{ "metadata": { "name": "", "signature": "sha256:5331fdc0695b8b6b169f60605aac11761a42b4186e8a34760ba6d229288602c3" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Time Series Analysis" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from statsmodels import tsa as ts\n", "import pandas as pd\n", "import numpy as np\n", "from ggplot import *\n", "# Enable inline plotting\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 56 }, { "cell_type": "code", "collapsed": false, "input": [ "d = np.random.normal(size=300)\n", "#D = ts.filters.bkfilter(d, K=8)\n", "\n", "D = ts.ar_model.AR(d)\n", "D.fit()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 63, "text": [ "" ] } ], "prompt_number": 63 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "qplot(y=d, x=xrange(len(d)))+geom_line()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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WLVtizpw5yM/Px4MPPpjsJsWEn3/+GbNnzwbP87j66qvxxBNPJO1FPpryTZs2bRJEKFA3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\nUAUrUfosHvzLPFqQ20Qk4NVE3t9PBLmF8ONjxkdUVKNcLhduu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VHhDQQCLHOAUdQ8tUMJ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\nVM9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"text": [ "" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 49, "text": [ "" ] } ], "prompt_number": 49 }, { "cell_type": "code", "collapsed": false, "input": [ "qplot(y=D, x=xrange(len(D)))+geom_line()" ], "language": "python", "metadata": {}, "outputs": [ { "ename": "TypeError", "evalue": "object of type 'ARResultsWrapper' has no len()", "output_type": "pyerr", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mqplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mD\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mxrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mD\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mgeom_line\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;31mTypeError\u001b[0m: object of type 'ARResultsWrapper' has no len()" ] } ], "prompt_number": 60 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }