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Lab_17_intro_to_ML_time_series_part_I.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Lab_17_intro_to_ML_time_series_part_I.ipynb",
"provenance": [],
"collapsed_sections": [],
"authorship_tag": "ABX9TyO7KYEE68Ns1UBvhGkSVCqm",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/jamm1985/713c9bee5fc9a97f1d2085e47bf02052/lab_17_intro_to_ml_time_series_part_i.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"source": [
"Видео лабораторной: https://youtu.be/SeGk8X2i_R0\n",
"\n",
"TG: https://t.me/data_science_news\n",
"\n",
"\n",
"\n",
"---\n",
"\n"
],
"metadata": {
"id": "UP-BkwWKJLry"
}
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "QQlh_V2uoTYc",
"outputId": "685af557-e2ad-4a8e-aae6-4350eac8b2dc"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Requirement already satisfied: statsmodels==0.13.0 in /usr/local/lib/python3.7/dist-packages (0.13.0)\n",
"Requirement already satisfied: pyreadr in /usr/local/lib/python3.7/dist-packages (0.4.4)\n",
"Requirement already satisfied: numpy>=1.17 in /usr/local/lib/python3.7/dist-packages (from statsmodels==0.13.0) (1.21.6)\n",
"Requirement already satisfied: scipy>=1.3 in /usr/local/lib/python3.7/dist-packages (from statsmodels==0.13.0) (1.4.1)\n",
"Requirement already satisfied: pandas>=0.25 in /usr/local/lib/python3.7/dist-packages (from statsmodels==0.13.0) (1.3.5)\n",
"Requirement already satisfied: patsy>=0.5.2 in /usr/local/lib/python3.7/dist-packages (from statsmodels==0.13.0) (0.5.2)\n",
"Requirement already satisfied: python-dateutil>=2.7.3 in /usr/local/lib/python3.7/dist-packages (from pandas>=0.25->statsmodels==0.13.0) (2.8.2)\n",
"Requirement already satisfied: pytz>=2017.3 in /usr/local/lib/python3.7/dist-packages (from pandas>=0.25->statsmodels==0.13.0) (2022.1)\n",
"Requirement already satisfied: six in /usr/local/lib/python3.7/dist-packages (from patsy>=0.5.2->statsmodels==0.13.0) (1.15.0)\n"
]
}
],
"source": [
"# install the latest statsmodels package\n",
"!pip install statsmodels==0.13.0 pyreadr"
]
},
{
"cell_type": "code",
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"\n",
"import pyreadr\n",
"from scipy import signal\n",
"\n",
"from sklearn.linear_model import LinearRegression\n",
"from sklearn.preprocessing import PolynomialFeatures\n",
"\n",
"import matplotlib.pyplot as plt\n",
"from statsmodels.graphics.tsaplots import plot_acf"
],
"metadata": {
"id": "mDdq2hEkpMKL"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"source": [
"Shumway R. H., Stoffer D. S. Time series analysis and its applications: with R examples. – 2007.\n",
"\n",
"https://link.springer.com/book/10.1007/978-3-319-52452-8"
],
"metadata": {
"id": "EfSJJdHTtX3K"
}
},
{
"cell_type": "markdown",
"source": [
"# Понятие временного ряда\n",
"\n",
"Временной ряд - это набор измерений во времени $x_1, x_2,...,x_n$. Статистическая модель предполагает, что $x_1, x_2,...,x_n$ это реализации случайных величин $X_1,...,X_n$ (необязательно независимых!)."
],
"metadata": {
"id": "B30uVg5qsPR4"
}
},
{
"cell_type": "markdown",
"source": [
"## Примеры времянных рядов"
],
"metadata": {
"id": "rBrQoAl2s6Oo"
}
},
{
"cell_type": "code",
"source": [
"# JJ data\n",
"# Johnson & Johnson quarterly earnings per share, 84 quarters, 1960-I to 1980-IV.\n",
"# https://github.com/marcopeix/TimeSeriesForecastingInPython\n",
"\n",
"jj_data = pd.read_csv('https://raw.githubusercontent.com/marcopeix/AppliedTimeSeriesAnalysisWithPython/main/data/jj.csv',\n",
" index_col=0,\n",
" parse_dates=True)\n",
"jj_data.head()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 237
},
"id": "jskDxBWgpXC7",
"outputId": "8de5fbce-6c38-4bdc-c707-c2ebf083923c"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" data\n",
"date \n",
"1960-01-01 0.71\n",
"1960-04-01 0.63\n",
"1960-07-02 0.85\n",
"1960-10-01 0.44\n",
"1961-01-01 0.61"
],
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"\n",
" <div id=\"df-92b8699f-2c23-42cc-a6b6-1e7bdb594715\">\n",
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" <th></th>\n",
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" <th>date</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1960-01-01</th>\n",
" <td>0.71</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1960-04-01</th>\n",
" <td>0.63</td>\n",
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" <tr>\n",
" <th>1960-07-02</th>\n",
" <td>0.85</td>\n",
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" <tr>\n",
" <th>1960-10-01</th>\n",
" <td>0.44</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1961-01-01</th>\n",
" <td>0.61</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
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" <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-92b8699f-2c23-42cc-a6b6-1e7bdb594715')\"\n",
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" background-color: #E8F0FE;\n",
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"\n",
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"\n",
" async function convertToInteractive(key) {\n",
" const element = document.querySelector('#df-92b8699f-2c23-42cc-a6b6-1e7bdb594715');\n",
" const dataTable =\n",
" await google.colab.kernel.invokeFunction('convertToInteractive',\n",
" [key], {});\n",
" if (!dataTable) return;\n",
"\n",
" const docLinkHtml = 'Like what you see? Visit the ' +\n",
" '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
" + ' to learn more about interactive tables.';\n",
" element.innerHTML = '';\n",
" dataTable['output_type'] = 'display_data';\n",
" await google.colab.output.renderOutput(dataTable, element);\n",
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]
},
"metadata": {},
"execution_count": 65
}
]
},
{
"cell_type": "code",
"source": [
"jj_data.plot(figsize=(15,10),fontsize=15)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 592
},
"id": "Cs1CF8VMvRuc",
"outputId": "6a203c29-760c-45ef-b790-d885fa345191"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f682967d850>"
]
},
"metadata": {},
"execution_count": 66
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
],
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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"# minimum daily temperatures over 10 years (1981-1990) in the city Melbourne, Australia.\n",
"temp_data = pd.read_csv('https://raw.githubusercontent.com/jbrownlee/Datasets/master/daily-min-temperatures.csv', header=0, index_col=0, parse_dates=True, squeeze=True)\n",
"temp_data.head()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "nHiRSN_Jv_sz",
"outputId": "ebf04e13-cfb5-4d87-ec5e-882bc45c4b8e"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Date\n",
"1981-01-01 20.7\n",
"1981-01-02 17.9\n",
"1981-01-03 18.8\n",
"1981-01-04 14.6\n",
"1981-01-05 15.8\n",
"Name: Temp, dtype: float64"
]
},
"metadata": {},
"execution_count": 67
}
]
},
{
"cell_type": "code",
"source": [
"temp_data.plot(figsize=(15,10),fontsize=15)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 592
},
"id": "jdLBXk8tuaW7",
"outputId": "f7c8f637-9431-4849-a763-71b5473afb88"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f6829593d50>"
]
},
"metadata": {},
"execution_count": 68
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"# https://github.com/nickpoison/astsa/tree/master/astsa_build/data\n",
"\n",
"# https://www.ncdc.noaa.gov/teleconnections/enso/soi\n",
"\n"
],
"metadata": {
"id": "DfykH9uUu8t6"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"!wget https://github.com/nickpoison/astsa/blob/master/astsa_build/data/soi.rda?raw=true\n",
"! mv soi.rda?raw=true soi.rda\n",
"soi_data = pyreadr.read_r('soi.rda')\n",
"print(soi_data.keys())"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "2v92M52nDF3n",
"outputId": "ae6ccd5b-dfc1-4a48-ee31-0ca8015c53b8"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"--2022-05-04 05:26:27-- https://github.com/nickpoison/astsa/blob/master/astsa_build/data/soi.rda?raw=true\n",
"Resolving github.com (github.com)... 140.82.121.4\n",
"Connecting to github.com (github.com)|140.82.121.4|:443... connected.\n",
"HTTP request sent, awaiting response... 302 Found\n",
"Location: https://github.com/nickpoison/astsa/raw/master/astsa_build/data/soi.rda [following]\n",
"--2022-05-04 05:26:27-- https://github.com/nickpoison/astsa/raw/master/astsa_build/data/soi.rda\n",
"Reusing existing connection to github.com:443.\n",
"HTTP request sent, awaiting response... 302 Found\n",
"Location: https://raw.githubusercontent.com/nickpoison/astsa/master/astsa_build/data/soi.rda [following]\n",
"--2022-05-04 05:26:28-- https://raw.githubusercontent.com/nickpoison/astsa/master/astsa_build/data/soi.rda\n",
"Resolving raw.githubusercontent.com (raw.githubusercontent.com)... 185.199.108.133, 185.199.109.133, 185.199.110.133, ...\n",
"Connecting to raw.githubusercontent.com (raw.githubusercontent.com)|185.199.108.133|:443... connected.\n",
"HTTP request sent, awaiting response... 200 OK\n",
"Length: 1244 (1.2K) [application/octet-stream]\n",
"Saving to: ‘soi.rda?raw=true’\n",
"\n",
"soi.rda?raw=true 100%[===================>] 1.21K --.-KB/s in 0s \n",
"\n",
"2022-05-04 05:26:28 (81.4 MB/s) - ‘soi.rda?raw=true’ saved [1244/1244]\n",
"\n",
"odict_keys(['soi'])\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"!wget https://github.com/nickpoison/astsa/blob/master/astsa_build/data/rec.rda?raw=true\n",
"! mv rec.rda?raw=true rec.rda\n",
"rec_data = pyreadr.read_r('rec.rda')\n",
"print(rec_data.keys())"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "e8OFQrrtDVOc",
"outputId": "80fca83e-47eb-434d-f0ca-2a23491aca8b"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"--2022-05-04 05:26:45-- https://github.com/nickpoison/astsa/blob/master/astsa_build/data/rec.rda?raw=true\n",
"Resolving github.com (github.com)... 140.82.113.4\n",
"Connecting to github.com (github.com)|140.82.113.4|:443... connected.\n",
"HTTP request sent, awaiting response... 302 Found\n",
"Location: https://github.com/nickpoison/astsa/raw/master/astsa_build/data/rec.rda [following]\n",
"--2022-05-04 05:26:45-- https://github.com/nickpoison/astsa/raw/master/astsa_build/data/rec.rda\n",
"Reusing existing connection to github.com:443.\n",
"HTTP request sent, awaiting response... 302 Found\n",
"Location: https://raw.githubusercontent.com/nickpoison/astsa/master/astsa_build/data/rec.rda [following]\n",
"--2022-05-04 05:26:45-- https://raw.githubusercontent.com/nickpoison/astsa/master/astsa_build/data/rec.rda\n",
"Resolving raw.githubusercontent.com (raw.githubusercontent.com)... 185.199.108.133, 185.199.109.133, 185.199.110.133, ...\n",
"Connecting to raw.githubusercontent.com (raw.githubusercontent.com)|185.199.108.133|:443... connected.\n",
"HTTP request sent, awaiting response... 200 OK\n",
"Length: 1651 (1.6K) [application/octet-stream]\n",
"Saving to: ‘rec.rda?raw=true’\n",
"\n",
"rec.rda?raw=true 100%[===================>] 1.61K --.-KB/s in 0s \n",
"\n",
"2022-05-04 05:26:45 (22.1 MB/s) - ‘rec.rda?raw=true’ saved [1651/1651]\n",
"\n",
"odict_keys(['rec'])\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"soi_rec_data = soi_data['soi']\n",
"soi_rec_data['rec'] = rec_data['rec']\n",
"\n",
"soi_rec_data.head()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 206
},
"id": "je6EvhDVDcc9",
"outputId": "52454859-75af-4b0d-8576-53604b21d26e"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" soi rec\n",
"0 0.377 68.63\n",
"1 0.246 68.63\n",
"2 0.311 68.63\n",
"3 0.104 68.63\n",
"4 -0.016 68.63"
],
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"\n",
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},
"metadata": {},
"execution_count": 71
}
]
},
{
"cell_type": "code",
"source": [
"# Monthly SOI and Recruitment (estimated new fish), 1950-1987\n",
"soi_rec_data.plot(figsize=(15,10),fontsize=15,subplots=True, layout=(2,1))"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 650
},
"id": "uudpFxSPEoUp",
"outputId": "9b98abdb-7aa0-4270-b637-9a7b6fab7b1c"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([[<matplotlib.axes._subplots.AxesSubplot object at 0x7f682af10550>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7f682af3c110>]],\n",
" dtype=object)"
]
},
"metadata": {},
"execution_count": 72
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1080x720 with 2 Axes>"
],
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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"source": [
"# Статистика временных рядов\n",
"\n",
"Временной ряд это реализация случайных величин $X_1,...,X_n$ во времени.\n",
"\n",
"Частное математическое ожидание для каждого отдельно измерения: $\\mu_X(t)=E(X_t)$\n",
"\n",
"Частная дисперсия: $\\mathrm{Var}(X_t)=E[(X_t - \\mu_X(t))^2]$\n",
"\n",
"Автоковариация: $\\gamma_X(s,t)=\\mathrm{Cov}(X_s,X_t)=E[(X_s - \\mu_X(X_s))(X_t - \\mu_X(X_t))]$\n",
"\n",
"Автокорреляция (ACF): $\\rho_X(s,t)=\\frac{\\gamma_X(s,t)}{\\sqrt{\\gamma_X(s,s)\\gamma_X(t,t)}}$ \n",
"\n",
"### Слабая стационарность\n",
"\n",
"Математическое ожидание и дисперсия являются равными вне зависимости от времени: $\\mu_X(t)=\\mu_X$, $\\mathrm{Var}(X_t)=\\sigma_x^2$.\n",
"\n",
"### Сильная стационарность\n",
"\n",
"Распределение $X_t,...,X_{t+n}$ идентично распределению $X_{t+h},...,X_{t+n+h}$ для любых $t,n,h$\n",
"\n",
"### Оценка параметров для стационарных рядов\n",
"\n",
"Выборочное среднее: $\\bar{X}_n=\\frac{1}{n}\\sum_{t=1}^n x_t$\n",
"\n",
"Выборочная автоковариация: \n",
"\n",
"$$\\hat{\\gamma}_X(h)=\\frac{1}{n}\\sum_{t=1}^{n-|h|}(x_t-\\bar{X}_n)(x_{t+|h|}-\\bar{X}_n)$$ для $-n<h<n$,\n",
"\n",
"то есть $\\gamma(s,t)=\\gamma_X(|s-t|)$\n",
"\n",
"Выборочная автокорреляция: \n",
"\n",
"$$\\hat{\\rho}_X(h)=\\frac{\\hat{\\gamma}_X(h)}{\\hat{\\gamma}_X(0)}$$ для $-n<h<n$\n",
"\n",
"Дисперсия __оценки__ $\\mathrm{Var}(\\bar{X}_n)=\\frac{1}{n}\\sum_{h=-n}^n(1-\\frac{|h|}{n})\\gamma(h)$ зависит от $\\gamma$ так как условие i.i.d не выполняется"
],
"metadata": {
"id": "UfCSUCArPUTS"
}
},
{
"cell_type": "markdown",
"source": [
"# Поиск стационарности (вариант 1)\n",
"\n",
"Моделипование временного ряда по компонентам тренда. То есть, модель принимает вид: $X_t = T_t + S_t + Y_t$, где\n",
"\n",
"- $T_t$ - детерминестический тренд,\n",
"- $S_t$ - сезонные вариации,\n",
"- $Y_t$ - остаточная часть (стационарный процесс)."
],
"metadata": {
"id": "8UCTyAKEVKeG"
}
},
{
"cell_type": "markdown",
"source": [
"## Линейный детренд \n",
"\n",
"$x_t = \\beta_0 + \\beta_1 t + Y_t$"
],
"metadata": {
"id": "IkSHdSe4igiZ"
}
},
{
"cell_type": "code",
"source": [
"jj_data.plot(figsize=(15,10),fontsize=15)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 592
},
"id": "Fge4je40FcWi",
"outputId": "cc44637c-1b80-4a73-c8c5-4d483f959999"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f682973c9d0>"
]
},
"metadata": {},
"execution_count": 73
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"# https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LinearRegression.html\n",
"\n",
"x = np.arange(1, len(jj_data['data']) + 1).reshape(-1, 1)\n",
"y = jj_data['data'].to_numpy()\n",
"print(x.shape, y.shape)\n",
"reg = LinearRegression().fit(x, y)\n",
"reg.intercept_, reg.coef_"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "V1auYIOe_Kdm",
"outputId": "3f6ed821-3f5f-466c-bc37-770dc7439b8e"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"(84, 1) (84,)\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(-2.1297905774526704, array([0.16304829]))"
]
},
"metadata": {},
"execution_count": 74
}
]
},
{
"cell_type": "code",
"source": [
"x_predicted = reg.predict(x)\n",
"x_predicted"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "K-q7eCw3DQDr",
"outputId": "820abb1f-db2b-4dfc-c6d3-0b537b11c6a7"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([-1.96674228e+00, -1.80369399e+00, -1.64064570e+00, -1.47759740e+00,\n",
" -1.31454911e+00, -1.15150082e+00, -9.88452524e-01, -8.25404230e-01,\n",
" -6.62355937e-01, -4.99307643e-01, -3.36259350e-01, -1.73211056e-01,\n",
" -1.01627630e-02, 1.52885530e-01, 3.15933824e-01, 4.78982117e-01,\n",
" 6.42030411e-01, 8.05078704e-01, 9.68126998e-01, 1.13117529e+00,\n",
" 1.29422358e+00, 1.45727188e+00, 1.62032017e+00, 1.78336846e+00,\n",
" 1.94641676e+00, 2.10946505e+00, 2.27251334e+00, 2.43556164e+00,\n",
" 2.59860993e+00, 2.76165823e+00, 2.92470652e+00, 3.08775481e+00,\n",
" 3.25080311e+00, 3.41385140e+00, 3.57689969e+00, 3.73994799e+00,\n",
" 3.90299628e+00, 4.06604457e+00, 4.22909287e+00, 4.39214116e+00,\n",
" 4.55518945e+00, 4.71823775e+00, 4.88128604e+00, 5.04433433e+00,\n",
" 5.20738263e+00, 5.37043092e+00, 5.53347921e+00, 5.69652751e+00,\n",
" 5.85957580e+00, 6.02262409e+00, 6.18567239e+00, 6.34872068e+00,\n",
" 6.51176897e+00, 6.67481727e+00, 6.83786556e+00, 7.00091385e+00,\n",
" 7.16396215e+00, 7.32701044e+00, 7.49005873e+00, 7.65310703e+00,\n",
" 7.81615532e+00, 7.97920361e+00, 8.14225191e+00, 8.30530020e+00,\n",
" 8.46834849e+00, 8.63139679e+00, 8.79444508e+00, 8.95749338e+00,\n",
" 9.12054167e+00, 9.28358996e+00, 9.44663826e+00, 9.60968655e+00,\n",
" 9.77273484e+00, 9.93578314e+00, 1.00988314e+01, 1.02618797e+01,\n",
" 1.04249280e+01, 1.05879763e+01, 1.07510246e+01, 1.09140729e+01,\n",
" 1.10771212e+01, 1.12401695e+01, 1.14032178e+01, 1.15662661e+01])"
]
},
"metadata": {},
"execution_count": 75
}
]
},
{
"cell_type": "code",
"source": [
"jj_data[\"detrended_1\"] = jj_data[\"data\"] - x_predicted\n",
"jj_data"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 455
},
"id": "9zfaLNCOAWnV",
"outputId": "c5269681-9cb5-498b-c6ed-8ce500368dd7"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" data detrended_1\n",
"date \n",
"1960-01-01 0.71 2.676742\n",
"1960-04-01 0.63 2.433694\n",
"1960-07-02 0.85 2.490646\n",
"1960-10-01 0.44 1.917597\n",
"1961-01-01 0.61 1.924549\n",
"... ... ...\n",
"1979-10-01 9.99 -0.924073\n",
"1980-01-01 16.20 5.122879\n",
"1980-04-01 14.67 3.429831\n",
"1980-07-02 16.02 4.616782\n",
"1980-10-01 11.61 0.043734\n",
"\n",
"[84 rows x 2 columns]"
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" <th>1960-01-01</th>\n",
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" <tr>\n",
" <th>1960-04-01</th>\n",
" <td>0.63</td>\n",
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" <tr>\n",
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" <th>1979-10-01</th>\n",
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" <tr>\n",
" <th>1980-01-01</th>\n",
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"metadata": {},
"execution_count": 76
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]
},
{
"cell_type": "code",
"source": [
"# https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.detrend.html\n",
"\n",
"jj_data[\"detrended_2\"] = signal.detrend(y)\n",
"jj_data"
],
"metadata": {
"id": "Yigq2K-ijECh",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 455
},
"outputId": "cb8963bb-c446-41fa-fde2-162db919851c"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" data detrended_1 detrended_2\n",
"date \n",
"1960-01-01 0.71 2.676742 2.676742\n",
"1960-04-01 0.63 2.433694 2.433694\n",
"1960-07-02 0.85 2.490646 2.490646\n",
"1960-10-01 0.44 1.917597 1.917597\n",
"1961-01-01 0.61 1.924549 1.924549\n",
"... ... ... ...\n",
"1979-10-01 9.99 -0.924073 -0.924073\n",
"1980-01-01 16.20 5.122879 5.122879\n",
"1980-04-01 14.67 3.429831 3.429831\n",
"1980-07-02 16.02 4.616782 4.616782\n",
"1980-10-01 11.61 0.043734 0.043734\n",
"\n",
"[84 rows x 3 columns]"
],
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" <tr>\n",
" <th>date</th>\n",
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" <td>2.676742</td>\n",
" <td>2.676742</td>\n",
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" <tr>\n",
" <th>1960-04-01</th>\n",
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" <td>2.433694</td>\n",
" <td>2.433694</td>\n",
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" <tr>\n",
" <th>1960-07-02</th>\n",
" <td>0.85</td>\n",
" <td>2.490646</td>\n",
" <td>2.490646</td>\n",
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" <tr>\n",
" <th>1960-10-01</th>\n",
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" <td>1.917597</td>\n",
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" <tr>\n",
" <th>1961-01-01</th>\n",
" <td>0.61</td>\n",
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" <td>1.924549</td>\n",
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" <tr>\n",
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" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
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" <tr>\n",
" <th>1979-10-01</th>\n",
" <td>9.99</td>\n",
" <td>-0.924073</td>\n",
" <td>-0.924073</td>\n",
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" <tr>\n",
" <th>1980-01-01</th>\n",
" <td>16.20</td>\n",
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" <td>5.122879</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-04-01</th>\n",
" <td>14.67</td>\n",
" <td>3.429831</td>\n",
" <td>3.429831</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-07-02</th>\n",
" <td>16.02</td>\n",
" <td>4.616782</td>\n",
" <td>4.616782</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-10-01</th>\n",
" <td>11.61</td>\n",
" <td>0.043734</td>\n",
" <td>0.043734</td>\n",
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"\n",
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"\n",
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" '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
" + ' to learn more about interactive tables.';\n",
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" }\n",
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]
},
"metadata": {},
"execution_count": 77
}
]
},
{
"cell_type": "code",
"source": [
"jj_data[[\"data\",\"detrended_1\"]].plot(figsize=(15,10),fontsize=15,subplots=True, layout=(2,1))"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 627
},
"id": "SW6hXKjxgkJg",
"outputId": "4cf0c202-5b13-4c00-c7e1-de83f8843395"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([[<matplotlib.axes._subplots.AxesSubplot object at 0x7f6829702f50>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7f682994c9d0>]],\n",
" dtype=object)"
]
},
"metadata": {},
"execution_count": 78
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1080x720 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"source": [
"## Полиномиальный детренд\n",
"\n",
"$$x_t = \\beta_1 t + \\beta_2 t^2 + Y_t$$"
],
"metadata": {
"id": "dtaV4nrAMwvl"
}
},
{
"cell_type": "code",
"source": [
"# https://scikit-learn.org/stable/modules/generated/sklearn.preprocessing.PolynomialFeatures.html\n",
"x_2 = PolynomialFeatures(2, include_bias=False).fit_transform(x)\n",
"x_2[:10]"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "eQ3Y1C6UF0NJ",
"outputId": "415ff47b-5e2f-446b-9c84-6b21c82097d2"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([[ 1., 1.],\n",
" [ 2., 4.],\n",
" [ 3., 9.],\n",
" [ 4., 16.],\n",
" [ 5., 25.],\n",
" [ 6., 36.],\n",
" [ 7., 49.],\n",
" [ 8., 64.],\n",
" [ 9., 81.],\n",
" [ 10., 100.]])"
]
},
"metadata": {},
"execution_count": 79
}
]
},
{
"cell_type": "code",
"source": [
"print(x_2.shape, y.shape)\n",
"reg_2 = LinearRegression(fit_intercept=False).fit(x_2, y)\n",
"reg_2.coef_"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "5scHiv_mHP3k",
"outputId": "b58ead0d-c3e0-4daa-92b9-00e22e4a176d"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"(84, 2) (84,)\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([-0.00957366, 0.00212733])"
]
},
"metadata": {},
"execution_count": 80
}
]
},
{
"cell_type": "code",
"source": [
"x_2_predicted = reg_2.predict(x_2)\n",
"jj_data[\"detrended_poly\"] = jj_data[\"data\"] - x_2_predicted\n",
"jj_data"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 455
},
"id": "ibVt8EcRH1h2",
"outputId": "86cebc8b-2316-4c1d-9eed-88d4cb3e49be"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" data detrended_1 detrended_2 detrended_poly\n",
"date \n",
"1960-01-01 0.71 2.676742 2.676742 0.717446\n",
"1960-04-01 0.63 2.433694 2.433694 0.640638\n",
"1960-07-02 0.85 2.490646 2.490646 0.859575\n",
"1960-10-01 0.44 1.917597 1.917597 0.444257\n",
"1961-01-01 0.61 1.924549 1.924549 0.604685\n",
"... ... ... ... ...\n",
"1979-10-01 9.99 -0.924073 -0.924073 -2.859040\n",
"1980-01-01 16.20 5.122879 5.122879 3.018033\n",
"1980-04-01 14.67 3.429831 3.429831 1.150852\n",
"1980-07-02 16.02 4.616782 4.616782 2.159416\n",
"1980-10-01 11.61 0.043734 0.043734 -2.596275\n",
"\n",
"[84 rows x 4 columns]"
],
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" <th>detrended_2</th>\n",
" <th>detrended_poly</th>\n",
" </tr>\n",
" <tr>\n",
" <th>date</th>\n",
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" <th></th>\n",
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" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1960-01-01</th>\n",
" <td>0.71</td>\n",
" <td>2.676742</td>\n",
" <td>2.676742</td>\n",
" <td>0.717446</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1960-04-01</th>\n",
" <td>0.63</td>\n",
" <td>2.433694</td>\n",
" <td>2.433694</td>\n",
" <td>0.640638</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1960-07-02</th>\n",
" <td>0.85</td>\n",
" <td>2.490646</td>\n",
" <td>2.490646</td>\n",
" <td>0.859575</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1960-10-01</th>\n",
" <td>0.44</td>\n",
" <td>1.917597</td>\n",
" <td>1.917597</td>\n",
" <td>0.444257</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1961-01-01</th>\n",
" <td>0.61</td>\n",
" <td>1.924549</td>\n",
" <td>1.924549</td>\n",
" <td>0.604685</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1979-10-01</th>\n",
" <td>9.99</td>\n",
" <td>-0.924073</td>\n",
" <td>-0.924073</td>\n",
" <td>-2.859040</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-01-01</th>\n",
" <td>16.20</td>\n",
" <td>5.122879</td>\n",
" <td>5.122879</td>\n",
" <td>3.018033</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-04-01</th>\n",
" <td>14.67</td>\n",
" <td>3.429831</td>\n",
" <td>3.429831</td>\n",
" <td>1.150852</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-07-02</th>\n",
" <td>16.02</td>\n",
" <td>4.616782</td>\n",
" <td>4.616782</td>\n",
" <td>2.159416</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-10-01</th>\n",
" <td>11.61</td>\n",
" <td>0.043734</td>\n",
" <td>0.043734</td>\n",
" <td>-2.596275</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>84 rows × 4 columns</p>\n",
"</div>\n",
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"\n",
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"\n",
" async function convertToInteractive(key) {\n",
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" [key], {});\n",
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"\n",
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]
},
"metadata": {},
"execution_count": 81
}
]
},
{
"cell_type": "code",
"source": [
"jj_data[[\"data\",\"detrended_1\", \"detrended_poly\"]].plot(figsize=(15,10),fontsize=15,subplots=True, layout=(3,1))"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 645
},
"id": "Ogb-acmXIFHe",
"outputId": "c6b52b14-e02f-45bd-f27a-93d8e1fd08d7"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([[<matplotlib.axes._subplots.AxesSubplot object at 0x7f6829fdeb90>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7f682a26f550>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7f682a243550>]],\n",
" dtype=object)"
]
},
"metadata": {},
"execution_count": 82
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1080x720 with 3 Axes>"
],
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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"source": [
"Линейный тренд и логарифмирование\n",
"\n",
"$$log(x_t) = \\beta_1 t + Y_t$$"
],
"metadata": {
"id": "SkYQV4RQP4ky"
}
},
{
"cell_type": "code",
"source": [
"y_log = np.log(y)\n",
"y_log"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "LJvxNDcKQFE6",
"outputId": "ba74731f-980a-4fc0-bd7b-0880d9ad034e"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([-0.34249031, -0.46203546, -0.16251893, -0.82098055, -0.49429632,\n",
" -0.37106368, -0.08338161, -0.597837 , -0.32850407, -0.26136476,\n",
" -0.08338161, -0.51082562, -0.18632958, -0.22314355, 0. ,\n",
" -0.26136476, -0.08338161, 0. , 0.21511138, 0. ,\n",
" 0.14842001, 0.26236426, 0.37156356, 0.22314355, 0.23111172,\n",
" 0.3220835 , 0.62057649, 0.44468582, 0.42526774, 0.46373402,\n",
" 0.60431597, 0.62057649, 0.42526774, 0.72754861, 0.85015093,\n",
" 0.81093022, 0.77010822, 0.88789126, 0.99325177, 0.81093022,\n",
" 1.0260416 , 1.22964055, 1.30562646, 1.28093385, 1.28093385,\n",
" 1.4632554 , 1.4632554 , 1.39871688, 1.58103844, 1.61740608,\n",
" 1.61740608, 1.48387469, 1.71918878, 1.76644166, 1.88251383,\n",
" 1.66959184, 1.79674701, 1.85473427, 1.93585981, 1.76644166,\n",
" 1.93585981, 2.04640169, 2.05796251, 1.8115621 , 2.04640169,\n",
" 2.18717424, 2.11384297, 1.92278773, 2.25549349, 2.32825284,\n",
" 2.25549349, 2.16676526, 2.47485631, 2.48989419, 2.49732917,\n",
" 2.18717424, 2.6419104 , 2.56186769, 2.69799987, 2.30158459,\n",
" 2.78501124, 2.68580459, 2.77383794, 2.4518668 ])"
]
},
"metadata": {},
"execution_count": 83
}
]
},
{
"cell_type": "code",
"source": [
"print(x.shape, y_log.shape)\n",
"reg_3 = LinearRegression(fit_intercept=False).fit(x, y_log)\n",
"reg_3.coef_"
],
"metadata": {
"id": "0CCbvRg8QCtF"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"x_3_predicted = reg_3.predict(x)\n",
"jj_data[\"detrended_lin_log\"] = np.log(jj_data[\"data\"]) - x_3_predicted\n",
"jj_data"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 455
},
"id": "iQ0mNVBYQQQx",
"outputId": "4dcdf15d-7221-46a5-907b-720ef744714d"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" data detrended_1 detrended_2 detrended_poly detrended_lin_log\n",
"date \n",
"1960-01-01 0.71 2.676742 2.676742 0.717446 -0.372335\n",
"1960-04-01 0.63 2.433694 2.433694 0.640638 -0.521726\n",
"1960-07-02 0.85 2.490646 2.490646 0.859575 -0.252054\n",
"1960-10-01 0.44 1.917597 1.917597 0.444257 -0.940361\n",
"1961-01-01 0.61 1.924549 1.924549 0.604685 -0.643522\n",
"... ... ... ... ... ...\n",
"1979-10-01 9.99 -0.924073 -0.924073 -2.859040 -0.086029\n",
"1980-01-01 16.20 5.122879 5.122879 3.018033 0.367552\n",
"1980-04-01 14.67 3.429831 3.429831 1.150852 0.238500\n",
"1980-07-02 16.02 4.616782 4.616782 2.159416 0.296689\n",
"1980-10-01 11.61 0.043734 0.043734 -2.596275 -0.055128\n",
"\n",
"[84 rows x 5 columns]"
],
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"</style>\n",
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" <thead>\n",
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" <th></th>\n",
" <th>data</th>\n",
" <th>detrended_1</th>\n",
" <th>detrended_2</th>\n",
" <th>detrended_poly</th>\n",
" <th>detrended_lin_log</th>\n",
" </tr>\n",
" <tr>\n",
" <th>date</th>\n",
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" <th></th>\n",
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" <th>1960-01-01</th>\n",
" <td>0.71</td>\n",
" <td>2.676742</td>\n",
" <td>2.676742</td>\n",
" <td>0.717446</td>\n",
" <td>-0.372335</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1960-04-01</th>\n",
" <td>0.63</td>\n",
" <td>2.433694</td>\n",
" <td>2.433694</td>\n",
" <td>0.640638</td>\n",
" <td>-0.521726</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1960-07-02</th>\n",
" <td>0.85</td>\n",
" <td>2.490646</td>\n",
" <td>2.490646</td>\n",
" <td>0.859575</td>\n",
" <td>-0.252054</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1960-10-01</th>\n",
" <td>0.44</td>\n",
" <td>1.917597</td>\n",
" <td>1.917597</td>\n",
" <td>0.444257</td>\n",
" <td>-0.940361</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1961-01-01</th>\n",
" <td>0.61</td>\n",
" <td>1.924549</td>\n",
" <td>1.924549</td>\n",
" <td>0.604685</td>\n",
" <td>-0.643522</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1979-10-01</th>\n",
" <td>9.99</td>\n",
" <td>-0.924073</td>\n",
" <td>-0.924073</td>\n",
" <td>-2.859040</td>\n",
" <td>-0.086029</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-01-01</th>\n",
" <td>16.20</td>\n",
" <td>5.122879</td>\n",
" <td>5.122879</td>\n",
" <td>3.018033</td>\n",
" <td>0.367552</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-04-01</th>\n",
" <td>14.67</td>\n",
" <td>3.429831</td>\n",
" <td>3.429831</td>\n",
" <td>1.150852</td>\n",
" <td>0.238500</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-07-02</th>\n",
" <td>16.02</td>\n",
" <td>4.616782</td>\n",
" <td>4.616782</td>\n",
" <td>2.159416</td>\n",
" <td>0.296689</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-10-01</th>\n",
" <td>11.61</td>\n",
" <td>0.043734</td>\n",
" <td>0.043734</td>\n",
" <td>-2.596275</td>\n",
" <td>-0.055128</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>84 rows × 5 columns</p>\n",
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]
},
"metadata": {},
"execution_count": 84
}
]
},
{
"cell_type": "code",
"source": [
"jj_data[[\"data\",\"detrended_1\", \"detrended_poly\", \"detrended_lin_log\"]].plot(figsize=(15,10),fontsize=15,subplots=True, layout=(4,1))"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 663
},
"id": "_CRnJvz5QjvY",
"outputId": "9eafa96b-bf20-467a-9226-540fc7dabc5b"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([[<matplotlib.axes._subplots.AxesSubplot object at 0x7f682a14d410>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7f682a146190>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7f682a0bf4d0>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7f682a04d810>]],\n",
" dtype=object)"
]
},
"metadata": {},
"execution_count": 85
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1080x720 with 4 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"source": [
"## Сезонные вариации\n",
"\n",
"$$x_t = \\beta_1 t + \\alpha_1 Q(1) + \\alpha_2 Q(2) + \\alpha_3 Q(3) + \\alpha_4 Q(4)+ Y_t$$"
],
"metadata": {
"id": "x4thefp5Eze_"
}
},
{
"cell_type": "code",
"source": [
"jj_data[\"quarters\"] = jj_data.index.quarter\n",
"jj_data"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 455
},
"id": "NfPJ0Y5ySJJY",
"outputId": "7ec6f8d4-45f7-41aa-ec77-57d3f1924242"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" data detrended_1 detrended_2 detrended_poly \\\n",
"date \n",
"1960-01-01 0.71 2.676742 2.676742 0.717446 \n",
"1960-04-01 0.63 2.433694 2.433694 0.640638 \n",
"1960-07-02 0.85 2.490646 2.490646 0.859575 \n",
"1960-10-01 0.44 1.917597 1.917597 0.444257 \n",
"1961-01-01 0.61 1.924549 1.924549 0.604685 \n",
"... ... ... ... ... \n",
"1979-10-01 9.99 -0.924073 -0.924073 -2.859040 \n",
"1980-01-01 16.20 5.122879 5.122879 3.018033 \n",
"1980-04-01 14.67 3.429831 3.429831 1.150852 \n",
"1980-07-02 16.02 4.616782 4.616782 2.159416 \n",
"1980-10-01 11.61 0.043734 0.043734 -2.596275 \n",
"\n",
" detrended_lin_log quarters \n",
"date \n",
"1960-01-01 -0.372335 1 \n",
"1960-04-01 -0.521726 2 \n",
"1960-07-02 -0.252054 3 \n",
"1960-10-01 -0.940361 4 \n",
"1961-01-01 -0.643522 1 \n",
"... ... ... \n",
"1979-10-01 -0.086029 4 \n",
"1980-01-01 0.367552 1 \n",
"1980-04-01 0.238500 2 \n",
"1980-07-02 0.296689 3 \n",
"1980-10-01 -0.055128 4 \n",
"\n",
"[84 rows x 6 columns]"
],
"text/html": [
"\n",
" <div id=\"df-0c1fe61a-b9bf-4164-8400-8ba97cc6a2c1\">\n",
" <div class=\"colab-df-container\">\n",
" <div>\n",
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" <th>detrended_lin_log</th>\n",
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" <tr>\n",
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" <th>1960-01-01</th>\n",
" <td>0.71</td>\n",
" <td>2.676742</td>\n",
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" <td>0.717446</td>\n",
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" <th>1960-04-01</th>\n",
" <td>0.63</td>\n",
" <td>2.433694</td>\n",
" <td>2.433694</td>\n",
" <td>0.640638</td>\n",
" <td>-0.521726</td>\n",
" <td>2</td>\n",
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" <tr>\n",
" <th>1960-07-02</th>\n",
" <td>0.85</td>\n",
" <td>2.490646</td>\n",
" <td>2.490646</td>\n",
" <td>0.859575</td>\n",
" <td>-0.252054</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1960-10-01</th>\n",
" <td>0.44</td>\n",
" <td>1.917597</td>\n",
" <td>1.917597</td>\n",
" <td>0.444257</td>\n",
" <td>-0.940361</td>\n",
" <td>4</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1961-01-01</th>\n",
" <td>0.61</td>\n",
" <td>1.924549</td>\n",
" <td>1.924549</td>\n",
" <td>0.604685</td>\n",
" <td>-0.643522</td>\n",
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" <td>...</td>\n",
" <td>...</td>\n",
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" <tr>\n",
" <th>1979-10-01</th>\n",
" <td>9.99</td>\n",
" <td>-0.924073</td>\n",
" <td>-0.924073</td>\n",
" <td>-2.859040</td>\n",
" <td>-0.086029</td>\n",
" <td>4</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-01-01</th>\n",
" <td>16.20</td>\n",
" <td>5.122879</td>\n",
" <td>5.122879</td>\n",
" <td>3.018033</td>\n",
" <td>0.367552</td>\n",
" <td>1</td>\n",
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" <tr>\n",
" <th>1980-04-01</th>\n",
" <td>14.67</td>\n",
" <td>3.429831</td>\n",
" <td>3.429831</td>\n",
" <td>1.150852</td>\n",
" <td>0.238500</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-07-02</th>\n",
" <td>16.02</td>\n",
" <td>4.616782</td>\n",
" <td>4.616782</td>\n",
" <td>2.159416</td>\n",
" <td>0.296689</td>\n",
" <td>3</td>\n",
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" <tr>\n",
" <th>1980-10-01</th>\n",
" <td>11.61</td>\n",
" <td>0.043734</td>\n",
" <td>0.043734</td>\n",
" <td>-2.596275</td>\n",
" <td>-0.055128</td>\n",
" <td>4</td>\n",
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},
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{
"cell_type": "code",
"source": [
"jj_data[\"Q1\"] = jj_data[\"quarters\"].apply(lambda x : 1 if (x == 1) else 0)\n",
"jj_data[\"Q2\"] = jj_data[\"quarters\"].apply(lambda x : 1 if (x == 2) else 0)\n",
"jj_data[\"Q3\"] = jj_data[\"quarters\"].apply(lambda x : 1 if (x == 3) else 0)\n",
"jj_data[\"Q4\"] = jj_data[\"quarters\"].apply(lambda x : 1 if (x == 4) else 0)\n",
"jj_data"
],
"metadata": {
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"base_uri": "https://localhost:8080/",
"height": 455
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"id": "gGcVUcBPPC7h",
"outputId": "eb1a85e0-301c-4f77-c9a5-27760760bc2a"
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"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" data detrended_1 detrended_2 detrended_poly \\\n",
"date \n",
"1960-01-01 0.71 2.676742 2.676742 0.717446 \n",
"1960-04-01 0.63 2.433694 2.433694 0.640638 \n",
"1960-07-02 0.85 2.490646 2.490646 0.859575 \n",
"1960-10-01 0.44 1.917597 1.917597 0.444257 \n",
"1961-01-01 0.61 1.924549 1.924549 0.604685 \n",
"... ... ... ... ... \n",
"1979-10-01 9.99 -0.924073 -0.924073 -2.859040 \n",
"1980-01-01 16.20 5.122879 5.122879 3.018033 \n",
"1980-04-01 14.67 3.429831 3.429831 1.150852 \n",
"1980-07-02 16.02 4.616782 4.616782 2.159416 \n",
"1980-10-01 11.61 0.043734 0.043734 -2.596275 \n",
"\n",
" detrended_lin_log quarters Q1 Q2 Q3 Q4 \n",
"date \n",
"1960-01-01 -0.372335 1 1 0 0 0 \n",
"1960-04-01 -0.521726 2 0 1 0 0 \n",
"1960-07-02 -0.252054 3 0 0 1 0 \n",
"1960-10-01 -0.940361 4 0 0 0 1 \n",
"1961-01-01 -0.643522 1 1 0 0 0 \n",
"... ... ... .. .. .. .. \n",
"1979-10-01 -0.086029 4 0 0 0 1 \n",
"1980-01-01 0.367552 1 1 0 0 0 \n",
"1980-04-01 0.238500 2 0 1 0 0 \n",
"1980-07-02 0.296689 3 0 0 1 0 \n",
"1980-10-01 -0.055128 4 0 0 0 1 \n",
"\n",
"[84 rows x 10 columns]"
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" <td>-0.924073</td>\n",
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" <td>-2.859040</td>\n",
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" <td>3.018033</td>\n",
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" <td>14.67</td>\n",
" <td>3.429831</td>\n",
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},
"metadata": {},
"execution_count": 87
}
]
},
{
"cell_type": "code",
"source": [
"jj_data[\"t_index\"] = np.arange(1, len(jj_data) + 1)\n",
"jj_data"
],
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"id": "8b_Fp8j2UfDI",
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{
"output_type": "execute_result",
"data": {
"text/plain": [
" data detrended_1 detrended_2 detrended_poly \\\n",
"date \n",
"1960-01-01 0.71 2.676742 2.676742 0.717446 \n",
"1960-04-01 0.63 2.433694 2.433694 0.640638 \n",
"1960-07-02 0.85 2.490646 2.490646 0.859575 \n",
"1960-10-01 0.44 1.917597 1.917597 0.444257 \n",
"1961-01-01 0.61 1.924549 1.924549 0.604685 \n",
"... ... ... ... ... \n",
"1979-10-01 9.99 -0.924073 -0.924073 -2.859040 \n",
"1980-01-01 16.20 5.122879 5.122879 3.018033 \n",
"1980-04-01 14.67 3.429831 3.429831 1.150852 \n",
"1980-07-02 16.02 4.616782 4.616782 2.159416 \n",
"1980-10-01 11.61 0.043734 0.043734 -2.596275 \n",
"\n",
" detrended_lin_log quarters Q1 Q2 Q3 Q4 t_index \n",
"date \n",
"1960-01-01 -0.372335 1 1 0 0 0 1 \n",
"1960-04-01 -0.521726 2 0 1 0 0 2 \n",
"1960-07-02 -0.252054 3 0 0 1 0 3 \n",
"1960-10-01 -0.940361 4 0 0 0 1 4 \n",
"1961-01-01 -0.643522 1 1 0 0 0 5 \n",
"... ... ... .. .. .. .. ... \n",
"1979-10-01 -0.086029 4 0 0 0 1 80 \n",
"1980-01-01 0.367552 1 1 0 0 0 81 \n",
"1980-04-01 0.238500 2 0 1 0 0 82 \n",
"1980-07-02 0.296689 3 0 0 1 0 83 \n",
"1980-10-01 -0.055128 4 0 0 0 1 84 \n",
"\n",
"[84 rows x 11 columns]"
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" <td>0.71</td>\n",
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" <td>0.44</td>\n",
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" <th>1961-01-01</th>\n",
" <td>0.61</td>\n",
" <td>1.924549</td>\n",
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" <td>0.604685</td>\n",
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" <td>9.99</td>\n",
" <td>-0.924073</td>\n",
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" <td>-2.859040</td>\n",
" <td>-0.086029</td>\n",
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" <td>16.20</td>\n",
" <td>5.122879</td>\n",
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" <td>3.018033</td>\n",
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" <th>1980-04-01</th>\n",
" <td>14.67</td>\n",
" <td>3.429831</td>\n",
" <td>3.429831</td>\n",
" <td>1.150852</td>\n",
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" <th>1980-07-02</th>\n",
" <td>16.02</td>\n",
" <td>4.616782</td>\n",
" <td>4.616782</td>\n",
" <td>2.159416</td>\n",
" <td>0.296689</td>\n",
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" <td>83</td>\n",
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" <th>1980-10-01</th>\n",
" <td>11.61</td>\n",
" <td>0.043734</td>\n",
" <td>0.043734</td>\n",
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},
"metadata": {},
"execution_count": 88
}
]
},
{
"cell_type": "code",
"source": [
"x_4 = jj_data[[\"t_index\", \"Q1\", \"Q2\", \"Q3\", \"Q4\"]].to_numpy()\n",
"x_4[:10]"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "uASR8OC9Ue8y",
"outputId": "dbf7d3ac-918e-44d5-f17a-2492dc08fd9d"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([[ 1, 1, 0, 0, 0],\n",
" [ 2, 0, 1, 0, 0],\n",
" [ 3, 0, 0, 1, 0],\n",
" [ 4, 0, 0, 0, 1],\n",
" [ 5, 1, 0, 0, 0],\n",
" [ 6, 0, 1, 0, 0],\n",
" [ 7, 0, 0, 1, 0],\n",
" [ 8, 0, 0, 0, 1],\n",
" [ 9, 1, 0, 0, 0],\n",
" [10, 0, 1, 0, 0]])"
]
},
"metadata": {},
"execution_count": 89
}
]
},
{
"cell_type": "code",
"source": [
"print(x_4.shape, y_log.shape)\n",
"reg_4 = LinearRegression(fit_intercept=False).fit(x_4, y_log)\n",
"reg_4.coef_"
],
"metadata": {
"colab": {
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},
"id": "mGeO-rcwVPm9",
"outputId": "ed0d5b29-ce84-4a0d-c17a-f92c470b1697"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"(84, 5) (84,)\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([ 0.04179304, -0.66072154, -0.6325988 , -0.56249051, -0.83124819])"
]
},
"metadata": {},
"execution_count": 91
}
]
},
{
"cell_type": "code",
"source": [
"x_4_predicted = reg_4.predict(x_4)\n",
"jj_data[\"detrended_lin_log_seazon\"] = np.log(jj_data[\"data\"]) - x_4_predicted\n",
"jj_data"
],
"metadata": {
"colab": {
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"height": 455
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"id": "UmBN3iF3VPhX",
"outputId": "eaed4704-83c5-4e8e-c80b-be32d30fab34"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" data detrended_1 detrended_2 detrended_poly \\\n",
"date \n",
"1960-01-01 0.71 2.676742 2.676742 0.717446 \n",
"1960-04-01 0.63 2.433694 2.433694 0.640638 \n",
"1960-07-02 0.85 2.490646 2.490646 0.859575 \n",
"1960-10-01 0.44 1.917597 1.917597 0.444257 \n",
"1961-01-01 0.61 1.924549 1.924549 0.604685 \n",
"... ... ... ... ... \n",
"1979-10-01 9.99 -0.924073 -0.924073 -2.859040 \n",
"1980-01-01 16.20 5.122879 5.122879 3.018033 \n",
"1980-04-01 14.67 3.429831 3.429831 1.150852 \n",
"1980-07-02 16.02 4.616782 4.616782 2.159416 \n",
"1980-10-01 11.61 0.043734 0.043734 -2.596275 \n",
"\n",
" detrended_lin_log quarters Q1 Q2 Q3 Q4 t_index \\\n",
"date \n",
"1960-01-01 -0.372335 1 1 0 0 0 1 \n",
"1960-04-01 -0.521726 2 0 1 0 0 2 \n",
"1960-07-02 -0.252054 3 0 0 1 0 3 \n",
"1960-10-01 -0.940361 4 0 0 0 1 4 \n",
"1961-01-01 -0.643522 1 1 0 0 0 5 \n",
"... ... ... .. .. .. .. ... \n",
"1979-10-01 -0.086029 4 0 0 0 1 80 \n",
"1980-01-01 0.367552 1 1 0 0 0 81 \n",
"1980-04-01 0.238500 2 0 1 0 0 82 \n",
"1980-07-02 0.296689 3 0 0 1 0 83 \n",
"1980-10-01 -0.055128 4 0 0 0 1 84 \n",
"\n",
" detrended_lin_log_seazon \n",
"date \n",
"1960-01-01 0.276438 \n",
"1960-04-01 0.086977 \n",
"1960-07-02 0.274592 \n",
"1960-10-01 -0.156905 \n",
"1961-01-01 -0.042540 \n",
"... ... \n",
"1979-10-01 -0.210611 \n",
"1980-01-01 0.060496 \n",
"1980-04-01 -0.108626 \n",
"1980-07-02 -0.132494 \n",
"1980-10-01 -0.227500 \n",
"\n",
"[84 rows x 12 columns]"
],
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" <th>1960-04-01</th>\n",
" <td>0.63</td>\n",
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" <th>1960-07-02</th>\n",
" <td>0.85</td>\n",
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" <td>0.859575</td>\n",
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" <td>1</td>\n",
" <td>0</td>\n",
" <td>3</td>\n",
" <td>0.274592</td>\n",
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" <th>1960-10-01</th>\n",
" <td>0.44</td>\n",
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" <td>0.444257</td>\n",
" <td>-0.940361</td>\n",
" <td>4</td>\n",
" <td>0</td>\n",
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" <td>4</td>\n",
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" <th>1961-01-01</th>\n",
" <td>0.61</td>\n",
" <td>1.924549</td>\n",
" <td>1.924549</td>\n",
" <td>0.604685</td>\n",
" <td>-0.643522</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
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" <td>5</td>\n",
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" <th>1979-10-01</th>\n",
" <td>9.99</td>\n",
" <td>-0.924073</td>\n",
" <td>-0.924073</td>\n",
" <td>-2.859040</td>\n",
" <td>-0.086029</td>\n",
" <td>4</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>80</td>\n",
" <td>-0.210611</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-01-01</th>\n",
" <td>16.20</td>\n",
" <td>5.122879</td>\n",
" <td>5.122879</td>\n",
" <td>3.018033</td>\n",
" <td>0.367552</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>81</td>\n",
" <td>0.060496</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-04-01</th>\n",
" <td>14.67</td>\n",
" <td>3.429831</td>\n",
" <td>3.429831</td>\n",
" <td>1.150852</td>\n",
" <td>0.238500</td>\n",
" <td>2</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>82</td>\n",
" <td>-0.108626</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-07-02</th>\n",
" <td>16.02</td>\n",
" <td>4.616782</td>\n",
" <td>4.616782</td>\n",
" <td>2.159416</td>\n",
" <td>0.296689</td>\n",
" <td>3</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>83</td>\n",
" <td>-0.132494</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1980-10-01</th>\n",
" <td>11.61</td>\n",
" <td>0.043734</td>\n",
" <td>0.043734</td>\n",
" <td>-2.596275</td>\n",
" <td>-0.055128</td>\n",
" <td>4</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>84</td>\n",
" <td>-0.227500</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>84 rows × 12 columns</p>\n",
"</div>\n",
" <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-a7224f1c-d91b-4c55-8c83-57121824a970')\"\n",
" title=\"Convert this dataframe to an interactive table.\"\n",
" style=\"display:none;\">\n",
" \n",
" <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
" width=\"24px\">\n",
" <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
" <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
" </svg>\n",
" </button>\n",
" \n",
" <style>\n",
" .colab-df-container {\n",
" display:flex;\n",
" flex-wrap:wrap;\n",
" gap: 12px;\n",
" }\n",
"\n",
" .colab-df-convert {\n",
" background-color: #E8F0FE;\n",
" border: none;\n",
" border-radius: 50%;\n",
" cursor: pointer;\n",
" display: none;\n",
" fill: #1967D2;\n",
" height: 32px;\n",
" padding: 0 0 0 0;\n",
" width: 32px;\n",
" }\n",
"\n",
" .colab-df-convert:hover {\n",
" background-color: #E2EBFA;\n",
" box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
" fill: #174EA6;\n",
" }\n",
"\n",
" [theme=dark] .colab-df-convert {\n",
" background-color: #3B4455;\n",
" fill: #D2E3FC;\n",
" }\n",
"\n",
" [theme=dark] .colab-df-convert:hover {\n",
" background-color: #434B5C;\n",
" box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
" filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
" fill: #FFFFFF;\n",
" }\n",
" </style>\n",
"\n",
" <script>\n",
" const buttonEl =\n",
" document.querySelector('#df-a7224f1c-d91b-4c55-8c83-57121824a970 button.colab-df-convert');\n",
" buttonEl.style.display =\n",
" google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
"\n",
" async function convertToInteractive(key) {\n",
" const element = document.querySelector('#df-a7224f1c-d91b-4c55-8c83-57121824a970');\n",
" const dataTable =\n",
" await google.colab.kernel.invokeFunction('convertToInteractive',\n",
" [key], {});\n",
" if (!dataTable) return;\n",
"\n",
" const docLinkHtml = 'Like what you see? Visit the ' +\n",
" '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
" + ' to learn more about interactive tables.';\n",
" element.innerHTML = '';\n",
" dataTable['output_type'] = 'display_data';\n",
" await google.colab.output.renderOutput(dataTable, element);\n",
" const docLink = document.createElement('div');\n",
" docLink.innerHTML = docLinkHtml;\n",
" element.appendChild(docLink);\n",
" }\n",
" </script>\n",
" </div>\n",
" </div>\n",
" "
]
},
"metadata": {},
"execution_count": 92
}
]
},
{
"cell_type": "code",
"source": [
"jj_data[[\"data\",\"detrended_1\", \"detrended_poly\", \"detrended_lin_log\", \"detrended_lin_log_seazon\"]].plot(figsize=(15,10),fontsize=15,subplots=True, layout=(5,1))"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 681
},
"id": "KOkMUCnQVPZj",
"outputId": "c281dc7b-2040-42e0-e81e-d137015ed39f"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([[<matplotlib.axes._subplots.AxesSubplot object at 0x7f682989d750>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7f6829ef15d0>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7f682a103850>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7f6829f8d110>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7f6829876f50>]],\n",
" dtype=object)"
]
},
"metadata": {},
"execution_count": 93
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1080x720 with 5 Axes>"
],
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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"jj_data[[\"data\",\"detrended_1\", \"detrended_poly\", \"detrended_lin_log\", \"detrended_lin_log_seazon\"]].describe()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 300
},
"id": "-5XhoAW_ErgD",
"outputId": "430c8210-1512-478b-e2d1-305c7d66abfa"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" data detrended_1 detrended_poly detrended_lin_log \\\n",
"count 84.000000 8.400000e+01 84.000000 84.000000 \n",
"mean 4.799762 6.132661e-16 0.113452 -0.163980 \n",
"std 4.309991 1.660753e+00 0.967996 0.329302 \n",
"min 0.440000 -2.185300e+00 -2.859040 -0.940361 \n",
"25% 1.247500 -1.196834e+00 -0.227566 -0.433776 \n",
"50% 3.510000 -5.239068e-01 0.168993 -0.102607 \n",
"75% 7.132500 8.742246e-01 0.597375 0.119897 \n",
"max 16.200000 5.122879e+00 3.018033 0.367552 \n",
"\n",
" detrended_lin_log_seazon \n",
"count 8.400000e+01 \n",
"mean 6.238396e-16 \n",
"std 1.223173e-01 \n",
"min -2.931811e-01 \n",
"25% -9.061946e-02 \n",
"50% -1.179704e-02 \n",
"75% 8.459729e-02 \n",
"max 2.764382e-01 "
],
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" <th>mean</th>\n",
" <td>4.799762</td>\n",
" <td>6.132661e-16</td>\n",
" <td>0.113452</td>\n",
" <td>-0.163980</td>\n",
" <td>6.238396e-16</td>\n",
" </tr>\n",
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" <th>std</th>\n",
" <td>4.309991</td>\n",
" <td>1.660753e+00</td>\n",
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" <td>0.329302</td>\n",
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" <td>-2.185300e+00</td>\n",
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" <td>8.742246e-01</td>\n",
" <td>0.597375</td>\n",
" <td>0.119897</td>\n",
" <td>8.459729e-02</td>\n",
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" <td>16.200000</td>\n",
" <td>5.122879e+00</td>\n",
" <td>3.018033</td>\n",
" <td>0.367552</td>\n",
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},
"metadata": {},
"execution_count": 94
}
]
},
{
"cell_type": "code",
"source": [
"plt.rcParams['figure.figsize'] = [12, 5]\n",
"plot_acf(jj_data['detrended_1'], lags=60, fft=False, title=\"ACF for linearly detrended JJ data\")\n",
"plot_acf(jj_data['detrended_poly'], lags=60, fft=False, title=\"ACF for polynomial detrended JJ data\")\n",
"plot_acf(jj_data['detrended_lin_log'], lags=60, fft=False, title=\"ACF for lin log detrended JJ data\")\n",
"plot_acf(jj_data['detrended_lin_log_seazon'], lags=60, fft=False, title=\"ACF for lin log detrended - sezonal JJ data\")\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "-hKuSqb9Eoty",
"outputId": "ad3349b6-d51d-4853-cca2-41b39e3e5467"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 864x360 with 1 Axes>"
],
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\n"
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 864x360 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 864x360 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 864x360 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"source": [
"# Поиск стационарности (вариант 2)\n",
"\n",
"Дифференцирование: \n",
"\n",
"$$Y_t= \\nabla X_t = X_t - X_{t-1}$$\n",
"\n",
"$$\\nabla^2 X_t = \\nabla X_t - \\nabla X_{t-1}$$"
],
"metadata": {
"id": "MDb2c5-xFpnT"
}
},
{
"cell_type": "code",
"source": [
"# https://pandas.pydata.org/docs/reference/api/pandas.DataFrame.diff.html\n",
"\n",
"jj_data[\"diff_1\"] = jj_data[\"data\"].diff()\n",
"jj_data"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 455
},
"id": "2JMxqI05GYWn",
"outputId": "05210c92-4897-40af-c448-3163e230999e"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" data detrended_1 detrended_2 detrended_poly \\\n",
"date \n",
"1960-01-01 0.71 2.676742 2.676742 0.717446 \n",
"1960-04-01 0.63 2.433694 2.433694 0.640638 \n",
"1960-07-02 0.85 2.490646 2.490646 0.859575 \n",
"1960-10-01 0.44 1.917597 1.917597 0.444257 \n",
"1961-01-01 0.61 1.92454
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