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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "53845318-3f29-46a7-99a2-eb150f9a024b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"\n",
"# Set the mean and variance for the normal distribution of Y = log(X)\n",
"mu = 0\n",
"sigma = 0.25\n",
"\n",
"# Generate a sample of Y values from a normal distribution\n",
"y = np.random.normal(mu, sigma, 10000)\n",
"\n",
"# Transform Y back to the original variable X to get the lognormal distribution\n",
"x = np.exp(y)\n",
"\n",
"# set the style to a dark theme\n",
"plt.style.use(\"dark_background\")\n",
"\n",
"# match website background\n",
"plt.rcParams[\"figure.facecolor\"] = \"#181818\"\n",
"plt.rcParams[\"axes.facecolor\"] = \"#181818\"\n",
"plt.rcParams[\"axes.edgecolor\"] = \"#181818\"\n",
"\n",
"\n",
"# Plot the distribution of X\n",
"plt.figure(figsize=(10, 6))\n",
"sns.histplot(x, bins=100, kde=True, color='skyblue')\n",
"plt.title('Lognormal Distribution of X where Y = log(X) is Normally Distributed')\n",
"plt.xlabel('X')\n",
"plt.ylabel('Frequency')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "caf70f85-bbee-431a-a568-7c0219d445f3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 6))\n",
"sns.histplot(y, bins=100, kde=True, color='lightcoral')\n",
"plt.title('Normal Distribution of Y = log(X)', color='white')\n",
"plt.xlabel('Y', color='white')\n",
"plt.ylabel('Frequency', color='white')\n",
"plt.xticks(color='white')\n",
"plt.yticks(color='white')\n",
"plt.gca().set_facecolor('#333333')\n",
"plt.show()"
]
}
],
"metadata": {
"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": "3.11.8"
}
},
"nbformat": 4,
"nbformat_minor": 5
}