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沖本竜義『経済・ファイナンスデータの計量時系列分析』の章末問題
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# 経済・ファイナンスデータの計量時系列分析" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "* [Amazon](https://www.amazon.co.jp/gp/product/4254127928/ref=as_li_ss_tl?ie=UTF8&ref_=nav_ya_signin&&linkCode=ll1&tag=sankichi92-22&linkId=cda8aa8cd64ad2bda6a911e37a8c9ca1)\n", | |
| "* [著者のページ](http://www.geocities.jp/tatsuyoshi_okimoto/books/tsa.html)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## 目次" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "1. [時系列分析の基礎概念](#1.-時系列分析の基礎概念)\n", | |
| "2. [ARMA 過程](#2.-ARMA-過程)\n", | |
| "3. 予測\n", | |
| "4. [VAR モデル](#4.-VAR-モデル)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "import numpy as np\n", | |
| "from pandas import DataFrame, Series, read_excel\n", | |
| "from statsmodels.tsa.api import stattools, AR, ARMA, VAR\n", | |
| "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n", | |
| "from statsmodels.stats.diagnostic import acorr_ljungbox\n", | |
| "import matplotlib\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import itertools\n", | |
| "\n", | |
| "%matplotlib inline\n", | |
| "matplotlib.style.use('ggplot')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## 1. 時系列分析の基礎概念" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### 1.3" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "array([[<matplotlib.axes._subplots.AxesSubplot object at 0x1170b9ef0>,\n", | |
| " <matplotlib.axes._subplots.AxesSubplot object at 0x117334f28>],\n", | |
| " [<matplotlib.axes._subplots.AxesSubplot object at 0x1170f4b00>,\n", | |
| " <matplotlib.axes._subplots.AxesSubplot object at 0x1173baf60>],\n", | |
| " [<matplotlib.axes._subplots.AxesSubplot object at 0x11740a198>,\n", | |
| " <matplotlib.axes._subplots.AxesSubplot object at 0x119dad860>]], dtype=object)" | |
| ] | |
| }, | |
| "execution_count": 2, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
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kshqV5FIRYLYYxnLjDRIBqCe5F2sXg7FKyGsWLGd4o+p6QbcclHUbtkMgDDg7l7E8BDzJ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\ni17H3VGwkrzL2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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x1170b9550>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "mu_sigma = [(0, 1), (2, 1), (-2, 1), (0, 2), (0, 3), (2, 2)]\n", | |
| "white_noise = DataFrame()\n", | |
| "for mu, sigma in mu_sigma:\n", | |
| " name = '$\\mu={0}, \\sigma={1}$'.format(mu, sigma)\n", | |
| " white_noise[name] = np.random.normal(mu, sigma, 100)\n", | |
| "white_noise.plot(subplots=True, layout=(3,2), figsize=(12, 12))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### 1.5" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>topix</th>\n", | |
| " <th>exrate</th>\n", | |
| " <th>indprod</th>\n", | |
| " <th>cpi</th>\n", | |
| " <th>saunemp</th>\n", | |
| " <th>intrate</th>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>date</th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>1975-01-01</th>\n", | |
| " <td>276.09</td>\n", | |
| " <td>29.13</td>\n", | |
| " <td>47.33</td>\n", | |
| " <td>52.625</td>\n", | |
| " <td>1.7</td>\n", | |
| " <td>12.67</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>1975-02-01</th>\n", | |
| " <td>299.81</td>\n", | |
| " <td>29.70</td>\n", | |
| " <td>46.86</td>\n", | |
| " <td>52.723</td>\n", | |
| " <td>1.8</td>\n", | |
| " <td>13.00</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>1975-03-01</th>\n", | |
| " <td>313.50</td>\n", | |
| " <td>29.98</td>\n", | |
| " <td>46.24</td>\n", | |
| " <td>53.114</td>\n", | |
| " <td>1.8</td>\n", | |
| " <td>12.92</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>1975-04-01</th>\n", | |
| " <td>320.57</td>\n", | |
| " <td>29.80</td>\n", | |
| " <td>47.33</td>\n", | |
| " <td>54.092</td>\n", | |
| " <td>1.8</td>\n", | |
| " <td>12.02</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>1975-05-01</th>\n", | |
| " <td>329.65</td>\n", | |
| " <td>29.79</td>\n", | |
| " <td>47.33</td>\n", | |
| " <td>54.385</td>\n", | |
| " <td>1.8</td>\n", | |
| " <td>11.06</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " topix exrate indprod cpi saunemp intrate\n", | |
| "date \n", | |
| "1975-01-01 276.09 29.13 47.33 52.625 1.7 12.67\n", | |
| "1975-02-01 299.81 29.70 46.86 52.723 1.8 13.00\n", | |
| "1975-03-01 313.50 29.98 46.24 53.114 1.8 12.92\n", | |
| "1975-04-01 320.57 29.80 47.33 54.092 1.8 12.02\n", | |
| "1975-05-01 329.65 29.79 47.33 54.385 1.8 11.06" | |
| ] | |
| }, | |
| "execution_count": 3, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "eco = read_excel('http://www.geocities.jp/tatsuyoshi_okimoto/books/tsa/economicdata.xls', index_col='date')\n", | |
| "eco.head()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "#### (1)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "array([[<matplotlib.axes._subplots.AxesSubplot object at 0x11cc0ad68>,\n", | |
| " <matplotlib.axes._subplots.AxesSubplot object at 0x11bf01eb8>],\n", | |
| " [<matplotlib.axes._subplots.AxesSubplot object at 0x11ba55cc0>,\n", | |
| " <matplotlib.axes._subplots.AxesSubplot object at 0x11bccaeb8>],\n", | |
| " [<matplotlib.axes._subplots.AxesSubplot object at 0x11bca6c18>,\n", | |
| " <matplotlib.axes._subplots.AxesSubplot object at 0x11cbd1b00>]], dtype=object)" | |
| ] | |
| }, | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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8VgYPflTJ2dU+UkwQ1EKj1cfbU+dhS3EzZr3ClkPNfPuE5C7P3WPPbTZbOFgG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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11bf52e80>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "eco.plot(subplots=True, layout=(3,2), figsize=(12, 12))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "#### (2)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>topix</th>\n", | |
| " <th>exrate</th>\n", | |
| " <th>indprod</th>\n", | |
| " <th>cpi</th>\n", | |
| " <th>saunemp</th>\n", | |
| " <th>intrate</th>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>date</th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>1975-01-01</th>\n", | |
| " <td>NaN</td>\n", | |
| " <td>NaN</td>\n", | |
| " <td>NaN</td>\n", | |
| " <td>NaN</td>\n", | |
| " <td>NaN</td>\n", | |
| " <td>NaN</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>1975-02-01</th>\n", | |
| " <td>8.242204</td>\n", | |
| " <td>1.937847</td>\n", | |
| " <td>-0.997991</td>\n", | |
| " <td>0.186050</td>\n", | |
| " <td>5.715841</td>\n", | |
| " <td>2.571236</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>1975-03-01</th>\n", | |
| " <td>4.465042</td>\n", | |
| " <td>0.938345</td>\n", | |
| " <td>-1.331921</td>\n", | |
| " <td>0.738875</td>\n", | |
| " <td>0.000000</td>\n", | |
| " <td>-0.617286</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>1975-04-01</th>\n", | |
| " <td>2.230130</td>\n", | |
| " <td>-0.602210</td>\n", | |
| " <td>2.329912</td>\n", | |
| " <td>1.824575</td>\n", | |
| " <td>0.000000</td>\n", | |
| " <td>-7.220457</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>1975-05-01</th>\n", | |
| " <td>2.793082</td>\n", | |
| " <td>-0.033563</td>\n", | |
| " <td>0.000000</td>\n", | |
| " <td>0.540208</td>\n", | |
| " <td>0.000000</td>\n", | |
| " <td>-8.323693</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " topix exrate indprod cpi saunemp intrate\n", | |
| "date \n", | |
| "1975-01-01 NaN NaN NaN NaN NaN NaN\n", | |
| "1975-02-01 8.242204 1.937847 -0.997991 0.186050 5.715841 2.571236\n", | |
| "1975-03-01 4.465042 0.938345 -1.331921 0.738875 0.000000 -0.617286\n", | |
| "1975-04-01 2.230130 -0.602210 2.329912 1.824575 0.000000 -7.220457\n", | |
| "1975-05-01 2.793082 -0.033563 0.000000 0.540208 0.000000 -8.323693" | |
| ] | |
| }, | |
| "execution_count": 5, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "eco_pct = np.log(eco).diff() * 100\n", | |
| "eco_pct.head()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "#### (3)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "array([<matplotlib.axes._subplots.AxesSubplot object at 0x11bde3eb8>,\n", | |
| " <matplotlib.axes._subplots.AxesSubplot object at 0x11bb0f080>,\n", | |
| " <matplotlib.axes._subplots.AxesSubplot object at 0x11afd1470>], dtype=object)" | |
| ] | |
| }, | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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WYFzz/yLwV5+EmNzsfV5NA4JBGMEQ8svLEG30D6NYRL5UBkQQZnq5pT5mPrsH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\nYlsA9yVO7eYF/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lJXrtAPItjTO911C70YVFYB8PPQtotPxbF02mdrBAfeMzGA9FEqiO7z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\nRK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11c613a90>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "eco_pct[['topix', 'exrate', 'indprod']].plot(subplots=True, figsize=(12, 12))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "#### (4)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "indprod = eco_pct.indprod.dropna()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11c82d550>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "_ = plot_acf(indprod, lags=20)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "def portmanteau_test(endog, lags=10):\n", | |
| " q_m, pvalues = acorr_ljungbox(endog, lags=lags)\n", | |
| " df = DataFrame([q_m.round(2), pvalues.round(3)], index=['Q(m)', 'p値'], columns=range(1, lags + 1))\n", | |
| " return df" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>1</th>\n", | |
| " <th>2</th>\n", | |
| " <th>3</th>\n", | |
| " <th>4</th>\n", | |
| " <th>5</th>\n", | |
| " <th>6</th>\n", | |
| " <th>7</th>\n", | |
| " <th>8</th>\n", | |
| " <th>9</th>\n", | |
| " <th>10</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>Q(m)</th>\n", | |
| " <td>34.2</td>\n", | |
| " <td>39.76</td>\n", | |
| " <td>50.4</td>\n", | |
| " <td>51.8</td>\n", | |
| " <td>51.91</td>\n", | |
| " <td>54.46</td>\n", | |
| " <td>54.46</td>\n", | |
| " <td>57.46</td>\n", | |
| " <td>57.94</td>\n", | |
| " <td>58.84</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>p値</th>\n", | |
| " <td>0.0</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.0</td>\n", | |
| " <td>0.0</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " 1 2 3 4 5 6 7 8 9 10\n", | |
| "Q(m) 34.2 39.76 50.4 51.8 51.91 54.46 54.46 57.46 57.94 58.84\n", | |
| "p値 0.0 0.00 0.0 0.0 0.00 0.00 0.00 0.00 0.00 0.00" | |
| ] | |
| }, | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "portmanteau_test(indprod)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "#### (5)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 11, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "topix = eco_pct.topix.dropna()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>1</th>\n", | |
| " <th>2</th>\n", | |
| " <th>3</th>\n", | |
| " <th>4</th>\n", | |
| " <th>5</th>\n", | |
| " <th>6</th>\n", | |
| " <th>7</th>\n", | |
| " <th>8</th>\n", | |
| " <th>9</th>\n", | |
| " <th>10</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>Q(m)</th>\n", | |
| " <td>34.68</td>\n", | |
| " <td>36.39</td>\n", | |
| " <td>36.84</td>\n", | |
| " <td>38.55</td>\n", | |
| " <td>38.91</td>\n", | |
| " <td>39.87</td>\n", | |
| " <td>39.97</td>\n", | |
| " <td>40.2</td>\n", | |
| " <td>44.42</td>\n", | |
| " <td>45.97</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>p値</th>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.0</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " 1 2 3 4 5 6 7 8 9 10\n", | |
| "Q(m) 34.68 36.39 36.84 38.55 38.91 39.87 39.97 40.2 44.42 45.97\n", | |
| "p値 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0 0.00 0.00" | |
| ] | |
| }, | |
| "execution_count": 12, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "portmanteau_test(topix)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 13, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>1</th>\n", | |
| " <th>2</th>\n", | |
| " <th>3</th>\n", | |
| " <th>4</th>\n", | |
| " <th>5</th>\n", | |
| " <th>6</th>\n", | |
| " <th>7</th>\n", | |
| " <th>8</th>\n", | |
| " <th>9</th>\n", | |
| " <th>10</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>Q(m)</th>\n", | |
| " <td>37.9</td>\n", | |
| " <td>38.76</td>\n", | |
| " <td>41.79</td>\n", | |
| " <td>42.29</td>\n", | |
| " <td>42.73</td>\n", | |
| " <td>45.26</td>\n", | |
| " <td>45.61</td>\n", | |
| " <td>49.88</td>\n", | |
| " <td>53.74</td>\n", | |
| " <td>53.87</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>p値</th>\n", | |
| " <td>0.0</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.00</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " 1 2 3 4 5 6 7 8 9 10\n", | |
| "Q(m) 37.9 38.76 41.79 42.29 42.73 45.26 45.61 49.88 53.74 53.87\n", | |
| "p値 0.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00" | |
| ] | |
| }, | |
| "execution_count": 13, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "exrate = eco_pct.exrate.dropna()\n", | |
| "portmanteau_test(exrate)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## 2. ARMA 過程" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### 2.5" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "#### (1)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 14, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "ac = stattools.acf(indprod, nlags=20)\n", | |
| "ac[0] = np.nan" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 15, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "pac = stattools.pacf(indprod, nlags=20)\n", | |
| "pac[0] = np.nan" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 16, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "def plot_lines(axs):\n", | |
| " if isinstance(axs, np.ndarray):\n", | |
| " for ax in axs:\n", | |
| " plot_lines(ax)\n", | |
| " else:\n", | |
| " axs.axhline(0, color='k')\n", | |
| " axs.axhline(0.1, ls='--', color='k')\n", | |
| " axs.axhline(-0.1, ls='--', color='k')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 17, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
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Utm3bdNddd8nX11dDhw7Vp59+KkkKCwtTZmam7rnnHk2YMEG+vr5mu8DAwEK3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\nSUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11a93deb8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "df = DataFrame({'Autocorrelation': ac, 'Partial Autocorrelation': pac})\n", | |
| "axs = df.plot.bar(subplots=True, layout=(1,2), figsize=(12,4), ylim=(-0.5,0.5))\n", | |
| "plot_lines(axs)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 18, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "ar4 = AR(indprod).fit(maxlag=4)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 19, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "ar4_ac = stattools.acf(ar4.resid, nlags=20)\n", | |
| "ar4_ac[0] = np.nan" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 20, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "arma12 = ARMA(indprod, (1,2)).fit()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 21, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "arma12_ac = stattools.acf(arma12.resid, nlags=20)\n", | |
| "arma12_ac[0] = np.nan" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 22, | |
| "metadata": { | |
| "collapsed": false, | |
| "scrolled": true | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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J2Li02s7PjT06Odx/xsalurFHJ3K2C9s7YrFarVaHa2tRZmbF/2G7cxWw2bbE\nJGZ9j+n7839U9PyTFa7zn/SCSsO7ejymp9rWtZht2rQx1Rdv5yhnS/XnvSVm7cSs63394XiRnvz4\nkMP1LwzqrCsu9ne43ltieqptXYzpKG/X2ZFkAAAAoLZw4R4AAIBJPBym/uKdAwAAMImHw9RfTLcA\nAAAADBhJBmD3sBXJ8MAVHrYCAHUKUzxqBmcRgN3DViQeuAIAdRlTPGoG0y0AAAAAA4pkAAAAwIAi\nGQAAADCgSAYAAAAMKJIBAAAAA4pkAAAAwIAiGQAAADCgSAYAAAAMKJIBAAAAA4pkAAAAwMCtx1Kv\nXLlSqampKikp0dChQxUTE2O3vrS0VAsWLFBmZqaKi4t100036YYbbnCrwwAAc8jZAOA800Xyli1b\nlJWVpZkzZ+rs2bOaPHmyIiMjFRwcbNtm06ZNuuSSS/TAAw+oqKhIjz32mKKjo9W0aVOPdB4A4Bxy\nNgC4xnSRvGPHDg0YMECS1KRJE0VHR2vXrl26/vrrbdvcfPPNKisrkySVlZXJ19dXPj7M8ACAmkbO\nBgDXVFkk79u3T8nJyeUb+vnZjUAEBwcrNze33HY+Pj5KT0/XokWLlJCQoICAADe7DABwhJwNAJ5h\nsVqtVjMNExMTFRsbq8jISElSUlKSQkNDFRsba7fd1q1btX37do0dO9YuQV8oNTVVqampttcjR45U\nfn5+hdv6+/urqKjITJdNtyUmMYlJTGfbBQYGKikpyfY6IiJCERERpvrnSbWVs6X6894Ss3ZielNf\niemdMR3lbdPTLXr16qXPPvtMkZGRKiws1LfffqvJkyfbbZOamqrdu3dr4sSJle6rov9EHCXcwMDA\nSpNxZcy2JSYxiUlMZ9sFBgZq5MiRpvpTnWorZ0v1570lZu3E9Ka+EtM7YzrK26aL5OjoaB04cEBP\nPfWULBaLhg8fruDgYB0+fFhr167VhAkT9Mknn+jYsWOaPn26rV18fLzCw8PNhgUAmEDOBgDXuHUL\nuISEhHLLOnbsqAkTJkiSHn30UXd2DwDwIHI2ADiPy5YBAAAAA4pkAAAAwIAiGQAAADCgSAYAAAAM\nKJIBAAAAA4pkAAAAwIAiGQAAADCgSAYAAAAMKJIBAAAAA4pkAAAAwIAiGQAAADCgSAYAAAAMKJIB\nAAAAA4pkAAAAwIAiGQAAADCgSAYAAAAMKJIBAAAAA4pkAAAAwIAiGQAAADCgSAYAAAAMKJIBAAAA\nA4pkAAAc5eKjAAAP3ElEQVQAwIAiGQAAADCgSAYAAAAMKJIBAAAAA4pkAAAAwIAiGQAAADCgSAYA\nAAAMKJIBAAAAA4pkAAAAwIAiGQAAADCgSAYAAAAMKJIBAAAAA4pkAAAAwIAiGQAAADCgSAYAAAAM\nKJIBAAAAAz93Gq9cuVKpqakqKSnR0KFDFRMTU+F2xcXFmjRpkoYNG6b+/fu7ExIAYBI5GwCcZ7pI\n3rJli7KysjRz5kydPXtWkydPVmRkpIKDg8ttu3LlSnXq1MmtjgIAzCNnA4BrTE+32LFjhwYMGCBJ\natKkiaKjo7Vr165y233//fc6ffq0unfvbr6XAAC3kLMBwDVVjiTv27dPycnJ5Rv6+dmNQAQHBys3\nN9dumzNnzigpKUlPPfWUtm/fLovF4oEuAwAcIWcDgGdUWSRHRkYqMjKy3PLExETl5eXZXufk5Cg0\nNNRum4ULF+qOO+5Q06ZNJUlWq7XCGKmpqUpNTbW9HjlypAIDAyvc1t/f3+G6qphtS0xiEpOYrrRL\nSkqy/TsiIkIRERGm+mdGXcvZUv16b4lZ8zG9qa/E9N6YFeVt03OSe/Xqpc8++0yRkZEqLCzUt99+\nq8mTJ9vWFxQU6MiRI9q4caM++eQTZWdny2KxyGKxlLsQpKL/RPLz8yuMGxgY6HBdVcy2JSYxiUlM\nZ9sFBgZq5MiRpvpTnWorZ0v1570lZu3E9Ka+EtM7YzrK26aL5OjoaB04cEBPPfWULBaLhg8fruDg\nYB0+fFhr167VhAkT9NJLL9m237x5syRxpTQA1AJyNgC4xq1bwCUkJJRb1rFjR02YMKHcchItANQu\ncjYAOI+HiQAAAAAGFMkAAACAAUUyAAAAYECRDAAAABhQJAMAAAAGFMkAAACAAUUyAAAAYECRDAAA\nABhQJAMAAAAGFMkAAACAAUUyAAAAYECRDAAAABhQJAMAAAAGFMkAAACAAUUyAAAAYECRDAAAABhQ\nJAMAAAAGFMkAAACAgcVqtVpruxMAAABAXeJ1I8lJSUk13paYxCQmMT0VsyFqKO8tMetWO2IS0912\nXlckAwAAANWNIhkAAAAw8H3mmWeeqe1OuCo0NLTG2xKTmMQkpqdiNkQN5b0lZt1qR0xiutOOC/cA\nAAAAA6ZbAAAAAAYUyQAAAIABRTIAAABgQJEMAAAAGNT5u1ts375d//rXv7Rp0ybt3btXktS2bdtq\ni1dUVKRPP/1UaWlp6tixoywWiyQpOTlZ3bp1q7RtaWmptm/fLh8fHwUGBmrz5s3av3+/OnToIF9f\nX5f68cYbbygqKqrK7Xbs2KE2bdqoqKhIq1at0po1a3TkyBFddtll8vPzq7RtWlqafH19ZbFYlJyc\nrHXr1ik9PV1dunSptO3SpUvVoUMHNWnSxKVjKigo0EcffaSioiK1atVKSUlJ+uyzzxQeHq6mTZtW\n2T41NVWbNm3S9u3bdeTIEbVs2VIXXXSRS30AUP28JW+Ts6vmTt4mZ8Pb1ekiefny5Tpw4IBuuOEG\nRUdH69JLL9W///1vHThwQD169KiWmK+//rokKScnR999952uvvpqSdI///lPxcbGVtp2/vz5Onz4\nsHbs2KGTJ0/q+++/V6NGjfTll1+qd+/eDttNnz5dmzdvtvv54YcftHv37ipjLliwQLGxsVq6dKma\nNm2qoUOHKicnR5s2bao0piQlJiaqd+/eWrlypRo1aqTBgwfrxIkT2rhxo6677jqH7RYtWqQ9e/bo\n+PHj6tixoxo1alRpnPPOn9uMjAwdPHhQYWFhatWqlZKTk9WvX79K2yYnJ2vbtm264oordODAAQUH\nByslJUW+vr5q166dU/EbouPHjzv1BwgcO3PmjJYvX67Fixfrww8/1MaNG5WVlaXLL7/c6d/9hsSb\n8jY5u2pm8zY52xxytmd4Km9X/mdrLdu/f7+ee+452+u2bdsqIiJCkydPrraYJ0+e1MSJEyVJ77zz\njvbs2aMrr7zSqba//PKLXnjhBRUUFOjhhx/WG2+8IX9/f02bNq3SdhERETp27JhGjx6t5s2bS5Je\neuklPfHEE073+9dff9X06dMlSe3atbP9uzJlZWUKDAxUWlqabfv27dtX2d+QkBBNnTpVKSkpeuaZ\nZ3TFFVeof//+Cg8Pr7TdyZMn9b//+7+SpDVr1tiS+saNG6vs63fffaeZM2fKx8dHMTExeuWVV/TE\nE09o5syZio6OrrTtmTNn9I9//EO7du1SWVmZ/Pz8dNVVV2nUqFHVloyysrK0YsUKNW7cWHfddZft\nfZ09e7Yee+wxh+2OHz+utWvXqkuXLoqKitLixYt15swZjR49Wq1bt3a5H0uWLNHjjz9e6TbJycm6\n7bbbdPToUb3++us6evSoQkJC9PDDD+vSSy+ttO3WrVvVpUsX+fj4KDExUceOHVNISIjGjRtX6cjh\nk08+qZEjR+qaa65x+ZjS09O1YsUKhYeHa9iwYXrxxRf1+++/64EHHlBkZKTDdkVFRVqzZo327Nmj\ngoIChYSEqG/fvlX+gZaYmKirrrpKCQkJ8vPzU0lJiTZv3qzExET93//9n8v9r++8KW+TsyvP2ZL5\nvN1Qcrbk2bztTM6WzOdtszlbMp+3zeZsqfbzdp0uki0WiwoKChQQEGBbVlBQoJKSkirbPvjggyot\nLbVbZrVaZbFYNG/ePIftSktLVVJSIj8/P40ePVovv/yywsLCnOqvv7+/JCkgIEDdu3e3vS4qKqq0\n3e23365Dhw5p9uzZuvXWWxUVFWX7urAqxcXFKikpUatWrXTixAm1bNlSJSUlOn36dJVtAwIClJWV\npS5duujIkSMKCwvT0aNHnfqa0WKx6Prrr1f//v21bds2rVixQpmZmZWe2/PvW0lJibKysmzLy8rK\nnIp3/pbeJSUlOnXqlHx8fKo8t5L5D0tmZqbDdW3atKk05rx58zR06FCVlZXp9ddftxUIp06dqrTd\nm2++qd69eystLU179+5V+/bt1aFDBy1cuFBTpkyptO2dd96pLl262P2VfP4/08r+E923b59uu+02\nLVu2TH/+85/VrVs3/fzzz1qwYEGVMT/99FP17t1bs2fP1ogRI9SjRw8dPHhQCxcurDSmxWLR3r17\n9fHHHysuLq7KqUwXWrhwoYYMGaLi4mLNmzdPDz74oIqLi/X6669r5syZDtu9+eab6ty5syZMmKCv\nvvpKQUFBOnHihFatWqVRo0Y5bJeXl6eBAwfaXvv5+enGG2/U5s2bne5zQ+JNeZucXXnOlszn7drI\n2ZL5vG02Z0vm87bZnC2Zz9tmc7ZkPm+bzdlS7eftOl0kDxkyRJMmTVJ0dLSCg4OVk5Ojb7/9VnFx\ncVW2/cMf/qD77rtPgYGBLsUcPHiwpkyZohkzZqhRo0YaP3683njjDbvk4Mi1116rf/zjH7rzzjv1\nyCOPSJI2b96sTp06Vdm2c+fOmjx5slasWKFvvvlGhYWFTvW3TZs2mjVrlk6fPq3Vq1dr3LhxSk5O\nrvIrP0m6++67tXDhQhUWFurzzz9Xhw4dVFhYqL/85S9OxZYkHx8f9enTR3369FFeXl6l21577bWa\nPHmyGjVqpJtvvlmLFy9WSUlJlQWnJMXGxmrKlCm6/PLLtX//fg0dOlTp6em65JJLqmxr9sMyZcoU\ntW/fvsJ1VSUTq9Vq+8o3Ly9P69ev15AhQ6rsa2FhoQYOHKiysjL99a9/1UMPPSTp3AhOVaZOnark\n5GTFxcXZ/jp3ZXTr9OnTtqQXHh7uVFHj4+MjX19fnT171vZVepcuXVTVM4qaNGmiu+++W5mZmXr/\n/ff1zjvvKCYmRldffbVTX8X26tVL0rli5uKLL5akKudzZmdn20Ybb7vtNs2YMcP2Wa+Mn5+f0tLS\n7H4X0tPTnfrjriHyprxNzq48Z0vm83Zt5GzJfN42m7Ml83nb3ZwtuZ63zeZsyb28bSZnS7Wft+t0\nkdynTx9ddtll2r17t/Lz8xUaGqopU6YoODi4yrbXXXed0tPT1bVrV5dj9ujRw/bmtWzZUpMmTdL3\n339fZdthw4YpPz/fblmHDh0qnSt2IX9/f91zzz3as2ePduzY4VSbBx98sNyyuLg424hIZUJCQjRp\n0iTl5OQoOztbF110kS699NIqR0TuuOOOCpef/3rKkbi4OF1zzTVq3ry5goOD1bx5c2VkZKh///5V\n9nXgwIGKjIxUWlqabrrpJrVp00bFxcUaP358lW3Nflj69OmjW2+9tcopBxWxWCz6/fff1apVK91w\nww168803bRcwVdXu/CjcrbfeKunciM3Zs2erbNutWzd16tRJS5Ys0fbt2xUfH+/U6FZOTo727t2r\n0NBQ7d+/X926ddPx48dVXFxcZdvWrVvryy+/VL9+/ZSSkqJ+/fpp27ZtCgoKqrKtdK5geOihh3Ti\nxAl9/vnneu211/Tyyy9X2qa4uFh5eXkqKirSN998oz/+8Y8qLS11qkg5fvy4Lr74YmVkZNiWVXVu\nx44dq1dffVXNmjVTcHCwcnNzVVhYWOFnD96Vt8nZlefs830zk7drI2dL5vO22Zx9vq2ZvG02Z0vm\n87a7OVtyPW+7k7Ol2s3bPJYa9d7hw4c1Z86cCj8sHTp0cNju559/VqNGjRyOSlQmLS1NixYt0pQp\nU2xfFy5atEhbt27V0qVLHbbbvXu39u3bp/j4eNuy999/X40bN7YlX2ds27ZN69atk5+fX5VzHVNS\nUnT06FEdO3ZMYWFhGjZsmNauXavw8PAq54sVFxfrgw8+0LZt23T06FE1bdpUPXv21P/8z/+oWbNm\nDts583WiIzt27NDChQsVGhqq+++/X0uWLFFeXp769u2r4cOHO2z3ww8/6O2331bjxo1VUFCgCRMm\nyMfHR999951uv/12h+2Kioq0adMm+fv7KywsTMHBwbYLl2677TZTxwDAMbM5WzKft83mbMkzeduV\nnC2Zz9tmc7ZkPm+bzdlS7edtimQ0GJmZmTp16pSCgoLUqlWrWumDca6mM86cOWPqYpXzV+tXdYFD\nbTB7TBU5deqUcnNznb7FWF5enlMjaOe99tprCgkJUWlpqYqLi3XfffdJcq/QB1A1b83ZkrkcV5dz\ntuS5vO1qzpZqL2/X6ekWgCc5M/e5uplJtmaTUosWLepssvXkFerNmjWrcgTkQq4kWsm9O94AMM9b\nc7ZkLsfV5ZwteS5vu5qzpdrL2xTJqPfMXjFvtl1DjXm+TX07TnfueAPAdd6UH7w5pis521MxXWnn\nTltP5W2KZNR7Zq+YN9uOmPUrpjt3vAHgOm/KD8SsmzE9lbfr9BP3AE+wWCwqKipy6tZDnmhHzPoV\nMywsTNHR0bavXZs0aaI+ffqoXbt2ph7wAqBy3pQfiFk3Y3oqb3PhHgAAAGDgU9sdAAAAAOoaimQA\nAADAgCIZAAAAMKBIBgAAAAwokgEAAACD/wfD0lb/ZirQfAAAAABJRU5ErkJggg==\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11ac31ac8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "df = DataFrame({'AR(4)': ar4_ac, 'ARMA(1,2)': arma12_ac})\n", | |
| "axs = df.plot.bar(subplots=True, layout=(1,2), figsize=(12,4), ylim=(-0.5,0.5))\n", | |
| "plot_lines(axs)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 23, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "def compare_arma_models(endog, orders):\n", | |
| " df = DataFrame(index=['AIC', 'SIC'])\n", | |
| " for order in orders:\n", | |
| " mod = ARMA(endog, order).fit()\n", | |
| " df[str(order)] = [round(mod.aic, 1), round(mod.bic, 1)]\n", | |
| " df['min'] = df.idxmin(axis=1)\n", | |
| " return df" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 24, | |
| "metadata": { | |
| "collapsed": false, | |
| "scrolled": true | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>(4, 0)</th>\n", | |
| " <th>(0, 3)</th>\n", | |
| " <th>(1, 1)</th>\n", | |
| " <th>(2, 1)</th>\n", | |
| " <th>(1, 2)</th>\n", | |
| " <th>(2, 2)</th>\n", | |
| " <th>min</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>AIC</th>\n", | |
| " <td>1176.5</td>\n", | |
| " <td>1179.2</td>\n", | |
| " <td>1210.3</td>\n", | |
| " <td>1193.1</td>\n", | |
| " <td>1176.9</td>\n", | |
| " <td>1181.8</td>\n", | |
| " <td>(4, 0)</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>SIC</th>\n", | |
| " <td>1199.8</td>\n", | |
| " <td>1198.7</td>\n", | |
| " <td>1225.9</td>\n", | |
| " <td>1212.6</td>\n", | |
| " <td>1196.4</td>\n", | |
| " <td>1205.1</td>\n", | |
| " <td>(1, 2)</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " (4, 0) (0, 3) (1, 1) (2, 1) (1, 2) (2, 2) min\n", | |
| "AIC 1176.5 1179.2 1210.3 1193.1 1176.9 1181.8 (4, 0)\n", | |
| "SIC 1199.8 1198.7 1225.9 1212.6 1196.4 1205.1 (1, 2)" | |
| ] | |
| }, | |
| "execution_count": 24, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "orders = [(4,0), (0,3), (1,1), (2,1), (1,2), (2,2)]\n", | |
| "compare_arma_models(indprod, orders)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "#### (2)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 25, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>1</th>\n", | |
| " <th>2</th>\n", | |
| " <th>3</th>\n", | |
| " <th>4</th>\n", | |
| " <th>5</th>\n", | |
| " <th>6</th>\n", | |
| " <th>7</th>\n", | |
| " <th>8</th>\n", | |
| " <th>9</th>\n", | |
| " <th>10</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>Q(m)</th>\n", | |
| " <td>0.07</td>\n", | |
| " <td>0.290</td>\n", | |
| " <td>0.290</td>\n", | |
| " <td>0.410</td>\n", | |
| " <td>0.650</td>\n", | |
| " <td>0.670</td>\n", | |
| " <td>1.140</td>\n", | |
| " <td>6.020</td>\n", | |
| " <td>6.78</td>\n", | |
| " <td>9.480</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>p値</th>\n", | |
| " <td>0.79</td>\n", | |
| " <td>0.867</td>\n", | |
| " <td>0.962</td>\n", | |
| " <td>0.981</td>\n", | |
| " <td>0.985</td>\n", | |
| " <td>0.995</td>\n", | |
| " <td>0.992</td>\n", | |
| " <td>0.645</td>\n", | |
| " <td>0.66</td>\n", | |
| " <td>0.488</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " 1 2 3 4 5 6 7 8 9 10\n", | |
| "Q(m) 0.07 0.290 0.290 0.410 0.650 0.670 1.140 6.020 6.78 9.480\n", | |
| "p値 0.79 0.867 0.962 0.981 0.985 0.995 0.992 0.645 0.66 0.488" | |
| ] | |
| }, | |
| "execution_count": 25, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "portmanteau_test(ar4.resid)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 26, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>1</th>\n", | |
| " <th>2</th>\n", | |
| " <th>3</th>\n", | |
| " <th>4</th>\n", | |
| " <th>5</th>\n", | |
| " <th>6</th>\n", | |
| " <th>7</th>\n", | |
| " <th>8</th>\n", | |
| " <th>9</th>\n", | |
| " <th>10</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>Q(m)</th>\n", | |
| " <td>0.040</td>\n", | |
| " <td>0.050</td>\n", | |
| " <td>1.410</td>\n", | |
| " <td>1.840</td>\n", | |
| " <td>3.700</td>\n", | |
| " <td>3.740</td>\n", | |
| " <td>3.900</td>\n", | |
| " <td>8.950</td>\n", | |
| " <td>10.080</td>\n", | |
| " <td>11.550</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>p値</th>\n", | |
| " <td>0.833</td>\n", | |
| " <td>0.973</td>\n", | |
| " <td>0.704</td>\n", | |
| " <td>0.764</td>\n", | |
| " <td>0.594</td>\n", | |
| " <td>0.712</td>\n", | |
| " <td>0.791</td>\n", | |
| " <td>0.346</td>\n", | |
| " <td>0.344</td>\n", | |
| " <td>0.317</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " 1 2 3 4 5 6 7 8 9 10\n", | |
| "Q(m) 0.040 0.050 1.410 1.840 3.700 3.740 3.900 8.950 10.080 11.550\n", | |
| "p値 0.833 0.973 0.704 0.764 0.594 0.712 0.791 0.346 0.344 0.317" | |
| ] | |
| }, | |
| "execution_count": 26, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "portmanteau_test(arma12.resid)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### 2.6" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 27, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "array([<matplotlib.axes._subplots.AxesSubplot object at 0x11bc6bd68>,\n", | |
| " <matplotlib.axes._subplots.AxesSubplot object at 0x11bd478d0>,\n", | |
| " <matplotlib.axes._subplots.AxesSubplot object at 0x11ac05908>], dtype=object)" | |
| ] | |
| }, | |
| "execution_count": 27, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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7r6qEdMGAerhsXY920VU91+F0oJ18JmLBKT0FcH4RuBwq9fS7a2Dm/F7nhrtd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\nSUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11cbf44e0>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "arma = read_excel('http://www.geocities.jp/tatsuyoshi_okimoto/books/tsa/arma.xls')\n", | |
| "arma.plot(subplots=True)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "#### (1)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 28, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "y1 = arma.y1.values" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 29, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "def plot_acf_pacf(x, lags=20):\n", | |
| " fig = plt.figure(figsize=(12,4))\n", | |
| " ax1 = fig.add_subplot(121)\n", | |
| " plot_acf(x, ax=ax1, lags=lags)\n", | |
| " ax2 = fig.add_subplot(122)\n", | |
| " plot_pacf(x, ax=ax2, lags=lags)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 30, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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GXnnlFQDAli1bUFRUJLfG/v73v3c5f8SIEZg/fz6+//3vIy8vD5Ik9ak+f+qpp/Doo4/i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\no8GwyJ4SZ4FmuxMqhWMlIvKFVq3CqHP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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11be3dba8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "_ = plot_acf_pacf(y1)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "#### (3)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 31, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "order_select = stattools.arma_order_select_ic(y1, max_ar=2, max_ma=2, ic=['aic', 'bic'])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 32, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>0</th>\n", | |
| " <th>1</th>\n", | |
| " <th>2</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>0</th>\n", | |
| " <td>1271.814709</td>\n", | |
| " <td>1108.776167</td>\n", | |
| " <td>1007.319249</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>1</th>\n", | |
| " <td>921.644359</td>\n", | |
| " <td>910.287912</td>\n", | |
| " <td>908.745588</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>2</th>\n", | |
| " <td>907.184086</td>\n", | |
| " <td>906.431071</td>\n", | |
| " <td>908.288220</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " 0 1 2\n", | |
| "0 1271.814709 1108.776167 1007.319249\n", | |
| "1 921.644359 910.287912 908.745588\n", | |
| "2 907.184086 906.431071 908.288220" | |
| ] | |
| }, | |
| "execution_count": 32, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "order_select['aic']" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 33, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>0</th>\n", | |
| " <th>1</th>\n", | |
| " <th>2</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>0</th>\n", | |
| " <td>1279.222274</td>\n", | |
| " <td>1119.887515</td>\n", | |
| " <td>1022.134379</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>1</th>\n", | |
| " <td>932.755706</td>\n", | |
| " <td>925.103042</td>\n", | |
| " <td>927.264501</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>2</th>\n", | |
| " <td>921.999216</td>\n", | |
| " <td>924.949983</td>\n", | |
| " <td>930.510915</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " 0 1 2\n", | |
| "0 1279.222274 1119.887515 1022.134379\n", | |
| "1 932.755706 925.103042 927.264501\n", | |
| "2 921.999216 924.949983 930.510915" | |
| ] | |
| }, | |
| "execution_count": 33, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "order_select['bic']" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 34, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "AIC: (2, 1) , SIC: (2, 0)\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "print('AIC:', order_select['aic_min_order'], ', SIC:', order_select['bic_min_order'])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "#### (4)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 35, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "ar2 = AR(y1).fit(maxlag=2)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 36, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11bc5ba58>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "_ = plot_acf(ar2.resid, lags=20)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 37, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>1</th>\n", | |
| " <th>2</th>\n", | |
| " <th>3</th>\n", | |
| " <th>4</th>\n", | |
| " <th>5</th>\n", | |
| " <th>6</th>\n", | |
| " <th>7</th>\n", | |
| " <th>8</th>\n", | |
| " <th>9</th>\n", | |
| " <th>10</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>Q(m)</th>\n", | |
| " <td>0.120</td>\n", | |
| " <td>0.970</td>\n", | |
| " <td>2.030</td>\n", | |
| " <td>2.2</td>\n", | |
| " <td>2.87</td>\n", | |
| " <td>3.390</td>\n", | |
| " <td>3.390</td>\n", | |
| " <td>3.390</td>\n", | |
| " <td>3.640</td>\n", | |
| " <td>6.940</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>p値</th>\n", | |
| " <td>0.727</td>\n", | |
| " <td>0.614</td>\n", | |
| " <td>0.566</td>\n", | |
| " <td>0.7</td>\n", | |
| " <td>0.72</td>\n", | |
| " <td>0.759</td>\n", | |
| " <td>0.846</td>\n", | |
| " <td>0.907</td>\n", | |
| " <td>0.933</td>\n", | |
| " <td>0.731</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " 1 2 3 4 5 6 7 8 9 10\n", | |
| "Q(m) 0.120 0.970 2.030 2.2 2.87 3.390 3.390 3.390 3.640 6.940\n", | |
| "p値 0.727 0.614 0.566 0.7 0.72 0.759 0.846 0.907 0.933 0.731" | |
| ] | |
| }, | |
| "execution_count": 37, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "portmanteau_test(ar2.resid)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 38, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "arma21 = ARMA(y1, (2,1)).fit()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 39, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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2fHn7NE5v8WmLPhIbGY6kcWPg1LogoywmOhpt7V6exjw49w85R7CdPc0TYUtN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\nrkJggg==\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11ae1b208>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "_ = plot_acf(arma21.resid, lags=20)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 40, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>1</th>\n", | |
| " <th>2</th>\n", | |
| " <th>3</th>\n", | |
| " <th>4</th>\n", | |
| " <th>5</th>\n", | |
| " <th>6</th>\n", | |
| " <th>7</th>\n", | |
| " <th>8</th>\n", | |
| " <th>9</th>\n", | |
| " <th>10</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>Q(m)</th>\n", | |
| " <td>0.00</td>\n", | |
| " <td>0.040</td>\n", | |
| " <td>0.11</td>\n", | |
| " <td>0.130</td>\n", | |
| " <td>0.190</td>\n", | |
| " <td>0.920</td>\n", | |
| " <td>0.920</td>\n", | |
| " <td>0.940</td>\n", | |
| " <td>1.040</td>\n", | |
| " <td>3.830</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>p値</th>\n", | |
| " <td>0.96</td>\n", | |
| " <td>0.982</td>\n", | |
| " <td>0.99</td>\n", | |
| " <td>0.998</td>\n", | |
| " <td>0.999</td>\n", | |
| " <td>0.989</td>\n", | |
| " <td>0.996</td>\n", | |
| " <td>0.999</td>\n", | |
| " <td>0.999</td>\n", | |
| " <td>0.955</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " 1 2 3 4 5 6 7 8 9 10\n", | |
| "Q(m) 0.00 0.040 0.11 0.130 0.190 0.920 0.920 0.940 1.040 3.830\n", | |
| "p値 0.96 0.982 0.99 0.998 0.999 0.989 0.996 0.999 0.999 0.955" | |
| ] | |
| }, | |
| "execution_count": 40, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "portmanteau_test(arma21.resid)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "#### (5)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 41, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "y2 = arma.y2.values" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 42, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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6vV6P5uZmu2NUKhVaW1vxpz/9CcnJybjwwgt9XcywZTKZUFFRwSlJiQJEWLck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\ns7F48WJERETg8ssvH/L+yCp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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11c7a4438>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plot_acf_pacf(y2)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 43, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>(0, 2)</th>\n", | |
| " <th>(2, 1)</th>\n", | |
| " <th>(2, 2)</th>\n", | |
| " <th>(3, 1)</th>\n", | |
| " <th>(3, 2)</th>\n", | |
| " <th>min</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>AIC</th>\n", | |
| " <td>855.2</td>\n", | |
| " <td>832.6</td>\n", | |
| " <td>834.5</td>\n", | |
| " <td>834.6</td>\n", | |
| " <td>835.7</td>\n", | |
| " <td>(2, 1)</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>SIC</th>\n", | |
| " <td>870.1</td>\n", | |
| " <td>851.2</td>\n", | |
| " <td>856.8</td>\n", | |
| " <td>856.8</td>\n", | |
| " <td>861.6</td>\n", | |
| " <td>(2, 1)</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " (0, 2) (2, 1) (2, 2) (3, 1) (3, 2) min\n", | |
| "AIC 855.2 832.6 834.5 834.6 835.7 (2, 1)\n", | |
| "SIC 870.1 851.2 856.8 856.8 861.6 (2, 1)" | |
| ] | |
| }, | |
| "execution_count": 43, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "orders = [(0,2), (2,1), (2,2), (3,1), (3,2)]\n", | |
| "compare_arma_models(y2, orders)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 44, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "arma21 = ARMA(y2, (2,1)).fit()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 45, | |
| "metadata": { | |
| "collapsed": false, | |
| "scrolled": true | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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tRJczcL6fHogtESIaaLC/uI/CgCXJyV7bRtC00AEgPFSHGFM4Au3r6YHWEiGi\ngVz+4m5swauNPUi4539hNnvvQWY6IXzwJKthqq0d+W+KGo1GOByOES3b1u30yQO8RoNQ/nf5n769\n6Hsbrwz3W0YAkVGRaGttHZ1CepFWb9OYqEi0tw58ONdIiuPyXrhZj9afyv6fL2Doz1XfWCEAAQGD\nYQza29sHruuq9Q0y2G9bfdOFMpPzqvWIvun9VuS6vqFrcMAUjSq7uckONF1E6ncmjyjMY2JihpwW\nNF0u/UWGBdUfJgAAY3QEHGJ4v79KgNFogAO+eb6+jKKjo9DSMroJKYQYtAHjMs9Vr8Q3f59r2p4b\nHwmTMRntbd5vYAVloBORd+k0eM6GTqe70n3qdvP+1dGq99G9McHXVCUikhQDnYhIEgx0IiJJMNCJ\niCTBQCcikgQDnYhIEgx0IiJJMNCJiCSh6a3/RETkPQHbQi8uLta6CAGF9aUO60sd1pc6vqqvgA10\nIiJyxUAnIpJEwAa61WrVuggBhfWlDutLHdaXOr6qL14UJSKSRMC20ImIyBUDnYhIEgH3Axfl5eUo\nKSmBEAKpqanIy8vTukh+7fXXX0dtbS3CwsIAAPPnz8ett96qcan8S0VFBfbv34/Kykq8/vrrAIDq\n6mps2bIFPT09GDt2LJ544glERkZqXFL/MFh97dmzB7t27VJ+Um3KlClYuHChlsX0G+Xl5di9ezdC\nQ0NhsViwbNky1NbW+ubzJQJIXV2d+PnPfy7a29uFEEK88sor4sCBAxqXyr8VFhaK7u5urYvh1/79\n73+L5uZm8fjjjyvj8vPzxdmzZ4UQQnzyySdi8+bNWhXP7wxWXzt37hTHjx/XsFT+yeFwiF/84hfK\nMbh9+3bx0Ucf+ezzFVAt9GPHjiE9PR0GgwEAkJ2djT179iAtLU3jkvmv1tZWvPHGG7hw4QLi4+Ox\nePFihIeHa10sv5KSkuIyXFtbi+joaNxwww0AgLvuugtPPfWUFkXzS1fXFwDU1dWhoaEB77//PqKi\novDggw/i+uuv16B0/iU6OhpFRUXQ6y9HbW9vL8LDw332+QqoPnSHw+HyK9kWiwXNzc0alsj/JSUl\nYdGiRSgsLMTYsWPx7rvval0kv9fS0uLyOdPr9XA6nRqWyP/FxcUhIyMDBQUFmDdvHv7whz9oXSS/\nodfr0d3djS1btqC7uxtxcXE++3wFVAvdZDLh4sWLyrDdbofJZNKwRP7v8ccfV16np6fjz3/+s4al\nCQwmkwl4LcLHAAABTklEQVRNTU3KcE9Pj9LCosH96Ec/Ul6npqa6HKfBrrGxERs3bsS8efMwdepU\nXLhwwWefr4BqoU+fPh2HDh1CR0cHAKC0tBQzZ87UuFT+q6urCzt37kRPTw+Ay11WkydP1rhU/kt8\nc0vGhAkT0NnZifPnzwMAysrKcMstt2hZNL8k+t3CsmvXLjQ0NAAAqqqqMH78eK2K5Ve6u7vx2muv\nYenSpZg6dSoA336+AqrZYTabkZOTg4KCAuj1eqSkpLD//BrCw8NhNBrxy1/+ElFRUbBYLC4tdnKl\n0+mU18uWLcOGDRsQEhKC6OhoPPHEExqWzD/1r6+kpCS8/PLLCAsLg16vx5NPPqlhyfzHiRMnUFtb\n69IFNWXKFJ99vninKBGRJAKqy4WIiIbGQCcikgQDnYhIEgx0IiJJMNCJiCTBQCcikgQDnYhIEgx0\nIiJJ/H8AyyWTu+gOcwAAAABJRU5ErkJggg==\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11c73ea58>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "_ = plot_acf(arma21.resid, lags=20)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 46, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>1</th>\n", | |
| " <th>2</th>\n", | |
| " <th>3</th>\n", | |
| " <th>4</th>\n", | |
| " <th>5</th>\n", | |
| " <th>6</th>\n", | |
| " <th>7</th>\n", | |
| " <th>8</th>\n", | |
| " <th>9</th>\n", | |
| " <th>10</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>Q(m)</th>\n", | |
| " <td>0.000</td>\n", | |
| " <td>0.240</td>\n", | |
| " <td>0.300</td>\n", | |
| " <td>2.740</td>\n", | |
| " <td>2.890</td>\n", | |
| " <td>2.920</td>\n", | |
| " <td>3.210</td>\n", | |
| " <td>3.230</td>\n", | |
| " <td>3.390</td>\n", | |
| " <td>3.560</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>p値</th>\n", | |
| " <td>0.981</td>\n", | |
| " <td>0.889</td>\n", | |
| " <td>0.961</td>\n", | |
| " <td>0.602</td>\n", | |
| " <td>0.717</td>\n", | |
| " <td>0.819</td>\n", | |
| " <td>0.865</td>\n", | |
| " <td>0.919</td>\n", | |
| " <td>0.947</td>\n", | |
| " <td>0.965</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " 1 2 3 4 5 6 7 8 9 10\n", | |
| "Q(m) 0.000 0.240 0.300 2.740 2.890 2.920 3.210 3.230 3.390 3.560\n", | |
| "p値 0.981 0.889 0.961 0.602 0.717 0.819 0.865 0.919 0.947 0.965" | |
| ] | |
| }, | |
| "execution_count": 46, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "portmanteau_test(arma21.resid)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 47, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "y3 = arma.y3.values" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 48, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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GNFZtQ5lOASAOVwNYt2MrDDcUQafT+Ts8IiIiopDl9hBwHJTe++rq6jBD9Nqt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\nTM//OOUlke/l5eUhLy/Pbl1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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11c280320>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plot_acf_pacf(y3)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 49, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>(4, 0)</th>\n", | |
| " <th>(8, 0)</th>\n", | |
| " <th>(1, 1)</th>\n", | |
| " <th>(1, 2)</th>\n", | |
| " <th>(1, 3)</th>\n", | |
| " <th>(2, 1)</th>\n", | |
| " <th>(2, 2)</th>\n", | |
| " <th>(2, 3)</th>\n", | |
| " <th>min</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>AIC</th>\n", | |
| " <td>965.3</td>\n", | |
| " <td>934.6</td>\n", | |
| " <td>920.9</td>\n", | |
| " <td>919.6</td>\n", | |
| " <td>921.5</td>\n", | |
| " <td>919.8</td>\n", | |
| " <td>921.5</td>\n", | |
| " <td>918.9</td>\n", | |
| " <td>(2, 3)</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>SIC</th>\n", | |
| " <td>987.5</td>\n", | |
| " <td>971.6</td>\n", | |
| " <td>935.8</td>\n", | |
| " <td>938.1</td>\n", | |
| " <td>943.7</td>\n", | |
| " <td>938.3</td>\n", | |
| " <td>943.7</td>\n", | |
| " <td>944.8</td>\n", | |
| " <td>(1, 1)</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " (4, 0) (8, 0) (1, 1) (1, 2) (1, 3) (2, 1) (2, 2) (2, 3) min\n", | |
| "AIC 965.3 934.6 920.9 919.6 921.5 919.8 921.5 918.9 (2, 3)\n", | |
| "SIC 987.5 971.6 935.8 938.1 943.7 938.3 943.7 944.8 (1, 1)" | |
| ] | |
| }, | |
| "execution_count": 49, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "orders = [(4,0), (8,0), (1,1), (1,2), (1,3), (2,1), (2,2), (2,3)]\n", | |
| "compare_arma_models(y3, orders)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 50, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "arma23 = ARMA(y3, (2,3)).fit()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 51, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11c5b6668>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "_ = plot_acf(arma23.resid, lags=20)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 52, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>1</th>\n", | |
| " <th>2</th>\n", | |
| " <th>3</th>\n", | |
| " <th>4</th>\n", | |
| " <th>5</th>\n", | |
| " <th>6</th>\n", | |
| " <th>7</th>\n", | |
| " <th>8</th>\n", | |
| " <th>9</th>\n", | |
| " <th>10</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>Q(m)</th>\n", | |
| " <td>0.010</td>\n", | |
| " <td>0.160</td>\n", | |
| " <td>0.330</td>\n", | |
| " <td>0.400</td>\n", | |
| " <td>2.770</td>\n", | |
| " <td>2.770</td>\n", | |
| " <td>4.430</td>\n", | |
| " <td>5.900</td>\n", | |
| " <td>5.940</td>\n", | |
| " <td>6.230</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>p値</th>\n", | |
| " <td>0.911</td>\n", | |
| " <td>0.922</td>\n", | |
| " <td>0.954</td>\n", | |
| " <td>0.983</td>\n", | |
| " <td>0.736</td>\n", | |
| " <td>0.837</td>\n", | |
| " <td>0.729</td>\n", | |
| " <td>0.658</td>\n", | |
| " <td>0.746</td>\n", | |
| " <td>0.795</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " 1 2 3 4 5 6 7 8 9 10\n", | |
| "Q(m) 0.010 0.160 0.330 0.400 2.770 2.770 4.430 5.900 5.940 6.230\n", | |
| "p値 0.911 0.922 0.954 0.983 0.736 0.837 0.729 0.658 0.746 0.795" | |
| ] | |
| }, | |
| "execution_count": 52, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "portmanteau_test(arma23.resid)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 53, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "arma11 = ARMA(y3, (1,1)).fit()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 54, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11ac35a58>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "_ = plot_acf(arma11.resid, lags=20)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 55, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>1</th>\n", | |
| " <th>2</th>\n", | |
| " <th>3</th>\n", | |
| " <th>4</th>\n", | |
| " <th>5</th>\n", | |
| " <th>6</th>\n", | |
| " <th>7</th>\n", | |
| " <th>8</th>\n", | |
| " <th>9</th>\n", | |
| " <th>10</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>Q(m)</th>\n", | |
| " <td>1.290</td>\n", | |
| " <td>1.470</td>\n", | |
| " <td>2.070</td>\n", | |
| " <td>2.2</td>\n", | |
| " <td>6.620</td>\n", | |
| " <td>6.620</td>\n", | |
| " <td>7.780</td>\n", | |
| " <td>8.930</td>\n", | |
| " <td>8.950</td>\n", | |
| " <td>9.730</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>p値</th>\n", | |
| " <td>0.255</td>\n", | |
| " <td>0.479</td>\n", | |
| " <td>0.558</td>\n", | |
| " <td>0.7</td>\n", | |
| " <td>0.251</td>\n", | |
| " <td>0.357</td>\n", | |
| " <td>0.352</td>\n", | |
| " <td>0.348</td>\n", | |
| " <td>0.442</td>\n", | |
| " <td>0.465</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " 1 2 3 4 5 6 7 8 9 10\n", | |
| "Q(m) 1.290 1.470 2.070 2.2 6.620 6.620 7.780 8.930 8.950 9.730\n", | |
| "p値 0.255 0.479 0.558 0.7 0.251 0.357 0.352 0.348 0.442 0.465" | |
| ] | |
| }, | |
| "execution_count": 55, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "portmanteau_test(arma11.resid)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## 4. VAR モデル" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 56, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "msci = read_excel('http://www.geocities.jp/tatsuyoshi_okimoto/books/tsa/msci_day.xls', index_col='Date')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### 4.5" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "#### (1)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 57, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "msci_pct = np.log(msci).diff() * 100\n", | |
| "msci_pct = msci_pct.dropna()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 58, | |
| "metadata": { | |
| "collapsed": false, | |
| "scrolled": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "array([[<matplotlib.axes._subplots.AxesSubplot object at 0x11ab0b6d8>,\n", | |
| " <matplotlib.axes._subplots.AxesSubplot object at 0x11c5c4a90>],\n", | |
| " [<matplotlib.axes._subplots.AxesSubplot object at 0x11c767eb8>,\n", | |
| " <matplotlib.axes._subplots.AxesSubplot object at 0x11ac6c0f0>],\n", | |
| " [<matplotlib.axes._subplots.AxesSubplot object at 0x11bec9b38>,\n", | |
| " <matplotlib.axes._subplots.AxesSubplot object at 0x11cc6ab38>],\n", | |
| " [<matplotlib.axes._subplots.AxesSubplot object at 0x11cc7b9e8>,\n", | |
| " <matplotlib.axes._subplots.AxesSubplot object at 0x11ccfc4e0>]], dtype=object)" | |
| ] | |
| }, | |
| "execution_count": 58, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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X/QBdt1FVCSgu9LZvtszL+O2IXy6TVmkASXP82xrQFfJESXG1xn5XNhNC+vUn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FAAAg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\nNFC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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11c713dd8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "msci_pct.plot(subplots=True, layout=(4,2), figsize=(12,8))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 59, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "jp_uk_us = ['jp', 'uk', 'us']" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 60, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "var3 = VAR(msci_pct[jp_uk_us]).fit(3)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 61, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>uk → jp</th>\n", | |
| " <th>us → jp</th>\n", | |
| " <th>jp → uk</th>\n", | |
| " <th>us → uk</th>\n", | |
| " <th>jp → us</th>\n", | |
| " <th>uk → us</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>統計検定量</th>\n", | |
| " <td>12.012</td>\n", | |
| " <td>53.532</td>\n", | |
| " <td>0.756</td>\n", | |
| " <td>71.893</td>\n", | |
| " <td>0.220</td>\n", | |
| " <td>0.596</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>p値</th>\n", | |
| " <td>0.000</td>\n", | |
| " <td>0.000</td>\n", | |
| " <td>0.519</td>\n", | |
| " <td>0.000</td>\n", | |
| " <td>0.882</td>\n", | |
| " <td>0.617</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " uk → jp us → jp jp → uk us → uk jp → us uk → us\n", | |
| "統計検定量 12.012 53.532 0.756 71.893 0.220 0.596\n", | |
| "p値 0.000 0.000 0.519 0.000 0.882 0.617" | |
| ] | |
| }, | |
| "execution_count": 61, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "df = DataFrame(index=['統計検定量', 'p値'])\n", | |
| "for pair in itertools.permutations(jp_uk_us, r=2):\n", | |
| " col = pair[1] + ' → ' + pair[0]\n", | |
| " res = var3.test_causality(*pair, verbose=False)\n", | |
| " df[col] = [res['statistic'].round(3), res['pvalue'].round(3)]\n", | |
| "df" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 62, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/Users/miyoshi/.pyenv/versions/anaconda3-4.1.1/lib/python3.5/site-packages/numpy/lib/twodim_base.py:233: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", | |
| " m = zeros((N, M), dtype=dtype)\n", | |
| "/Users/miyoshi/.pyenv/versions/anaconda3-4.1.1/lib/python3.5/site-packages/numpy/lib/twodim_base.py:240: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", | |
| " m[:M-k].flat[i::M+1] = 1\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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RfL+vWbFA37Nbo6J8cfRoO0aOHPiMVEeS6qxIQLqxMS77DGSGa3f9rUbV3Ysv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mfOKPH3v/t2DGZkdGHnzjrMndsfggD87Gfdf+B9770I/OY3Okya1I59+6qh0/GsEPXM3V0YT5w4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\nAqZgE5QJcEKCE+XlnHtIJKe4OCfOn9fgo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SgpCYHdHoGEBBtMJieLawQZlkL2ASVfElBq\nbIzLO4FYdvVSH388ANu3hyMrq94n6+0q9X1kXN5TamyB2iZPn9bgllsGoaioyvODu1FTo8ayZVHQ\naET88Y91iI4WFfs+Mi7vKDUuKe2RA/tEJLsbb2zFyy/XsdgEkcyGDnXiwgUNnBJnmH3+eQh+9KPB\n+MEPLmLr1lpER/erMTYKIgqo9UJERERKEBoKGI2uYhixsd59IP3zn8OQnR2Jdevq8ZOfyLMMJ1FP\nMQEmIiIit/Z5wD1NgFtbgVWrDCgsDMX27TWsoEj9AhNgIiIicvu2Gpzn4hFnz6px993RiIlx4oMP\nqqHXc8oD9Q+cA0xERERu7dXgPDlwIBRz5sTgxhvteO21Oia/1K9wBJiIiIjcYmOFyy6FJorA669H\n4PnnB+K556xISeGyhdT/MAEmIiIiN5PJiSNHQrrc19KiwsMPG/DNNyF4//1qjBjBgkTUP3EKBBER\nEbl1NwXi1CkNbr55MAAw+aV+jwkwERERublWgeiYHuTlDcDNNw/G7bc34/nnrQgL43xf6t8 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