = abs(scipy.fft(Rate.diff))**2\n",
"freqs = scipy.fftpack.fftfreq(Rate.diff.size,1)\n",
"idx = np.argsort(freqs)\n",
"\n",
"fig = plt.figure(figsize=(12,6))\n",
"plt.plot(Rate.index, Rate)\n",
"plt.title('Used Data')\n",
"plt.xlabel('Time')\n",
"plt.ylabel('Exchange Rate')\n",
"plt.grid()\n",
"\n",
"fig = plt.figure(figsize=(8,12))\n",
"\n",
"plt.subplot(211)\n",
"plt.plot(freqs[idx], fft[idx])\n",
"plt.xscale('log') \n",
"plt.grid(which='both')\n",
"plt.title('Amplitude spectrum')\n",
"plt.xlabel('Frequency 1/day')\n",
"\n",
"plt.subplot(212)\n",
"plt.plot(freqs[idx], ps[idx])\n",
"plt.xscale('log')\n",
"plt.grid(which='both')\n",
"plt.title('Power spectrum')\n",
"plt.xlabel('Frequency 1/day')\n",
"\n",
"plt.show()\n",
"print('max frequency',max(freqs))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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rgG++CT/Wq6/S9IQTbGu+IX4/t5yG7WMO28cc1jQzjAVWrzb/vFs3YOlSuvGq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\n",
"text": [
"<matplotlib.figure.Figure at 0x10c345b70>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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arUEfdJBt64knnHXyAIqsQYOIngXwrGvfbdr7NQA+k/qXAsMkxG8VMQBoaJBr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\nLvuFLxT/WFEHir39tnxaUNAazHEZPFiuuLXvvv5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kdLBXX/VvZ3LQSTRo3UGr8uZmqeUu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\nPyja2oCf/tTXbADAUUe5lxNu98mZlKT1RS8X5T3a9Xh2pqFwDjpvvPa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qjh51UYNuYs47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\n7rbvtdcq0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sm56OUrqUyfN6+E116rzB+1/fzSg8p7tZ+1r1QqYVr0XxzBBM3BArAjgEcd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\n",
"text": [
"<matplotlib.figure.Figure at 0x10c285ac8>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"max frequency 0.499580536913\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"PDF"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"num_bins = 50\n",
"\n",
"fig = plt.figure(figsize=(8,12))\n",
"plt.subplot(211)\n",
"hist(Rate,num_bins)\n",
"plt.xlabel('exchange rate')\n",
"plt.ylabel('samples')\n",
"plt.grid()\n",
"plt.subplot(212)\n",
"hist(Rate.diff,num_bins)\n",
"plt.xlabel('difference')\n",
"plt.ylabel('samples')\n",
"plt.grid()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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c4HZdyaCqYw1f29LlU3nJ7WQNfxGW9yGGoS/vQwz9rvHXVMP3LH3tQPmzTiVJ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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10c429048>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Discrete CDF\n",
"\n",
"num_bins = 100\n",
"dx=1 # 1 day\n",
"n, bins = np.histogram(Rate, bins=num_bins, normed=True)\n",
"n /= (dx*n).sum()\n",
"cdf = np.cumsum(n*dx)\n",
"\n",
"fig = plt.figure(figsize=(8,6))\n",
"plt.plot(bins[1:], cdf, '.')\n",
"plt.grid(which='both')\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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rc1wZuiDpeXd/WdLLZvankt4mad/CvOqp7Ick3SG9dqrY1MNI8Br+tF7BzL5d\n0h9Keo+7P1P3eHJlZv949AQoM3uHJFGUr+Tub3D373D371DRZ/5ZivJ0ZnbNxGfqBhXbbynKV/qf\nkv6pmR0yszUV75v40qy/YKlPzGb2u5JulHS1mV2QdI+Kx3gOI5lQlZOZ/UNJfy7pWyV908x+XtL1\n7v5SXWOuS1VWkn5J0usl3Tf6b8Qr7n5DTcOtTSCnH5d0h5m9IuklSf+6rrHWKZATRgJZvVvSz5rZ\nq5K+IT5T+9W9p8zsEUlfkPRNSQ+4+8zCzAEjAABkZNVT2QAAYAYKMwAAGaEwAwCQEQozAAAZoTAD\nAJARCjMAABmhMAMAkBEKMwAAGfn/iqlp3N3IYB0AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10c9c0c50>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"CDF and ECDF"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# CDF and ECDF\n",
"\n",
"fig = plt.figure(figsize=(8,6))\n",
"\n",
"sorted_data = np.sort(Rate)\n",
"yvals=np.arange(len(sorted_data))/float(len(sorted_data))\n",
"plt.plot(sorted_data,yvals,'-',label='CDF')\n",
"\n",
"ecdf = sm.distributions.ECDF(Rate)\n",
"x = np.linspace(min(Rate), max(Rate))\n",
"y = ecdf(x)\n",
"plt.step(x, y,'r',label='ECDF')\n",
"\n",
"plt.grid(which='both')\n",
"plt.title('Exchange rate')\n",
"plt.xlabel('exchange rate')\n",
"plt.ylabel('[-]')\n",
"plt.legend(loc=0) \n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Vr361wUVy6qk3jvp64ShP4RVCro45Bg49FHbYARYtgsydtnlVCHkqZOkefo/RUUcdRfPm\nzddvH3bYYUycOJFXXnmFq666ij333JOVK1fSvXt3Tj75ZHr16rV+3969e2NmtGrVij59+nDLLbdw\n0kknbXB8a6rWgoikQ2lp0DevQYWV0Ls3PPQQtGmTx7gkrzRNbMopRyJFotq87e7w8MNw6aXQoQNM\nmQLf/36M8Um9aD11EREB4OOP4Wc/C/rnd9wBP/5x0103LMmmnroUJfX1wlGewktKrtyDFdU6dYK5\nc+HII5NV0JOSp7RSURcRSYlFi+D00+Gzz+Cee6Bt27gjknxTTz3llCORImFGh/bOiSfC6NFBH10K\nl5ZeFREpQl99BRdeGHz/7LNw770q6MVMRV2Kkvp64ShP4UWeqxrmbu/Q0bjtT8a3nUrYa69oQ2gK\n+kxFS0VdRKQQVJu7/asVzlY9nPvuDbabL9W87ZKCnrrUrRD+G4tIHbLuQ3eHs8+GTz6BJ5+MOS6J\nRFHep65iJSLF6Pbbg/XP33kn7kgkaTT8niLqVYWnXIWjPIWXr1w98QQMHw5jxkDWchAFQ5+paKmo\ni4gUiAceCFZY+7//CxZmEamuoHvqIiLFYMkS6LKZ0aO7M2EC7LNP3BFJ1BraU1dRFxGJWx0rrAF8\n1aoEKy+nffs8xSSx0uQzol5VPShX4ShP4TUqV9VuV6t6DL/C+f62zltvOh2+TkdB12cqWgV99buI\nSBpVVsIll8CkSfD887DttnFHJIVCw+8iInGrthb6tdfChAnw3HPByLwUH/XURUQKVVZR//pr6N4d\nXn0Vttsu5rgkNuqpi3pV9aBchaM8hdcUuVq7Fs47D/beO70FXZ+paKmnLiKSAO5w0klQXg4PPxx3\nNFKoNPwuIhI3M0aNdB59FF56Cdq1izsgiZt66iIihcqMks7O7NlBP10kkT11MxtoZu+Z2QdmdnmO\n17uY2dNmNtPMZpvZ0CjjSTv1qsJTrsJRnsJraK6qzldOOqk4Cro+U9GKrKibWXPgT8BAYCdgsJnt\nWG23C4C33b0PMAC40czU5xeRdCktDa5wz/GwZsay5iXceGPcQUoaRDb8bmZ7A1e7+8DM9q8A3P0P\nWfucC+zq7ueb2bbA0+6+fY5jafhdRApXtfvQAebOhVtugccfhxdf1AQzsqEkDr93BxZkbS/MPJft\nbmBnM1sMvAP8PMJ4REQS4c03Yd99oWPH4H50FXRpKlEW9TCn1sOBme6+JdAHuN3MOkYYU6qpVxWe\nchWO8hRe2Fx9+CEcdRSMHAl//CNstVW0cSWNPlPRirJ/vQjI/rhuRXC2nm0f4BoAd//QzP4D7ADM\nqH6woUOH0rNnTwA6d+5Mnz59GDBgAPDdh6TYt6skJZ4kb8+cOTNR8Wi78Ler1Lg/sHQp7LVXGYMG\nwXnnJSv+fG3PnDkzUfEkZbvq+/nz59MYUfbUWwBzgYOBxcB0YLC7z8na5yZgmbv/1sy6Am8S9NjL\nqx1LPXURKVyZnvoxx8AWW8Bdd8UdkCRdQ3vqkZ2pu/s6M7sAmAo0B8a4+5zMxXG4+13A74H7zOwd\nglbAZdULuohIGowaFVwcN3583JFImkV6n7q7P+XuO7h7L3e/NvPcXZmCjrsvcfej3L23u+/i7uOi\njCftqg8DSs2Uq3CUp/BqytWXXwZfZ86Ehx6Ctm3zF1MS6TMVLd0TLiLSWKWlUFGR86VNgZWtS5g4\nMb8hSXHSNLEiIo2V4z50gBdegMGDYfZsrYsu9ZPE+9RFRIrWpEnB1K+XXKKCLvmjop4i6lWFp1yF\nozyFV5Wrykq46SY49VS45x646KJ440oafaaipZ66iEgT+fJLOOUUWLAA3n4btt9o0muRaKmnLiLS\nWGa8P9c5/XT4wQ9g9OhgCliRhlJPXUQkRgcdBIceGkwso4IucVFRTxH1qsJTrsJRnmo3fz6cc07w\n/dChZYwcCa1axRpS4ukzFS311EVE6lLDfeg9gb8AlZ1LOOSQfAclsjH11EVE6lLtPvQXXoATT4Qf\n/xjGjAleFmlKiZv7XUQkjV56CY48EiZMgEGD4o5GZEPqqaeIelXhKVfhKE8beu214Ow8V0FXrsJR\nnqKlM3URkRCmT4eDD4bbbtMZuiSXeuoiInUxo8umzo03wumnxx2MFAPdpy4iEoGqi97PPlsFXZJP\nRT1F1KsKT7kKp9jz9NFHcOCBwfejRtW+b7HnKizlKVrqqYtIcatlLfRtgZmAl5TQsmVeoxJpEPXU\nRaS41bAW+h/+AK+/HiyhqvvQJd8a2lNXUReR4pajqH/4Iey8Mzz5ZDCnu0i+6UI5Ua+qHpSrcIox\nTzNnQq9eMGxY/Qp6MeaqIZSnaKmoi4hkrFkTXOU+ahT88Y9xRyNSfxp+F5HiljX8/rvfwcsvB8Pu\nzXTKIzHS3O8iIo3w8stw/fXBYi0q6FKo9NFNEfWqwlOuwimWPC1dCoMHw803Q58+DTtGseSqsZSn\naKmoi0jRGz8edtoJzjgj7khEGkc9dREpbmZ028K57z4YODDuYEQCuqVNRKSBdt8dDj887ihEGk9F\nPUXUqwpPuQqnWPI0bFjjZ40rllw1lvIULRV1ESlaCxcGX/fbL944RJqKeuoikm61LNgCsLJ1Ce3X\nlOcxIJG6qacuIpJLRUUwuUy1x2efOqUlztIPVdAlPVTUU0S9qvCUq3DSnKerroKTT4bu3ZvmeGnO\nVVNSnqKlGeVEpOhccw08/DDMnh13JCJNSz11EUm3akurzp8Pu+4K774LPXrEF5ZIbbSeuohILtWK\n+i9+EWzeemuMMYnUQRfKiXpV9aBchZO2PN13H0yaBMOHN/2x05arqChP0VJRF5GiUFkZ9NLvvhu6\ndo07GpFoaPhdRNItM/z+4IPwxz/CW281fvY4kahpPXURkRosWhT00idPVkGXdNPwe4qoVxWechVO\nWvJ0/vlw4omwzz7R/Yy05CpqylO0dKYuIqn30kvBrWwiaaeeuoikmxk33uBcfHHcgYiEp1vaRESq\nWbky+HrMMfHGIZIvKuopol5VeMpVOAWRp9LS4Oq3HI/2HYwVLUro1Sv6MAoiVwmgPEVLPXURKWxV\nq7DlMGwYdOoEo/Ickkhc1FMXkcJWbRrYKt98A126wHvvwZZbxhCXSCOopy4ikmX6dOjZUwVdiouK\neoqoVxWechVOIedp/Hg46aT8/bxCzlU+KU/RUlEXkdRZtw6mTIFBg+KORCS/1FMXkcKWo6f+/PNw\n2WUwY0ZMMYk0knrqIiIZd98NRx4ZdxQi+aeiniLqVYWnXIVTiHlauBCmTg3me8+nQsxVHJSnaKmo\ni0iqjBkDQ4bAZpvFHYlI/qmnLiKFrVpPff/9YfhwXSQnha2hPXUVdREpbFlFffVq6NYN5s0LJp4R\nKVS6UE7Uq6oH5SqcQsvTv/8NW28dT0EvtFzFRXmKloq6iKTGM89Anz5xRyESHw2/i0hhywy/V1ZC\n+/bw8svQt2/cQYk0TiKH381soJm9Z2YfmNnlNewzwMzeNrPZZlYWZTwikl5VC7eooEsxi6yom1lz\n4E/AQGAnYLCZ7Vhtn87A7cBR7v5D4ISo4ikG6lWFp1yFU0h5euop2Hvv+H5+IeUqTspTtKI8U+8P\nzHP3+e6+FhgPHFNtn5OBie6+EMDdl0QYj4iklDv89a8wdGjckYjEK7KeupmdABzu7v+b2R4C7Onu\nF2btczPQEtgZ6Ajc6u5jcxxLPXURyc2MN6Y7J50U3Mpm9e5CiiRPQ3vqLaIIJiNMFW4J7A4cDLQD\nXjWz19z9gwjjEpGU+dvf4PTTVdBFoizqi4Ctsra3AhZW22cBsMTdVwOrzexFoDewUVEfOnQoPXv2\nBKBz58706dOHAQMGAN/1aIp9u+q5pMST5O2ZM2fyi1/8IjHxJHW7+mcr7nhybgOPPVbG2LHxxlP1\nXOz5SPj2Lbfcon+/c2xXfT9//nwaI8rh9xbAXIKz8MXAdGCwu8/J2ucHBBfTHQ60Bl4Hfuru71Y7\nlobfQygrK1v/QZHaKVfhFESezOi7uzNjRrxn6gWRqwRQnsJJ5DSxZjYIuAVoDoxx92vN7FwAd78r\ns88lwBlAJXC3u4/OcRwVdRHJzYz77nXOOCPuQESaTiKLelNRUReRXB59FH5yrLFmtdOmTdzRiDSd\nRE4+I/mV3ZuR2ilX4SQiT6Wlwbh6jsdPjjXWtCtJREFPRK4KgPIULRV1EUm2iorgRvRqjyVfON22\ncD54rTzuCEUSQ8PvIpJs1dZLr3L55bBsGfz5zzHEJBKxJN6nLiISiW++gfvugwkT4o5EJFk0/J4i\n6lWFp1yFk9Q8Pfgg9OgBBxwQdyTfSWqukkZ5ipaKuogUnDvugN//HprpXzCRDainLiLJVq2nvmYN\ndO0K//lPcGG8SBrpljYRKQqPPgq77aaCLpKLinqKqFcVnnIVThLzNHkynHxy3FFsLIm5SiLlKVoq\n6iJSMD7+GKZNg+OOizsSkWRST11Eki2rp3755VBZCddfH3NMIhHTfeoikmr/+U9wb/rTT8cdiUhy\nafg9RdSrCk+5CidJebr+ejj7bNh997gjyS1JuUoy5SlaOlMXkcT74gu4/36YPTvuSESSTT11EUk2\nM2660XnlFXjkkbiDEckPracuIulkRts2zosvwh57xB2MSH5o8hlRr6oelKtw4s5TRUXwdfjw5Bf0\nuHNVKJSnaKmoi0hi3XFH8PVXv4o3DpFCoeF3EYlPael3p+M1WLdJCS2WlecpIJFk0PC7iBSeiopg\nYpkcj4mPOPvs7SroIvWgop4i6lWFp1yFE1eeVq2Cq68OZpArFPpMhaM8RUtFXUQSZfVqOPxw2H57\nOProuKMRKSzqqYtIfKqtlQ5w1VXwwgvw3HPQqlVMcYnETPepi0jhqVbU//tf2GUXeOcd2GabGOMS\niZkulBP1qupBuQon33m67jo45ZTCLOj6TIWjPEVLc7+LSCK8/DKMGwczZ8YdiUjhqnX43cweD3GM\ncnc/velCyhmHht9F0ihr+P2UU2C33eCSS2KOSSQBIumpm9kHwNlArgN75vnb3X3n+v7g+lBRF0mp\nTFF/91048EB4913YdNO4gxKJX1Q99avc/QV3L8vxeMHdy4CRDYpYmpx6VeEpV+HkK0+33QbnnlvY\nBV2fqXCUp2jV2lN394eqP2dmW7j7p7XtIyIS1rp1MGkSvPZa3JGIFL5639JmZm+5++4RxVPTz9Tw\nu0gamfHiC84558B778UdjEhy5POWtnr/EBGRmrz6ajCDnIg0XkOK+j1NHoU0CfWqwlOuwslHnv78\nZzjiiMh/TOT0mQpHeYpWrUXdzN6q/py7317XPiIiYbVsqTN1kaZS1y1tq4F5dRyjk7t/r0mj2jgO\n9dRFUsYdrJkx8rfOb34TdzQiyRLVfeo9QxxjnbsvrO8Prg8VdZECVVoarJlegworYZO15TRvnseY\nRApAJBfKufv8EI9IC7qEp15VeMpVOI3OU0VFcEqe43Hez5wbrkhPQddnKhzlKVqa+11E8u7jj+Gh\nh2Du3LgjEUkXLb0qItHJsV46wJFHwp57wq9/HUNMIgWgocPvOlMXkbwqK4NZs+CBB+KORCR9tJ56\niqhXFZ5yFU5T52n5cjj/fBg+HDp1atJDx06fqXCUp2ipqItI3lxxBXTrFizeIiJNTz11EYlOtZ76\ndtvB2LGw114xxiRSAPI597uISL3Nmweffw79+8cdiUh6qainiHpV4SlX4TRlnh55BE46CZql9F8d\nfabCUZ6ildL/vUQkaR54AA4+OO4oRNJNPXURiU6mpz5tGhx3HCxblt4zdZGmpPvURSSRvvoKBg2C\nJ55QQReJmv4XSxH1qsJTrsJpijxNmxZc7T5wYOPjSTJ9psJRnqKlM3URidTPfgZ/+1vcUYgUB/XU\nRSQ6Zpw6xBk7Nu5ARApLJOupJ4WKukjh+fxz2Lyr8e6/nZ12ijsakcKiyWdEvap6UK7CqTNPpaXB\nFe45Hpt3Nb5qVVI0BV2fqXCUp2ipqItIw1VUBNPAVnvM/4+zaamzZG553BGKFBUNv4tIw9WwXvrw\n4bByJdx6awwxiaSAeuoikn85inplJWy5JTz3HOy8c0xxiRQ49dRFvap6UK7CaUiepk6Frl2Lr6Dr\nMxWO8hRKv0FRAAAYlUlEQVQtFXURaVI33QSXXBJ3FCLFKdLhdzMbCNwCNAfucffrathvD+BV4ER3\nn5TjdQ2/iyRRteH3zz6DH/wAFi6E9u1jjEukwCVu+N3MmgN/AgYCOwGDzWzHGva7DngaqPcvICLJ\nMXUqHHCACrpIXKIcfu8PzHP3+e6+FhgPHJNjvwuBR4AvIoylKKhXFZ5yFU598vTllzBqFJx5ZnTx\nJJk+U+EoT9GKsqh3BxZkbS/MPLeemXUnKPR3Zp7SGLtIgbr7bujfH47J9ae7iORFZD11MzseGOju\n/5vZHgLs6e4XZu3zMHCDu79uZvcDj7v7xBzHUk9dJIkyPfXKyuBq97/8BfbfP+6gRApfEtdTXwRs\nlbW9FcHZera+wHgzA+gCDDKzte4+pfrBhg4dSs+ePQHo3Lkzffr0YcCAAcB3wzna1ra249l+9VVo\n23YA++2XjHi0re1C2676fv78+TRGlGfqLYC5wMHAYmA6MNjd59Sw/30EZ+q6+r2BysrK1n9QpHbK\nVTh15smM1aucPfaAs8+GX/wib6Eljj5T4ShP4STuTN3d15nZBcBUglvaxrj7HDM7N/P6XVH9bBHJ\nn2efhZYt4fzz445ERDRNrIg0nBmXXOx06gS//nXcwYikR+LuUxeR4jBuHAwcGHcUIgIq6qmSfcGF\n1E65CidMngYMgD32iDyUxNNnKhzlKVoq6iLSKD/5SdwRiEgV9dRFpEFWr4a27YxFC53u3eveX0TC\nU09dRPLqttuCryroIsmhop4i6lWFp1yFU9axYzBrXI7HZZcb33YqiTvExNBnKhzlKVpRzignIoXu\nq682WFq1yrBhwUps114bQ0wiUiP11EWkZtXWS4dgs2NHeOst2H77mOISSTn11EUkL/7xD+jRA7bb\nLu5IRKQ6FfUUUa8qPOUqnLIcz91wA5x3XnASL9/RZyoc5Sla6qmLSGgzZ8LzzwezyIlI8qinLiI1\ny+qpu8OPfgQnnBBcKCci0WloT11FXURqllXU33wTjjsOPvoImjePOS6RlNOFcqJeVT0oV+GUZb6u\nWQOnnAJXXKGCXhN9psJRnqKloi4idfr736FnT/jZz+KORERqo+F3EalZZvh9v/3gwgvhpz+NOyCR\n4qDhdxGJxKRJ8PHHcMQRcUciInVRUU8R9arCU67CKQMuvRTuvz+YRU5qps9UOMpTtFTURaRWO+0E\nBx0UdxQiEoZ66iKSkztYM2PGG06/fnFHI1Jc1FMXkSb19NPB1912izcOEQlPRT1F1KsKT7kCSktr\nXCsdMwYdYUxr00H3pYekz1Q4ylO0VNRFilVFRTDGnuPx+WdO506OP/Z43FGKSD2opy5SrHKslV5l\n1Ch491148ME8xyQiQMN76lqlTUQ28O9/w+jR8PLLcUciIvWl4fcUUa8qPOUqt9Wrgznef/c72GEH\n5ak+lKtwlKdoqaiLyHqTJsFmm8E558QdiYg0hHrqIsUqR0/96KPh+OPh9NNjiklEAK2nLiL1Va2o\nL10K22wD8+bBppvGGJeIaPIZUa+qPpSrjT37LPTrt2FBV57CU67CUZ6ipaIuIgBMmADHHBN3FCLS\nGBp+FylWWcPvq1fDFlsEt7P16BFzXCKi4XcRabhx42CXXVTQRQqdinqKqFcVnnK1oUcfhVNP3fh5\n5Sk85Soc5SlaKuoiRe7552HWLDjppLgjEZHGUk9dpFiZsWa107UrPPQQDBwYd0AiUkU9dRGpt/vv\nh333VUEXSQsV9RRRryo85Srw+9/Db35T8+vKU3jKVTjKU7RU1EWKWN++sNdecUchIk1FPXWRIjRr\nFuza25jxhtOvX9zRiEh1mvtdRDZUWgoVFTW+vKZdCW1WlucxIBEJSxfKiXpV9VAUuaqoCGaMy3p4\npfPTE52hpzutv6q7oBdFnpqIchWO8hStFnEHICL5M21aMPQ+Y0YwS6yIpIuG30XSKsd66cOGQefO\nMHJkTDGJSCjqqYvIhnKsl96zJ7z9drBuuogkl3rqol5VPRRjrq6/Ho44on4FvRjz1FDKVTjKU7TU\nUxcpAuXlcMcdMHt23JGISJQ0/C6SVlnD71deCZ9+CmPGxByTiISinrqIbCirqG++Obz8Mmy/fcwx\niUgo6qmLelX1UEy5mjULWreGXr3q/95iylNjKVfhKE/RUlEXSbnbboNTToFm+r9dJPU0/C6SVmb8\nd77Tt29wgdwWW8QdkIiEpeF3EdnI5Mlw5JEq6CLFQkU9RdSrCq9YcjVxIvzP/zT8/cWSp6agXIWj\nPEVLRV0kxf79bzjooLijEJF8UU9dJIXcwZoZkyc5xx4bdzQiUl+6T11E1nvlFdhnX8MrXauxiRQg\nXSgn6lXVQypyVVoaTDCT47HPvsbqtiWNLuipyFOeKFfhKE/Riryom9lAM3vPzD4ws8tzvH6Kmb1j\nZrPM7J9mtmvUMYmkQkVFMM5e7fH1GqfTJs7if5XHHaGI5Fmkw+9m1hyYCxwCLALeAAa7+5ysffYG\n3nX3ZWY2EBjh7ntVO46G30Wqy7FeOsCDD8K998K0aTHEJCJNIqnD7/2Bee4+393XAuOBY7J3cPdX\n3X1ZZvN1oEfEMYmk2v33BzPIiUjxibqodwcWZG0vzDxXk7OAJyONKMXUqwovrbl6+GF47z04+eSm\nOV5a8xQF5Soc5SlaUa+nHnrM3MwOBM4E9o0uHJH0coczzoBJk6BVq7ijEZE4RF3UFwFbZW1vRXC2\nvoHMxXF3AwPdvSLXgYYOHUrPnj0B6Ny5M3369GHAgAHAd3/5aVvb9dmukpR46r1dLX73AbRrB61a\nlVFW1jQ/b8CAAcn5fbWdiu2q55IST1K2q76fP38+jRH1hXItCC6UOxhYDExn4wvlvgc8Dwxx99dq\nOI4ulBOpLutCOXfYc0/45S9h8OCY4xKRRkvkhXLuvg64AJgKvAs85O5zzOxcMzs3s9tvgBLgTjN7\n28ymRxlTmmX/xSe1S1uuJkyAtWvhpz9t2uOmLU9RUq7CUZ6iFfXwO+7+FPBUtefuyvr+bODsqOMQ\nSbPbb4fLL9ea6SLFTtPEihSqzPD7U0/BBRfArFnQvn3cQYlIU0jk8LuIRO+yy2D0aBV0EVFRTxX1\nqsJLS66eegrKy2HgwGiOn5Y85YNyFY7yFC0VdZEC9v/+H4wZA82bxx2JiCSBeuoihcqMIwY5T2oO\nRpHUUU9dpIi8/Xbw9eab441DRJJFRT1F1KsKryByVct66bvtbqxqU8IOO0QbQkHkKSGUq3CUp2ip\nqIskVQ3rpd95h7P5Zs7SD7VeuohsSD11kaTKsV76P/4BRxwBb7wBP/xhTHGJSOTUUxdJuddeg7PP\nhr/8RQVdRHJTUU8R9arCK7RcLV8Op54KP/85DBmSv59baHmKk3IVjvIULRV1kYT75ptg5bV99oEL\nLwxG5UVEclFPXSSpMj31m2+Gxx+HqVOhZcu4gxKRfGhoTz3yVdpEpOEWLw7uRX/gARV0Eambht9T\nRL2q8AolV8cdF/TS998/np9fKHlKAuUqHOUpWirqIgnWogX89rdxRyEihUI9dZEEWr4cNulkvFDm\n/OhHcUcjIvmm+9RFUuSSS4K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"text": [
"<matplotlib.figure.Figure at 0x10e2e1128>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# CDF and ECDF difference\n",
"\n",
"fig = plt.figure(figsize=(8,6))\n",
"\n",
"sorted_data = np.sort(Rate.diff)\n",
"yvals=np.arange(len(sorted_data))/float(len(sorted_data))\n",
"plt.plot(sorted_data,yvals,'-',label='CDF')\n",
"\n",
"ecdf = sm.distributions.ECDF(Rate.diff)\n",
"x = np.linspace(min(Rate.diff), max(Rate.diff))\n",
"y = ecdf(x)\n",
"plt.step(x, y,'r',label='ECDF')\n",
"\n",
"plt.grid(which='both')\n",
"plt.title('Difference lag = 1 day')\n",
"plt.xlabel('exchange rate')\n",
"plt.ylabel('[-]')\n",
"plt.legend(loc=0) \n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ezO5rwzoWuvup5QupZBzqyYvUqvp6aGho8eUPN6hj4+ULKxiQSHjl6sl3Wcfr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\n",
"text": [
"<matplotlib.figure.Figure at 0x10e5946d8>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Tail analysis\n",
"fig = plt.figure(figsize=(12,6))\n",
"plt.plot(sorted_data,1-yvals,'-',label='CDF')\n",
"plt.yscale('log') \n",
"plt.grid(which='both')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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XvgY77wwPP9yRl801j/3ic/EsSZLa6vOfh0MOgfPOS92J1DxnniVJUttNngzf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\nJEmSGuTiWZIkSWqQi2dJkiSpQf8fUZD1TjShLt4AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10e44b160>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from scipy import stats\n",
"# chi test\n",
"stats.chisquare(Rate)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 9,
"text": [
"(15.565599027844499, 1.0)"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# ks test\n",
"stats.kstest(Rate, 'norm')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 10,
"text": [
"(0.85433306791491792, 0.0)"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Rate.diff"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 11,
"text": [
"array([ 0.0049, 0.0208, 0.0005, ..., -0.0002, 0.0105, 0.0075])"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Rate.values.squeeze()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 12,
"text": [
"array([ 1.1826, 1.1875, 1.2083, ..., 1.0822, 1.0927, 1.1002])"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# ARMA test\n",
"fig = plt.figure(figsize=(12,8))\n",
"ax1 = fig.add_subplot(211)\n",
"fig = sm.graphics.tsa.plot_acf(Rate.values.squeeze(), lags=100, ax=ax1)\n",
"plt.grid()\n",
"ax2 = fig.add_subplot(212)\n",
"fig = sm.graphics.tsa.plot_pacf(Rate, lags=100, ax=ax2)\n",
"plt.grid()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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MB3p3wGJRMBYRySK43FQyHWaTySCc7tixI72dTI6kywcefvhphoaSYZhNptt/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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10cdd4e10>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"arma_mod20 = sm.tsa.ARMA(Rate, (2,0)).fit()\n",
"print(arma_mod20.params)\n",
"arma_mod30 = sm.tsa.ARMA(Rate, (3,0)).fit()\n",
"print(arma_mod30.params)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"const 1.295958\n",
"ar.L1.Rate 0.996026\n",
"ar.L2.Rate 0.001165\n",
"dtype: float64\n",
"const 1.296577\n",
"ar.L1.Rate 0.996042\n",
"ar.L2.Rate 0.007760\n",
"ar.L3.Rate -0.006642\n",
"dtype: float64"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sm.stats.durbin_watson(arma_mod30.resid.values)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
"1.9351854783718594"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(12,8))\n",
"ax = fig.add_subplot(111)\n",
"ax = arma_mod30.resid.plot(ax=ax);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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V/03PMl23oUGupkhQXbXpHgD4/POq9fpZ4QL79DH7NPtQ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\nDAAAALTx/wHe4ZCVD4ztZAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10c8c76a0>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"resid = arma_mod30.resid\n",
"scipy.stats.normaltest(resid)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 17,
"text": [
"(863.68765595224681, 2.8353616828214213e-188)"
]
}
],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from statsmodels.graphics.api import qqplot\n",
"\n",
"fig = plt.figure(figsize=(12,8))\n",
"ax = fig.add_subplot(111)\n",
"fig = qqplot(resid, line='q', ax=ax, fit=True,)\n",
"plt.grid()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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+XuBljLGKHobpZZDId+nmBVZzPwfL+s0TpJ3kpyv8fmtI+xqHp60nAj8hHYV3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\nWpIkSZqFHWpJkiSpzhyoZdcqM/PMyzz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dERERETGAJNQREV1Ien3rvbiPS/prLe+S9NBe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\ndURERETEAP4LBCWFqa+HImwAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10c2ea7b8>"
]
}
],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Robust regression\n",
"modified from source: http://statsmodels.sourceforge.net/devel/examples/notebooks/generated/robust_models_0.html"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Robust regression\n",
"\n",
"y=sorted_data\n",
"x=yvals\n",
"\n",
"# least mean sum squares\n",
"res = sm.OLS(y,x).fit()\n",
"print(res.params)\n",
"print(res.bse)\n",
"\n",
"# least median sum squares\n",
"resrlm = sm.RLM(y, x).fit()\n",
"print(resrlm.params)\n",
"print(resrlm.bse)\n",
"\n",
"# plots\n",
"fig, ax = plt.subplots(figsize=(12,6))\n",
"ax.plot( sorted_data, yvals,'.',label='CDF')\n",
"ax.plot( sorted_data, res.fittedvalues, 'r-', label=\"OLS\")\n",
"ax.plot( sorted_data, resrlm.fittedvalues, 'g.-', label=\"RLM\")\n",
"legend = ax.legend(loc=\"best\")\n",
"plt.grid(which='both')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 0.00672381]\n",
"[ 0.00026758]\n",
"[ 0.00613734]\n",
"[ 0.0002212]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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E9k0KziRzd4sK09ra2ndAIV5k7xf5l1fhnS1aWqSlS/uXyd8fsveL/P0q+5lk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\nH1+tzMTK+VXeSEXyfpI25i1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"text": [
"<matplotlib.figure.Figure at 0x10e57e748>"
]
}
],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
}
],
"metadata": {}
}
]
}
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