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Python SciPy 正規分布とベキ分布 ランダムウォークのグラフと米ドル/円のグラフ
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 正規分布とベキ分布"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 米ドル/円のデータ"
]
},
{
"cell_type": "code",
"execution_count": 2,
"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>open</th>\n",
" <th>high</th>\n",
" <th>low</th>\n",
" <th>close</th>\n",
" <th>volume</th>\n",
" </tr>\n",
" <tr>\n",
" <th>time</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>2003-05-05</th>\n",
" <td>118.940</td>\n",
" <td>119.046</td>\n",
" <td>118.461</td>\n",
" <td>118.603</td>\n",
" <td>592866.9</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2003-05-06</th>\n",
" <td>118.591</td>\n",
" <td>118.751</td>\n",
" <td>117.290</td>\n",
" <td>117.500</td>\n",
" <td>581707.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2003-05-07</th>\n",
" <td>117.456</td>\n",
" <td>117.830</td>\n",
" <td>116.052</td>\n",
" <td>116.303</td>\n",
" <td>584496.2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2003-05-08</th>\n",
" <td>116.311</td>\n",
" <td>116.969</td>\n",
" <td>115.940</td>\n",
" <td>116.823</td>\n",
" <td>588236.7</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2003-05-09</th>\n",
" <td>116.835</td>\n",
" <td>117.612</td>\n",
" <td>116.794</td>\n",
" <td>117.151</td>\n",
" <td>583132.9</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" open high low close volume\n",
"time \n",
"2003-05-05 118.940 119.046 118.461 118.603 592866.9\n",
"2003-05-06 118.591 118.751 117.290 117.500 581707.0\n",
"2003-05-07 117.456 117.830 116.052 116.303 584496.2\n",
"2003-05-08 116.311 116.969 115.940 116.823 588236.7\n",
"2003-05-09 116.835 117.612 116.794 117.151 583132.9"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dtype = { 'time': str, 'open': float, 'high': float, 'low': float, 'close': float, 'volume': float }\n",
"names = ['time', 'open', 'high', 'low', 'close', 'volume']\n",
"df = pd.read_csv('~/Documents/data/d/USDJPY_D.csv', dtype=dtype, header=0, index_col='time', names=names, parse_dates=['time'])\n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"s11 = df['close']\n",
"s12 = (s11 - s11.shift(1)).dropna()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f62b1b52908>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"s11.plot()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n, bins, patches = plt.hist(s12, 100)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ランダムなデータと米ドル/円のデータの比較"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"n = s11.index.size\n",
"mu = 0\n",
"sigma = s12.std()\n",
"openprice = s11.head(1).item()\n",
"s21 = pd.Series(sigma * np.random.randn(n) + mu, index=s11.index).cumsum() + openprice\n",
"s22 = (s21 - s21.shift(1)).dropna()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"s21.plot(label='random', alpha=0.5)\n",
"s11.plot(label='USD/JPY', alpha=0.5)\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n, bins, patches = plt.hist(s22, 100, label='random', alpha=0.5, density=True)\n",
"n, bins, patches = plt.hist(s12, 100, label='USD/JPY', alpha=0.5, density=True)\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"s22.plot(label='random', alpha=0.5)\n",
"s12.plot(label='USD/JPY', alpha=0.5)\n",
"plt.legend()\n",
"plt.show()"
]
}
],
"metadata": {
"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": "3.6.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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