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@Vido
Created July 18, 2024 02:41
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{
"metadata": {
"kernelspec": {
"name": "python",
"display_name": "Python (Pyodide)",
"language": "python"
},
"language_info": {
"codemirror_mode": {
"name": "python",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8"
}
},
"nbformat_minor": 4,
"nbformat": 4,
"cells": [
{
"cell_type": "markdown",
"source": "# Expoente de Hurst",
"metadata": {}
},
{
"cell_type": "code",
"source": "import micropip\nawait micropip.install(\"matplotlib\")",
"metadata": {
"trusted": true
},
"outputs": [],
"execution_count": 1
},
{
"cell_type": "code",
"source": "import numpy as np\n\ndef rescaled_range(ts):\n # https://en.wikipedia.org/wiki/Rescaled_range\n Yt = ts - ts.mean()\n Zt = np.cumsum(Yt)\n Rt = np.max(Zt) - np.min(Zt)\n sigma = np.std(ts) # population\n S = np.std(ts, ddof=1) # sample\n return Rt, sigma, S\n\nwiki_exemple = np.array([1, 3, 1, 0, 2, 5])\n\nrescaled_range(wiki_exemple)",
"metadata": {
"trusted": true
},
"outputs": [
{
"execution_count": 1,
"output_type": "execute_result",
"data": {
"text/plain": "(3.0, 1.632993161855452, 1.7888543819998317)"
},
"metadata": {}
}
],
"execution_count": 1
},
{
"cell_type": "code",
"source": "def empirical_hurst(ts, windows):\n RS = []\n for w in windows:\n if w > ts.size:\n continue\n rs = []\n for index in range(0, ts.size, w):\n if index+w > ts.size:\n break\n Rt, signma, S = rescaled_range(ts[index:index+w])\n if S <= 0:\n continue\n rs.append(Rt/S)\n RS.append(np.mean(rs))\n\n # https://numpy.org/doc/stable/reference/generated/numpy.linalg.lstsq.html\n x, y = np.log2(windows), np.log2(RS)\n A = np.vstack([x, np.ones(len(RS))]).T\n results = np.linalg.lstsq(A, y, rcond=-1)\n \n H, c = results[0]\n return H, 2**c, RS\n\nnear_0 = np.array([1, 1, -1, -1] * 32)\nwindows = [8, 16, 32, 64, 128]\nempirical_hurst(near_0, windows)",
"metadata": {
"trusted": true
},
"outputs": [
{
"execution_count": 1,
"output_type": "execute_result",
"data": {
"text/plain": "(0.02165244286602608,\n 1.8089824724525367,\n [1.8708286933869707,\n 1.9364916731037087,\n 1.9685019685029528,\n 1.9843134832984428,\n 1.9921721813136533])"
},
"metadata": {}
}
],
"execution_count": 1
},
{
"cell_type": "code",
"source": "import matplotlib.pyplot as plt\n\ndef get_plot(ts, H, c, windows, RS):\n\n x, fx = np.array(windows), np.array(RS)\n \n #https://matplotlib.org/stable/gallery/subplots_axes_and_figures/subplots_demo.html\n fig, axs = plt.subplots(3)\n axs[0].plot(ts, color=\"purple\")\n axs[0].grid(True)\n\n axs[1].scatter(x, fx, color=\"purple\")\n axs[1].set_xlabel('Time interval')\n axs[1].set_ylabel('R/S ratio')\n axs[1].grid(True)\n\n axs[2].plot(x, c*x**H, color=\"deepskyblue\")\n axs[2].scatter(x, fx, color=\"purple\")\n axs[2].set_xscale('log')\n axs[2].set_yscale('log')\n axs[2].set_xlabel('Time interval')\n axs[2].set_ylabel('Hurst = %.2f' % H)\n axs[2].grid(True)\n plt.show()\n\nnear_half = np.random.uniform(-1, 1, 128)\nwindows = [8, 16, 32, 64, 128]\nH, c, RS = empirical_hurst(near_half, windows)\nget_plot(near_half, H, c, windows, RS)",
"metadata": {
"trusted": true
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 640x480 with 3 Axes>",
"image/png": 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"
},
"metadata": {}
}
],
"execution_count": 1
}
]
}
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