{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "id": "0FOCgIicYmGI" }, "outputs": [], "source": [ "import numpy as np\n", "import numpy.linalg as la\n", "import numpy.random as rnd\n", "import matplotlib.pyplot as plt\n", "from time import time\n", "from tqdm import tqdm" ] }, { "cell_type": "markdown", "metadata": { "id": "xXgNCQg4Y8ju" }, "source": [ "## Ejemplo 1\n", "\n", "Geométrica: $\\hat{p} = \\frac{1}{\\bar{X_n}}$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 886 }, "id": "JeQAWx35Zk5V", "outputId": "b983ee91-2f63-40a6-f99b-b5b8f31b1c85" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "El estimador MV y de momentos da p_gorro = 0.111731843575419\n", "El valor verdadero es p = 0.1\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "#Parámetros\n", "p = 0.1\n", "n = 100\n", "\n", "#Muestra aleatoria:\n", "muestras = np.empty(n)\n", "for i in range(n): #Se hacen n iteraciones del proceso de la geométrica\n", " exito = 0\n", " k = 0\n", " while exito==0:\n", " exito = rnd.binomial(1, p) #Binomial de n=1 ~ Bernoulli\n", " k += 1 #incremento contador\n", " muestras[i] = k\n", "\n", "#Estimación\n", "p_hat = 1/(muestras.mean()) #p = 1/promedio\n", "print('El estimador MV y de momentos da p_gorro =', p_hat)\n", "print('El valor verdadero es p =', p)\n", "\n", "#Gráfica de resultados\n", "plt.figure(figsize=(10,10))\n", "plt.plot(muestras)\n", "plt.grid(True)\n", "plt.ylabel('$X_i$')\n", "plt.xlabel('muestra')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "Kfhlwh_cbdyq" }, "source": [ "##Ejemplo 2\n", "\n", "Uniforme:\n", "$$ \\hat{a}_{Mom} = \\hat{M_1} - \\frac{\\sqrt{12\\left(\\hat{M2}-\\hat{M1}^2\\right)}}{2}, \\quad\n", "\\hat{b}_{Mom} = \\hat{M_1} + \\frac{\\sqrt{12\\left(\\hat{M2}-\\hat{M1}^2\\right)}}{2} $$\n", "\n", "\n", "$$ \\hat{a}_{MV} = min\\{X_1, ..., X_n \\}, \\quad\n", "\\hat{b}_{MV} = max\\{X_1, ..., X_n \\} $$" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "id": "9jBsw4DVgy_2" }, "outputs": [], "source": [ "def estimador_momentos(X):\n", " m1_hat = X.mean()\n", " m2_hat = (X**2).mean() #cada muestra al cuadrado, y luego toma el promedio\n", " sigma2 = 12*(m2_hat-m1_hat**2)\n", " a_hat = m1_hat - np.sqrt(sigma2)/2\n", " b_hat = m1_hat + np.sqrt(sigma2)/2\n", " return a_hat, b_hat\n", "\n", "def estimador_mv(X):\n", " a_hat = np.min(X)\n", " b_hat = np.max(X)\n", " return a_hat, b_hat" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 442 }, "id": "m6m550YwbcY3", "outputId": "5767f327-9cfd-482a-8ad0-929ab3b2ad6f" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Estimador de momentos: a_gorro=0.7184172233018895, b_gorro=4.887853048935207\n", "Estimador de máxima verosimilitud: a_gorro=1.0369849987849213, b_gorro=4.999132159253628\n", "Valores verdaderos: a=1, b=5\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "#Parámetros\n", "a = 1\n", "b = 5\n", "n = 100\n", "\n", "#Muestra aleatoria\n", "muestras = rnd.uniform(low=a, high=b, size=n)\n", "\n", "#Estimador de momentos\n", "a_hat_mom, b_hat_mom = estimador_momentos(muestras)\n", "\n", "#Estimador de maxima verosimilitud\n", "a_hat_mv, b_hat_mv = estimador_mv(muestras)\n", "\n", "print(f'Estimador de momentos: a_gorro={a_hat_mom}, b_gorro={b_hat_mom}')\n", "print(f'Estimador de máxima verosimilitud: a_gorro={a_hat_mv}, b_gorro={b_hat_mv}')\n", "print(f'Valores verdaderos: a={a}, b={b}')\n", "\n", "#Gráfica de resultados\n", "plt.figure(figsize=(10,4))\n", "plt.scatter(muestras, np.ones(n))\n", "plt.axvline(a_hat_mom, c='r', label='a_mom')\n", "plt.axvline(b_hat_mom, c='r', label='b_mom')\n", "plt.axvline(a_hat_mv, c='g', label='a_mv')\n", "plt.axvline(b_hat_mv, c='g', label='b_mv')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.xlim(a-1,b+1)\n", "plt.xlabel('$x$')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "2rHYNFgcgJFK" }, "source": [ "## Comparación de estimadores" ] }, { "cell_type": "markdown", "metadata": { "id": "U4iwhjEsnoIX" }, "source": [ "$$ ECM = var + sesgo^2 $$" ] }, { "cell_type": "markdown", "source": [ "Curvas Experimentales:" ], "metadata": { "id": "USN3xRtC_oWA" } }, { "cell_type": "code", "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 867 }, "id": "vyteTiaca1YF", "outputId": "be376472-40a6-4766-8b61-530ee5c80a67" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" 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\n" }, "metadata": {} } ], "source": [ "#Parámetros\n", "n_s = [5, 10, 30, 50, 100, 200, 300, 500, 800, 1000]\n", "M = 100\n", "a=1\n", "b=5\n", "\n", "theta = np.array([a,b])\n", "\n", "ecm_mom = np.empty(len(n_s))\n", "sesgo_mom = np.empty(len(n_s))\n", "var_mom = np.empty(len(n_s))\n", "ecm_mv = np.empty(len(n_s))\n", "sesgo_mv = np.empty(len(n_s))\n", "var_mv = np.empty(len(n_s))\n", "\n", "for i,n in enumerate(n_s):\n", " #M Muestras aleatorias\n", " muestras = rnd.uniform(low=a, high=b, size=(M,n))\n", "\n", " #Estimador de momentos\n", " m1_hat = muestras.mean(axis=1)\n", " m2_hat = (muestras**2).mean(axis=1) #cada muestra al cuadrado, y luego toma el promedio\n", " sigma2 = 12*(m2_hat-m1_hat**2)\n", " a_hats_mom = m1_hat - np.sqrt(sigma2)/2\n", " b_hats_mom = m1_hat + np.sqrt(sigma2)/2\n", " thetas_mom = np.vstack([a_hats_mom, b_hats_mom]).T\n", "\n", " #Estimador de maxima verosimilitud\n", " a_hats_mv, b_hats_mv = np.min(muestras, axis=1), np.max(muestras, axis=1)\n", " thetas_mv = np.vstack([a_hats_mv, b_hats_mom]).T\n", "\n", " #ECM\n", " ecm_mom[i] = ((thetas_mom-theta)**2).mean()\n", " ecm_mv[i] = ((thetas_mv-theta)**2).mean()\n", "\n", " #Sesgo\n", " sesgo_mom[i] = (thetas_mom - theta).mean()\n", " sesgo_mv[i] = (thetas_mv - theta).mean()\n", "\n", " #Varianza\n", " var_mom[i] = np.var(thetas_mom-theta)\n", " var_mv[i] = np.var(thetas_mv-theta)\n", "\n", "#Gráfica de resultados\n", "plt.figure(figsize=(10,6))\n", "plt.title('Curvas Experimentales')\n", "plt.plot(n_s, ecm_mom, label='Momentos')\n", "plt.plot(n_s, ecm_mv, label='Máxima verosimilitud')\n", "plt.grid(True)\n", "plt.legend()\n", "plt.xlabel('$n$')\n", "plt.ylabel('ECM')\n", "plt.xscale('log') #mejor visualización\n", "plt.show()\n", "\n", "fig, ax = plt.subplots(1,2, figsize=(10,3))\n", "ax[0].plot(n_s, sesgo_mom**2, label='Momentos')\n", "ax[0].plot(n_s, sesgo_mv**2, label='Máxima verosimilitud')\n", "ax[0].set_xlabel('$n$')\n", "ax[0].set_ylabel('$Sesgo^2$')\n", "ax[0].set_xscale('log')\n", "ax[0].legend()\n", "ax[0].grid(True)\n", "ax[1].plot(n_s, var_mom, label='Momentos')\n", "ax[1].plot(n_s, var_mv, label='Máxima verosimilitud')\n", "ax[1].set_xlabel('$n$')\n", "ax[1].set_ylabel('Varianza')\n", "ax[1].set_xscale('log')\n", "ax[1].legend()\n", "ax[1].grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "source": [ "Curvas Teóricas:" ], "metadata": { "id": "woGtRdds_tEw" } }, { "cell_type": "markdown", "source": [ "$$ sesgo(\\hat{\\theta}_{mom}) = 0, \\quad ECM(\\hat{\\theta}_{mom}) = var(\\hat{\\theta}_{mom}) = \\frac{\\theta^2}{3n} $$\n", "\n", "$$ sesgo(\\hat{\\theta}_{mv}) = -\\frac{n}{n+1}\\theta, \\quad var(\\hat{\\theta}_{mv}) = \\theta^2\\frac{n}{(n+1)^2(n+2)} $$\n", "\n", "$$ ECM(\\hat{\\theta}_{mv}) = \\theta^2\\frac{2}{(n+1)(n+2)} $$" ], "metadata": { "id": "DcRlMjmeASeC" } }, { "cell_type": "markdown", "source": [ "**Observación** A pesar de que $\\hat{\\theta}_{mom}$ es insesgado su $ECM$ decrece como $1/n$, mientras que $\\hat{\\theta}_{mv}$ es sesgado pero su $ECM$ decrece como $1/n^2$" ], "metadata": { "id": "KsPdL0e1BIIc" } }, { "cell_type": "code", "source": [ "#Parámetros\n", "ns = np.logspace(0.2,3)\n", "a=1\n", "b=5\n", "\n", "theta = b-a\n", "\n", "#Curvas teóricas\n", "ecm_mom = theta**2/(3*ns)\n", "sesgo_mom = np.zeros(len(ns))\n", "var_mom = theta**2/(3*ns)\n", "\n", "ecm_mv = (theta**2)*2/((ns+2)*(ns+1))\n", "sesgo_mv = -theta/(ns+1)\n", "var_mv = (theta**2)*ns/((ns+2)*(ns+1)**2)\n", "\n", "#Gráfica de resultados\n", "plt.figure(figsize=(10,6))\n", "plt.title('Curvas Teóricas')\n", "plt.plot(ns, ecm_mom, label='Momentos')\n", "plt.plot(ns, ecm_mv, label='Máxima verosimilitud')\n", "plt.grid(True)\n", "plt.legend()\n", "plt.xlabel('$n$')\n", "plt.ylabel('ECM')\n", "plt.xscale('log') #mejor visualización\n", "plt.show()\n", "\n", "fig, ax = plt.subplots(1,2, figsize=(10,3))\n", "ax[0].plot(ns, sesgo_mom**2, label='Momentos')\n", "ax[0].plot(ns, sesgo_mv**2, label='Máxima verosimilitud')\n", "ax[0].set_xlabel('$n$')\n", "ax[0].set_ylabel('$Sesgo^2$')\n", "ax[0].set_xscale('log')\n", "ax[0].legend()\n", "ax[0].grid(True)\n", "ax[1].plot(ns, var_mom, label='Momentos')\n", "ax[1].plot(ns, var_mv, label='Máxima verosimilitud')\n", "ax[1].set_xlabel('$n$')\n", "ax[1].set_ylabel('Varianza')\n", "ax[1].set_xscale('log')\n", "ax[1].legend()\n", "ax[1].grid(True)\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 872 }, "id": "Wln68Tvj8IHW", "outputId": "8e3fef77-c35a-44a8-ab19-6a7193232daf" }, "execution_count": 13, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "q5h-q6eJjtq_" }, "outputs": [], "source": [] } ], "metadata": { "colab": { "provenance": [] }, "kernelspec": { "display_name": "Python 3", "name": "python3" }, "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 0 }