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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "time_series_tutorial.ipynb",
"version": "0.3.2",
"provenance": []
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"metadata": {
"id": "Bep5LT8knUtT",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"# Time series analysis tutorial\n",
"\n",
"時系列解析は完全に素人なのである程度は知っておきたい\n",
"\n",
"個人的にいい具合まで進めたらkaggleの時系列でもやってみるつもり\n",
"\n",
"---\n",
"## References\n",
"- https://www.i-juse.co.jp/statistics/jirei/sympo/10/arima-model.html\n",
"- https://tjo.hatenablog.com/entry/2013/07/12/184704\n",
"- https://to-kei.net/time-series-analysis/time-series-analysis-stat/\n",
"- https://www.atmarkit.co.jp/ait/articles/1406/30/news005.html\n",
"- https://qiita.com/TomokIshii/items/b3ebe2b60c5d3d5a0d5a\n",
"---"
]
},
{
"metadata": {
"id": "LBbUT-anoqYH",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"---\n",
"\n",
"## Preface\n",
"時系列データは,通常,時間軸上で等間隔に観測される系列的なデータ群をいう.そのため,各観測値は独立であるという通常の統計解析における仮定が成立しないので,これらの時間軸上の構造的あるいは周期的変動を考慮した特有な分析手法が必要になる.\n",
"\n",
"\n",
"| 略 | モデル |\n",
"| --- | --- | \n",
"| AR\t| 自己回帰(Auto Regression)モデル| \n",
"| MA\t| 移動平均(Moving Average)モデル| \n",
"| ARMA\t| 自己回帰移動平均モデル| \n",
"| ARIMA| \t自己回帰和分移動平均モデル| \n",
"| ECT\t| 誤差修正自己回帰モデル| \n",
"| ARCH\t| 分散自己回帰モデル| \n",
"| GARCH\t| 一般化分散自己回帰モデル| \n",
"| SV\t| 確率的ボラティリティモデル(Stochastic Volatility)| \n",
"| MSM\t| マルコフスイッチングモデル(Markov Switching Model)| \n",
"| MSM\t| マルコフスイッチングマルチフラクタル(Markov Switching Multifractal)| \n",
"\n",
"\n",
"---\n",
"## Prerequisites\n",
"\n",
"- ラグ\n",
"\n",
"ある時点を基準にしたときの時間のズレのこと \n",
"$j$次ラグは$y_t$に対し$y_{t−j}$といった形で表現される\n",
"\n",
"- 確率過程\n",
"\n",
"$y_1, y_2, y_3, \\cdots$といった形の時間とともに変化する確率変数\n",
"\n",
"- 自己共分散\n",
"\n",
"自己共分散は現在と、ある時点前の過去のデータとの間の共分散\n",
"\n",
"$k$次の自己共分散は以下のように表される\n",
"\n",
"$$ {\\operatorname{Cov}\\left(y_{t}, y_{t-k}\\right)=E\\left[\\left(y_{t}-\\mu_{t}\\right)\\left(y_{t-k}-\\mu_{t-k}\\right)\\right]=\\gamma_{kt}} $$\n",
"\n",
"- 自己相関\n",
"\n",
"$j$時点前のデータに対してどれだけ相関があるかを意味する\n",
"\n",
"$$\n",
"p_{j t}=\\frac{\\operatorname{Cov}\\left(y_{t}, y_{t-j}\\right)}{\\sqrt{V\\left(y_{t}\\right) V\\left(y_{t-j}\\right)}}\n",
"$$\n",
"\n",
"定常性が仮定されるとき、$j$次の自己相関は$p_j$と表される\n",
"\n",
"- 偏自己相関\n",
"\n",
"ある時点同士だけの関係性。偏相関と同じ\n",
"\n",
"---"
]
},
{
"metadata": {
"id": "GAQ4ECT0BBSq",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"---\n",
"## 定常性とホワイトノイズ\n",
"\n",
"- 定常性\n",
"\n",
"平たくいえば「時間が経っても全体で見ればその時系列は変わらない」という性質\n",
"\n",
"\n",
"定常性は同時分布や基本統計量の時間不変性に関するものであり、何を不変とするかによって\n",
"1. 弱定常性\n",
"2. 強定常性\n",
"\n",
"の2つに分かれる\n",
"\n",
"弱定常性は過程の期待値と自己共分散が時間を通じて一定であるというもの\n",
"\n",
"任意のtとkに対して、\n",
"$$\n",
"\\begin{array}{l}{E\\left(y_{t}\\right)=\\mu} \\\\ \n",
"{\\operatorname{Cov}\\left(y_{t}, y_{t-k}\\right)=E\\left[\\left(y_{t}-\\mu\\right)\\left(y_{t-k}-\\mu\\right)\\right]=\\gamma_{k}}\\end{array}\n",
"$$\n",
"が成立する場合、過程は弱定常といわれる\n",
"\n",
"一方、強定常性は同時分布が不変であるというもの\n",
"\n",
"任意のtとkに対して、\n",
"$$\n",
"\\left(y_{t}, y_{t+1}, \\cdots, y_{t+k}\\right)^{\\prime}\n",
"$$\n",
"の同時分布が同一である場合、過程は強定常といわれる\n",
"\n",
"ただし同時分布が多変量正規分布の場合は正規過程と呼ばれ、弱定常性と強定常性が同値になる\n",
"\n",
"**しかし** \n",
"あいにく、定常性が成立することは多くない、そういったデータは対数変換などの処理がなされる\n",
"\n",
"- ホワイトノイズ\n",
"\n",
"一般線形回帰を知ってるなら話は早い、それでいう誤差$\\epsilon$のようなもの\n",
"\n",
"任意の$t\\neq 0, j\\in\\mathbb{Z}_+$に対して\n",
"$$\n",
"\\begin{array}{l}{E\\left(\\varepsilon_{t}\\right)=0, \\operatorname{Var}\\left(\\varepsilon_{t}\\right)=\\sigma^{2}} \\\\ {\\gamma_{j}=\\operatorname{Cov}\\left(\\varepsilon_{t}, \\varepsilon_{t-j}\\right)=0}\\end{array}\n",
"$$\n",
"\n",
"が成立するとき、$\\epsilon_t$はホワイトノイズである.時系列モデルにおいてバラツキを表すホワイトノイズを攪乱項とよぶ\n",
"\n",
"また、定義より、ホワイトノイズは定常性を満たす\n",
"\n",
"---\n",
"\n"
]
},
{
"metadata": {
"id": "KhY7eTjy7dHP",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 170
},
"outputId": "95f36312-6e9f-407a-9cd4-a4a178c2d7b9"
},
"cell_type": "code",
"source": [
"# https://machinelearningmastery.com/white-noise-time-series-python/\n",
"\n",
"from random import gauss\n",
"from random import seed\n",
"from pandas import Series\n",
"from pandas.tools.plotting import autocorrelation_plot\n",
"\n",
"seed(1)\n",
"\n",
"series = [gauss(0.0, 1.0) for i in range(1000)]\n",
"series = Series(series)\n",
"\n",
"series.describe()"
],
"execution_count": 107,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"count 1000.000000\n",
"mean -0.013222\n",
"std 1.003685\n",
"min -2.961214\n",
"25% -0.684192\n",
"50% -0.010934\n",
"75% 0.703915\n",
"max 2.737260\n",
"dtype: float64"
]
},
"metadata": {
"tags": []
},
"execution_count": 107
}
]
},
{
"metadata": {
"id": "D1CD5nawCMZr",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 394
},
"outputId": "944b5bc4-3490-4162-85ef-859a8e65fb86"
},
"cell_type": "code",
"source": [
"import matplotlib.pyplot as plt\n",
"plt.figure(figsize=(20, 6))\n",
"\n",
"plt.subplot(1,2,1)\n",
"series.plot()\n",
"\n",
"plt.subplot(1,2,2)\n",
"series.hist()"
],
"execution_count": 108,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f292b9b4080>"
]
},
"metadata": {
"tags": []
},
"execution_count": 108
},
{
"output_type": "display_data",
"data": {
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ewdxZTTj5hOOkZZ5aexDbD/Tj+vtfwW2XvT9yn6LVe7icfQxU6RBS86kn/E+2qoRqZS9S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\n",
"text/plain": [
"<Figure size 1440x432 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "Pj_skJEXDDG9",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 463
},
"outputId": "37d9acd6-d73d-44c4-ebfb-290917adfdc7"
},
"cell_type": "code",
"source": [
"autocorrelation_plot(series)\n",
"# ラインは信頼区間[95%から99%]"
],
"execution_count": 109,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:1: FutureWarning: 'pandas.tools.plotting.autocorrelation_plot' is deprecated, import 'pandas.plotting.autocorrelation_plot' instead.\n",
" \"\"\"Entry point for launching an IPython kernel.\n"
],
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f292d921cc0>"
]
},
"metadata": {
"tags": []
},
"execution_count": 109
},
{
"output_type": "display_data",
"data": {
"image/png": 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K6HQPnI9NFof5/5GOS5cnoPcLDuq9/KZRL5/HFzB/v8+yx9/cr2arUxuy64/5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\ncH5Y1CKn26/5Myfousvna3N+kwoP2JR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BXsQjzg2/xVO0iMwpF9Fdvx1HVhUAo8O98hiV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\nAAAAAAolkAIAAACgUP8Luu7eqf8U3NYAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1440x432 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "FI-Mmm80VwPW",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 293
},
"outputId": "dfdecb9b-acec-4b52-f456-8ad78fc53b96"
},
"cell_type": "code",
"source": [
"import statsmodels.api as sm\n",
"\n",
"# コレログラム\n",
"\n",
"# selfcorr = sm.tsa.stattools.acf(series, nlags=40)\n",
"\n",
"fig = plt.figure(figsize=(15, 4))\n",
"\n",
"ax1 = fig.add_subplot(211)\n",
"\n",
"sm.graphics.tsa.plot_acf(series, lags=40, ax=ax1)\n",
"\n",
"ax2 = fig.add_subplot(212)\n",
"\n",
"sm.graphics.tsa.plot_pacf(series, lags=40, ax=ax2)\n",
"\n",
"plt.tight_layout()"
],
"execution_count": 110,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"text/plain": [
"<Figure size 1080x288 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "kvup6lUxA6lT",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"---\n",
"\n",
"# モデルについて\n",
"\n",
"---\n",
"## Auto Regressive\n",
"\n",
"$$\n",
"y_{t}=\\varphi_{1} y_{t-1}+\\varphi_{2} y_{t-2}+\\cdots+\\varphi_{p} y_{t-y}+\\varepsilon_{t}\n",
"$$\n",
"\n",
"\n",
"\n",
"$y_t$は$p$次の自己回帰過程或はAR過程と呼ばれる\n",
"\n",
"上式を$p$次の自己回帰モデルあるいはARモデルという,\n",
"\n",
"$\\varepsilon_{t}$はホワイトノイズ\n",
"\n",
"\n",
"\n",
"---"
]
},
{
"metadata": {
"id": "lQXNp3__slRT",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 448
},
"outputId": "8a6a7808-227b-4a63-9200-2648e60e9bb6"
},
"cell_type": "code",
"source": [
"from pylab import rcParams\n",
"rcParams['figure.figsize'] = 20,6\n",
"\n",
"url ='https://raw.githubusercontent.com/upul/WhiteBoard/master/data/melbourne_temperature_test.csv'\n",
" \n",
"from statsmodels.tsa.ar_model import AR\n",
"from sklearn.metrics import mean_squared_error\n",
"\n",
"series = Series.from_csv(url, header=0)\n",
"\n",
"plt.plot(series)"
],
"execution_count": 111,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/pandas/core/series.py:2890: FutureWarning: from_csv is deprecated. Please use read_csv(...) instead. Note that some of the default arguments are different, so please refer to the documentation for from_csv when changing your function calls\n",
" infer_datetime_format=infer_datetime_format)\n"
],
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f292c44b630>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 111
},
{
"output_type": "display_data",
"data": {
"image/png": 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0EuZlsvNn4CVdfvMNlnT1DgWfPtAKSrrsoDX7vzv/BTh77wQ0zftDzZ3hY8cF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\n4UivJKmyKqia2niWXqi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"text/plain": [
"<Figure size 1440x432 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "BFjwLIGJU8IZ",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 463
},
"outputId": "e7570943-0e78-45e5-9562-630d187c259a"
},
"cell_type": "code",
"source": [
"autocorrelation_plot(series)"
],
"execution_count": 112,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:1: FutureWarning: 'pandas.tools.plotting.autocorrelation_plot' is deprecated, import 'pandas.plotting.autocorrelation_plot' instead.\n",
" \"\"\"Entry point for launching an IPython kernel.\n"
],
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f292bd68780>"
]
},
"metadata": {
"tags": []
},
"execution_count": 112
},
{
"output_type": "display_data",
"data": {
"image/png": 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Jn988THHl4Oh/JyIiIiIiA8u8Zs2aNf4OcS60tnb6O0IvhmEQbrex83AV1Q3thARbiQwN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\nCQAAAIBC/g90UAluQ3ajyAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1440x432 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "1NIb2roWZC0W",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 293
},
"outputId": "92baf01a-9486-4980-edfe-d9da24f90ca9"
},
"cell_type": "code",
"source": [
"fig = plt.figure(figsize=(15, 4))\n",
"\n",
"ax1 = fig.add_subplot(211)\n",
"\n",
"sm.graphics.tsa.plot_acf(series, lags=40, ax=ax1)\n",
"\n",
"ax2 = fig.add_subplot(212)\n",
"\n",
"sm.graphics.tsa.plot_pacf(series, lags=40, ax=ax2)\n",
"\n",
"plt.tight_layout()"
],
"execution_count": 113,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"text/plain": [
"<Figure size 1080x288 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "MyWR3UPWwubr",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 408
},
"outputId": "3990a215-ef21-4c4c-c4c2-f8849fdaa377"
},
"cell_type": "code",
"source": [
"# https://ja.wikipedia.org/wiki/赤池情報量規準\n",
"\n",
"X = series.values\n",
"train, test = X[1:len(X)-7], X[len(X)-7:]\n",
"\n",
"model = AR(train)\n",
"model_fit = model.fit(ic='aic')\n",
"# print('Lag: %s' % model_fit.k_ar)\n",
"# print('Coefficients: %s' % model_fit.params)\n",
"\n",
"predictions = model_fit.predict(start=len(train), end=len(train)+len(test)-1, dynamic=False)\n",
"\n",
"# for i in range(len(predictions)):\n",
"# \tprint('predicted=%f, expected=%f' % (predictions[i], test[i]))\n",
"# error = mean_squared_error(test, predictions)\n",
"print('Test MSE: %.3f' % error)\n",
"\n",
"plt.plot(test, label='test')\n",
"plt.plot(predictions, color='red', label='pred')\n",
"\n",
"plt.legend()"
],
"execution_count": 114,
"outputs": [
{
"output_type": "stream",
"text": [
"Test MSE: 7.598\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f292b6f52e8>"
]
},
"metadata": {
"tags": []
},
"execution_count": 114
},
{
"output_type": "display_data",
"data": {
"image/png": 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clCiK2LavGDv2l0Dn54G/3j4W/r4eUpc1ZOLC/bDo2ng0t1mwZks6WtstUpdEZFcYChER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\n",
"text/plain": [
"<Figure size 1440x432 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "tm-yISSgsNtZ",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"---\n",
"## Moving Average\n",
"\n",
"$$\n",
"y_{t}=\\varepsilon_{t}-\\theta_{1} \\varepsilon_{t-1}-\\theta_{2} E_{t-2}-\\cdots-\\theta_{q} E_{q}\n",
"$$\n",
"\n",
"$\\epsilon_t$はホワイトノイズである.上式を$q$次のMAモデル或は移動平均モデルという.\n",
"\n",
"\n",
"---"
]
},
{
"metadata": {
"id": "wmU8oANnA7Tl",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 471
},
"outputId": "580f322f-5d87-4153-d47c-58a2cfc30f6f"
},
"cell_type": "code",
"source": [
"# https://machinelearningmastery.com/moving-average-smoothing-for-time-series-forecasting-python/\n",
"\n",
"# from pylab import rcParams\n",
"# rcParams['figure.figsize'] = 20,6\n",
"\n",
"series = Series.from_csv('https://raw.githubusercontent.com/jbrownlee/Datasets/master/daily-total-female-births.csv', header=1)\n",
"series.plot()"
],
"execution_count": 115,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/pandas/core/series.py:2890: FutureWarning: from_csv is deprecated. Please use read_csv(...) instead. Note that some of the default arguments are different, so please refer to the documentation for from_csv when changing your function calls\n",
" infer_datetime_format=infer_datetime_format)\n"
],
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f292db37160>"
]
},
"metadata": {
"tags": []
},
"execution_count": 115
},
{
"output_type": "display_data",
"data": {
"image/png": 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Wd7SEEEIIIWRhYFv24UgGNTtzGtxsOV7Ykh3w27Kz9I8QQvLR1+Fz22234Wd+5mfwC7/w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\nj+PTn/40nnnmGXz5y18GAHzlK1/Be9/73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Hv3mcKHQpvLtXSJMnwaKWMgLfSpSbGQwoc7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\ng8E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OnPnBto74gHM3owuoazw9PbVmzRpJtxK/wsJCSdK4cePs6/Tv31+nT59W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\nZ4UspzgAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1440x432 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "l9ty-VaaZTeE",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 293
},
"outputId": "ccf19607-09b6-45f6-b163-352e2d322f98"
},
"cell_type": "code",
"source": [
"fig = plt.figure(figsize=(15, 4))\n",
"\n",
"ax1 = fig.add_subplot(211)\n",
"\n",
"sm.graphics.tsa.plot_acf(series, lags=40, ax=ax1)\n",
"\n",
"ax2 = fig.add_subplot(212)\n",
"\n",
"sm.graphics.tsa.plot_pacf(series, lags=40, ax=ax2)\n",
"\n",
"plt.tight_layout()"
],
"execution_count": 116,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"text/plain": [
"<Figure size 1080x288 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "bOx_F49rKPar",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"The rolling() function on the Series Pandas object will automatically group observations into a window. You can specify the window size, and by default a trailing window is created. Once the window is created, we can take the mean value, and this is our transformed dataset."
]
},
{
"metadata": {
"id": "hNkpENq1KOuJ",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 417
},
"outputId": "248d3a6c-435f-4f33-a3a8-4367fb221a54"
},
"cell_type": "code",
"source": [
"rolling = series.rolling(window=3)\n",
"rolling_mean = rolling.mean()\n",
"\n",
"series.plot(label='data')\n",
"rolling_mean.plot(color='red', label='MA=3')\n",
"\n",
"plt.legend()"
],
"execution_count": 117,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f292b27f908>"
]
},
"metadata": {
"tags": []
},
"execution_count": 117
},
{
"output_type": "display_data",
"data": {
"image/png": 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bZ/Mt/45oahFQzyt4zxARUXkM+BARERFRy3hHbHfyeHG/efdVJ2f4yPfHln/7DiJHRzF0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\nl9MUUkPEmggAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1440x432 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "zlAfPQcsJBqD",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"---\n",
"## Autoregressive and Moving Average\n",
"\n",
"$p$次の自己回帰過程において,残差$\\epsilon_t$が$q$次の移動平均過程であるとき,$y_t$は\n",
"\n",
"$$\n",
"\\begin{array}{l}{y_{t}=c+\\phi_{1} y_{t-1}+\\cdots+\\phi_{p} y_{t-p}+\\epsilon_{t}+\\theta_{1} \\epsilon_{t-1}+\\cdots+\\theta_{q} \\epsilon_{t-q}} \\\\ {\\epsilon_{t} \\sim W \\cdot N .\\left(\\sigma^{2}\\right)}\\end{array}\n",
"$$\n",
"\n",
"これを次数$(p,q)$の自己回帰移動平均過程あるいはARMA過程と呼び,ARMA$(p,q)$と表す.\n",
"\n",
"$q$をゼロとしたときはARモデル,また$p$をゼロとしたときはMAモデルとなり,ARMAモデルはARモデルやMAモデルより一般的なモデルとなる.\n",
"\n",
"本来定常AR過程と定常MA過程の足し算なので、全体としては通常ならARMAモデルは定常な時系列過程となる\n",
"\n",
"\n",
"---"
]
},
{
"metadata": {
"id": "3I7-RV0Wclac",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## パラメータとモデルの選び方\n",
"\n",
"偏自己相関プロットから$p$の値を、自己相関プロットから$q$の値を類推する\n",
"\n",
"- 相関の高いものを選ぶ\n",
"\n",
"そして、いくつかのモデルの候補が出れば情報量を計算して最適なモデルを選ぶ\n",
"\n",
"\n",
"最適なモデルの選択の評価基準として一般的によく用いられるのが\n",
"- 赤池情報量規準(AIC:An Information Criterion、のちにAkaike's Information Criterion)\n",
"- ベイズ情報基準(BIC:Bayesian Information Criterion , SIC : Schwarz Information Criterion)"
]
},
{
"metadata": {
"id": "pwtX4CUBgWtq",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## 情報量について\n",
"\n",
"\n",
"話し始めると超絶長くなる気がしたから今回はリンクを貼ってまた記事書きます\n",
"\n",
"\n",
"- https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=5&ved=2ahUKEwigr9Xgu5DhAhWUFYgKHQjeBFMQFjAEegQIBRAB&url=http%3A%2F%2Fd.hatena.ne.jp%2Fhiroyukikojima%2F20140430%2F1398842765&usg=AOvVaw0gD6VfmWDxgxhokRNIje1k\n",
"- http://matuisi.main.jp/wp-content/uploads/2013/05/AIC.pdf\n",
"- https://www.phys.chuo-u.ac.jp/public/tag/kougi/2004/toukei/presen6.pdf\n",
"\n",
"---\n",
"\n",
"- https://blog.albert2005.co.jp/2016/04/19/ベイズ情報量規準及びその発展-~概説編~/\n",
"- http://gcoe.ier.hit-u.ac.jp/vox/017.html\n",
"- https://ameblo.jp/yusaku-ohkubo/entry-12257909424.html"
]
},
{
"metadata": {
"id": "wjr8U4BJJCB-",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 193
},
"outputId": "e354dacd-c75d-47ab-e1cf-afb15225f1d8"
},
"cell_type": "code",
"source": [
"# http://ytaishiro.hatenablog.com/entry/2018/01/25/053815\n",
"\n",
"from statsmodels.tsa import stattools as st\n",
"\n",
"# 上のライブラリでARMAの字数が決定される、情報量としてここれはaicを用いた。\n",
"# bicなどもあり、これらについてはまた別の機会に触れる予定\n",
"# http://www.orsj.or.jp/~archive/pdf/bul/Vol.41_07_375.pdf\n",
"\n",
"from statsmodels.tsa.arima_model import ARMA\n",
"\n",
"info_criteria = st.arma_order_select_ic(train, ic=['aic', 'bic'])\n",
"\n",
"print(info_criteria.aic_min_order)\n",
"print(info_criteria.bic_min_order)"
],
"execution_count": 124,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/statsmodels/tsa/kalmanf/kalmanfilter.py:646: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
" if issubdtype(paramsdtype, float):\n",
"/usr/local/lib/python3.6/dist-packages/statsmodels/tsa/kalmanf/kalmanfilter.py:650: FutureWarning: Conversion of the second argument of issubdtype from `complex` to `np.complexfloating` is deprecated. In future, it will be treated as `np.complex128 == np.dtype(complex).type`.\n",
" elif issubdtype(paramsdtype, complex):\n",
"/usr/local/lib/python3.6/dist-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
" \"Check mle_retvals\", ConvergenceWarning)\n"
],
"name": "stderr"
},
{
"output_type": "stream",
"text": [
"(3, 1)\n",
"(3, 1)\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "C9574IT-AiiL",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 530
},
"outputId": "54b347dd-99ab-4f8c-83fe-2a5e7b63e7dd"
},
"cell_type": "code",
"source": [
"model = ARMA(train, order=[3, 1])\n",
"\n",
"# このmaxlagというものがよくわからない、ちなみになしで実行するとエラーが出た\n",
"model_fit = model.fit(maxlags=7, ic='aic')\n",
"\n",
"print('ARMA(3,1): AIC = %.2f' % model_fit.aic)\n",
"\n",
"\n",
"predictions = model_fit.predict(start=len(train), end=len(train)+len(test)-1, dynamic=False)\n",
"\n",
"plt.plot(test, label='test')\n",
"plt.plot(predictions, color='red', label='pred')\n",
"\n",
"plt.legend()"
],
"execution_count": 125,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/statsmodels/tsa/kalmanf/kalmanfilter.py:646: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
" if issubdtype(paramsdtype, float):\n"
],
"name": "stderr"
},
{
"output_type": "stream",
"text": [
"ARMA(3,1): AIC = 4893.13\n"
],
"name": "stdout"
},
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/statsmodels/tsa/kalmanf/kalmanfilter.py:650: FutureWarning: Conversion of the second argument of issubdtype from `complex` to `np.complexfloating` is deprecated. In future, it will be treated as `np.complex128 == np.dtype(complex).type`.\n",
" elif issubdtype(paramsdtype, complex):\n",
"/usr/local/lib/python3.6/dist-packages/statsmodels/tsa/kalmanf/kalmanfilter.py:577: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
" if issubdtype(paramsdtype, float):\n"
],
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f292afa2e80>"
]
},
"metadata": {
"tags": []
},
"execution_count": 125
},
{
"output_type": "display_data",
"data": {
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LpY5EJAkWPkRERERERC5qT14dXnjvIGQy4P6b0jAl3ip1JLegUspx342pCDBp8eG35fgq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\nTnHtzJ2SYpk/bIgbZnu9Cg0cXHtlrEixE8rNl92pk0PBAQA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"text/plain": [
"<Figure size 1440x432 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "OiTfMD_T9MPJ",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Autoregressive, Integrated and Moving Average\n",
"\n",
"ARIMAモデルはBox & Jenkins(1976)によって最初に導出された.\n",
"\n",
"モデルには,3つのタイプパラメータ\n",
"- 自己回帰パラメータ(p)\n",
"- 差分の階数(d)\n",
"- 移動平均パラメータ(q) \n",
"\n",
"が含まれる.\n",
"\n",
"\n",
"時系列データの分析において,多くの場合,時系列の統計的な性質が時間の推移によって変化しない定常過程を前提として分析が行われる.\n",
"\n",
">平均値,分散が観測時刻によらず一定値である時系列データである.そのため,非定常な時系列データに対しては,事前に差分変換,対数変換,平方根変換などの変換処理を行うことによって,定常化することはよく行われる.\n",
"\n",
"\n",
"ARIMAモデルは非定常過程に対する時系列モデルである.上で述べたように,ARMAモデルは定常な時系列過程を前提としてきた.\n",
"\n",
"時系列において平均値が時間的に変動する場合(傾向変動が見受けられる場合など)は非常によく見受けられるものであり,それらに対して,ARMAモデルはそのままでは適用できない.\n",
"\n",
"そのため,平均値揺動を取り除くために様々な方法が用いられるが,時系列の階差をとり,その階差時系列に対してARMAモデルを適用する.\n"
]
},
{
"metadata": {
"id": "ZtQ68jPsFcj7",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"1次階差時系列$x_t$は次のように算出される\n",
"$$\n",
"x_t = y_t - y_{t-1}\n",
"$$\n",
"\n",
"同様に2次の階差時系列$z_t$は\n",
"\n",
"$$\n",
"z_t = x_t - x_{t-1} = (y_t - y_{t-1}) - (y_{t-1} - y_{t-2})\n",
"$$\n",
"\n",
"\n",
"一般に$d$階差の時系列$z_t$にARMAモデルに適用したものが,ARIMAモデルである.\n",
"\n",
"ARMAモデルの場合と同様に,階差$d$の時系列を$p$次のAR,$q$次のMAモデルに適用したARIMAモデルをARIMA$(p,d,q)$と表す.\n"
]
},
{
"metadata": {
"id": "iEHBsuL4GnfA",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## ARIMAのパラメータの決め方\n",
"- https://machinelearningmastery.com/tune-arima-parameters-python/"
]
},
{
"metadata": {
"id": "Yu0IJIpp9M3V",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"from statsmodels.tsa.arima_model import ARMA,ARIMA\n",
"from statsmodels.tsa.statespace.sarimax import SARIMAX\n",
"\n",
"# https://machinelearningmastery.com/tune-arima-parameters-python/"
],
"execution_count": 0,
"outputs": []
}
]
}
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