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@catethos
Last active December 4, 2021 10:09
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{
"cells": [
{
"cell_type": "markdown",
"id": "eb9fb7f6-13d5-42ca-a1de-9de8a01078d9",
"metadata": {
"tags": []
},
"source": [
"# Comparing Two Ways of Parameters Estimation"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "7f98e131-df5f-462e-8924-69012cf5abe0",
"metadata": {},
"outputs": [],
"source": [
"from scipy.stats import beta\n",
"import seaborn as sns\n",
"from random import sample\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd"
]
},
{
"cell_type": "markdown",
"id": "76ef4466-2f06-49b8-ab56-47213cfd1588",
"metadata": {
"tags": []
},
"source": [
"## Functions"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "2061cd4c-0f73-4440-8180-bf34640938bf",
"metadata": {},
"outputs": [],
"source": [
"def getAlphaBeta(mu, sigma):\n",
" alpha = mu**2 * ((1 - mu) / sigma**2 - 1 / mu)\n",
" beta = alpha * (1 / mu - 1)\n",
" return alpha, beta"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "d1c12f55-91a6-425d-a523-375e01376fa5",
"metadata": {},
"outputs": [],
"source": [
"def generate_estimation(population):\n",
" data = []\n",
" sample_sizes = range(50,2000,50)\n",
" for sample_size in sample_sizes:\n",
" for _ in range(20):\n",
" samples = sample(population.tolist(), k=sample_size)\n",
" μ = np.mean(samples)\n",
" σ = np.std(samples)\n",
" α1, β1= getAlphaBeta(μ, σ)\n",
" data.append((sample_size, \"MeanVar\", α1, β1))\n",
" α2, β2, _, _ = beta.fit(samples, floc=0, fscale=1)\n",
" data.append((sample_size, \"MLE\", α2, β2))\n",
" return pd.DataFrame(data, columns=[\"size\", \"method\",\"alpha\", \"beta\"])"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "a41d05bb-63fc-477e-b786-2f56396b5b86",
"metadata": {},
"outputs": [],
"source": [
"def plot_comparison(data):\n",
" fig, axs = plt.subplots(1,2, figsize=(15,5))\n",
" sns.lineplot(data=data, x=\"size\", y=\"alpha\",hue=\"method\", ax=axs[0])\n",
" axs[0].hlines(αₜ,100,2000, linestyles=\"dashed\")\n",
" axs[0].set_xlabel(\"Sample Size\")\n",
" axs[0].set_ylabel(\"Estimated alpha\")\n",
"\n",
" sns.lineplot(data=data, x=\"size\", y=\"beta\",hue=\"method\", ax=axs[1])\n",
" axs[1].hlines(βₜ,100,2000, linestyles=\"dashed\")\n",
" axs[1].set_xlabel(\"Sample Size\")\n",
" axs[1].set_ylabel(\"Estimated beta\")\n",
" return fig"
]
},
{
"cell_type": "markdown",
"id": "963b5792-b9e8-4892-9590-b5453c2a1882",
"metadata": {},
"source": [
"## If the distribution is balanced then both methods are about the same"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "a66b8f61-4e83-41b2-b872-de8d9a378da8",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"αₜ = 2\n",
"βₜ = 2\n",
"population = beta.rvs(αₜ, βₜ, size=10000)\n",
"sns.kdeplot(x=population, shade=True)\n",
"data = generate_estimation(population)"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "eccae12a-c5fa-4ea4-8b63-8091eecc7db2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"_ = plot_comparison(data)"
]
},
{
"cell_type": "markdown",
"id": "041552d1-41af-4def-8a60-94ad11f2b0f5",
"metadata": {},
"source": [
"## If the distribution is skewed then MLE is more robust"
]
},
{
"cell_type": "code",
"execution_count": 57,
"id": "89ffaf69-a023-4c83-8372-1a5590c725b9",
"metadata": {},
"outputs": [
{
"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": [
"αₜ = 1\n",
"βₜ = 15\n",
"population = beta.rvs(αₜ, βₜ, size=10000)\n",
"sns.kdeplot(x=population, shade=True)\n",
"data = generate_estimation(population)"
]
},
{
"cell_type": "code",
"execution_count": 58,
"id": "7b76cef0-fa00-40c0-a1fa-c545c69083ad",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"_ = plot_comparison(data)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "00029f4a-e23b-405a-9753-ca0dda6e7597",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "analysis",
"language": "python",
"name": "analysis"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.7"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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