python-pour-finance/08-Analyse-Time-Series/3-Décomposition-ETS.ipynb

308 lines
128 KiB
Plaintext

{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Décomposition ETS"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"airline = pd.read_csv('airline_passengers.csv',index_col=\"Month\")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Thousands of Passengers</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Month</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1949-01</th>\n",
" <td>112.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-02</th>\n",
" <td>118.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-03</th>\n",
" <td>132.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-04</th>\n",
" <td>129.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-05</th>\n",
" <td>121.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Thousands of Passengers\n",
"Month \n",
"1949-01 112.0\n",
"1949-02 118.0\n",
"1949-03 132.0\n",
"1949-04 129.0\n",
"1949-05 121.0"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"airline.head()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x114119210>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"airline.plot()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ETS\n",
"\n",
"Nous pouvons utiliser un modèle additif lorsqu'il semble que la tendance est plus linéaire et que les composantes saisonnières et tendancielles semblent être constantes dans le temps (par exemple: chaque année, nous ajoutons 10 000 passagers). Un modèle multiplicatif est plus approprié lorsque nous augmentons (ou diminuons) à un rythme non linéaire (par exemple: chaque année, nous doublons le nombre de passagers).\n",
"\n",
"D'après ce graphique, il semble que la tendance de ces premiers jours soit légèrement à la hausse à un taux plus élevé que le taux linéaire (bien qu'il soit un peu difficile de le dire à partir de cette seule courbe)."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# Obtenir les données dans un format correct\n",
"airline.dropna(inplace=True)\n",
"airline.index = pd.to_datetime(airline.index)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Thousands of Passengers</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Month</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1949-01-01</th>\n",
" <td>112.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-02-01</th>\n",
" <td>118.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-03-01</th>\n",
" <td>132.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-04-01</th>\n",
" <td>129.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-05-01</th>\n",
" <td>121.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Thousands of Passengers\n",
"Month \n",
"1949-01-01 112.0\n",
"1949-02-01 118.0\n",
"1949-03-01 132.0\n",
"1949-04-01 129.0\n",
"1949-05-01 121.0"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"airline.head()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 4 Axes>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from statsmodels.tsa.seasonal import seasonal_decompose\n",
"result = seasonal_decompose(airline['Thousands of Passengers'], model='multiplicative')\n",
"result.plot()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"# Vous risquez de voir accidentellement deux fois le même graphique ici, ne vous inquiétez pas,\n",
"# Juste un petit bug avec la fonction statsmodels."
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}