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Last active January 30, 2022 20:37
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "c453a72f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<ggplot: (8783587526969)>"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import matplotlib as mpl\n",
"mpl.rcParams['mathtext.fontset'] = 'cm'\n",
"\n",
"import numpy as np\n",
"import plotnine as p9\n",
"import scipy as sp\n",
"import pandas as pd\n",
"\n",
"x = np.linspace(-1, 1, 100)\n",
"y_levy = sp.stats.levy.pdf(x, loc=-1)\n",
"y_laplace = sp.stats.laplace.pdf(x, loc=-0.3)\n",
"y_wigner = sp.stats.semicircular.pdf(x, scale=1.25, loc=0.5)\n",
"y_tsine = np.abs(np.sin(3 * np.pi * x)) / 4\n",
"\n",
"tex_ks = r'$\\dfrac{\\sqrt{2\\pi}}{x} \\sum_{k=1}^\\infty \\ \\exp\\left( \\dfrac{-(2k - 1)^2 \\pi^2} {8x^2} \\right)$'\n",
"tex_levy = r'$\\sqrt{\\dfrac{\\gamma}{2\\pi}} \\ \\dfrac{\\exp\\left( \\dfrac{-\\gamma}{2(x - \\mu)} \\right)}{(x - \\mu)^{3/2}}$'\n",
"tex_cauchy = r'$\\dfrac{1}{\\pi} \\arctan\\left( \\dfrac{x - \\mu}{\\gamma} \\right) + \\dfrac{1}{2}$'\n",
"\n",
"p9.ggplot(pd.DataFrame(dict(x=x)), p9.aes(x='x', y='y')) \\\n",
" + p9.geom_area(data=pd.DataFrame(dict(y=y_levy)), fill='red', alpha=0.2) \\\n",
" + p9.geom_area(data=pd.DataFrame(dict(y=y_laplace)), fill='green', alpha=0.2) \\\n",
" + p9.geom_area(data=pd.DataFrame(dict(y=y_wigner)), fill='yellow', alpha=0.2) \\\n",
" + p9.geom_area(data=pd.DataFrame(dict(y=y_tsine)), fill='blue', alpha=0.2) \\\n",
" + p9.annotate('text', label=r'So many distributions', x=0, y=0.5, size=20) \\\n",
" + p9.annotate('text', label=r'and you choose to be normal', x=0, y=0.04, size=20) \\\n",
" + p9.annotate('text', label=tex_ks, x=0, y=0.4, alpha=0.3, size=15) \\\n",
" + p9.annotate('text', label=tex_levy, x=0.4, y=0.275, alpha=0.3, size=15) \\\n",
" + p9.annotate('text', label=tex_cauchy, x=-0.2, y=0.15, alpha=0.3, size=15) \\\n",
" + p9.theme(axis_text=p9.element_blank(), axis_ticks=p9.element_blank()) \\\n",
" + p9.labs(x=None, y=None)"
]
}
],
"metadata": {
"jupytext": {
"formats": "ipynb,py:percent",
"text_representation": {
"extension": ".py",
"format_name": "percent",
"format_version": "1.3",
"jupytext_version": "1.9.1"
}
},
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.10.2"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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