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@Financioneroncios
Last active July 9, 2024 17:05
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Simulación de Montecarlo con Python parte I: Copulas Elípticas\n",
"\n",
"<br>__[Financionerioncios](https://financioneroncios.wordpress.com)__\n",
"<br>__[Dany Cajas](https://www.linkedin.com/in/dany-cajas/)__\n",
"<br>__[Practical Econometrics with Python](https://www.amazon.com/-/es/Marlon-Saito-ebook/dp/B08KJ1322G/ref=sr_1_1?dchild=1&qid=1603904149&refinements=p_27%3AMarlon+Saito&s=digital-text&sr=1-1&text=Marlon+Saito)__ \n",
"<br>__[Econometría Práctica con Python](https://www.amazon.com/-/es/Marlon-Saito-ebook/dp/B08KHZKV9R/ref=sr_1_2?dchild=1&qid=1603903646&refinements=p_27%3AMarlon+Saito&s=digital-text&sr=1-2&text=Marlon+Saito)__ \n",
"\n",
"Hi people, hoy escribire de un tema que es muy útil para resolver problemas que no tienen una fórmula explicita (valorización de derivados, bonos con opciones, analisis de riesgos, etc), asi que espero les guste :D. No se olviden que para Python les recomiendo que usen winpython (solo windows, pero es portable) o anaconda (es multiplataforma, pero requiere de instalación). Al instalar cualquiera de estas distribuciones encontraran los ejecutables Jupyter Notebook (el formato del post, los archivos tienen extensión es .ipynb) y Spyder (IDE que recomiendo para trabajar porque permite visualizar las variables y su tipo, los archivos tienen extensión es .py).\n",
"\n",
"En la página del blog dejaré los notebooks (se abren con jupyter notebook), los scripts de python (recomiendo que usen spyder para trabajar con estos archivos) y los archivos en excel con la data usada en los ejemplos.\n",
"\n",
"\n",
"Los temas que trataremos en este post son:\n",
"\n",
"1. Simulación de Montecarlo con Copulas Elípticas.\n",
" 1. Cópula Gaussiana.\n",
" 1. Cópula t-Student.\n",
"\n",
"\n",
"## 1. Simulación de Montecarlo con Copulas Elípticas.\n",
"\n",
"Primero empezaremos hablando un poco de la __simulación de Montecarlo__, en términos simples consiste en generar números aleatorios para diferentes variables que son inputs de un modelo y con ello podremos analizar los posibles resultados del modelo bajo diferentes escenarios. Uno de los problema a la hora de generar números aleatorios es modelar la correlación entre las diferentes variables y alli es donde entran las cópulas.\n",
"\n",
"Una __cópula__ es una función de distribución multivariada de probabilidad cuyas marginales son distribuciones uniformes, es decir todas sus dimensiones estan entre $[0,1]$ y su ventaja es que permiten modelar facilmente la correlación entre diferentes variables aleatorias independientemente de la distribución de la variable; ya que al modelar la correlación entre las marginales que tienen rango $[0,1]$ se puede aplicar la función inversa de la cdf y se podran obtener variables correlacionadas con diferentes distribuciones. \n",
"\n",
"### A. Cópula Gaussiana.\n",
"\n",
"La cópula gaussiana es una cópula construida a partir de una distribución normal multivariada. Si quieren ver las matemáticas pueden revisar wikipedia en __[este link](https://en.wikipedia.org/wiki/Copula_(probability_theory))__. \n",
"\n",
"El método para generer números aleatorios correlacionados con una cópula gaussiana es el siguiente:\n",
"1. A partir de la matriz de correlación calculamos la matriz $L$(descomposición de Cholesky).\n",
"1. Generamos una matriz $x$ de números aleatorios independientes con distribución $N(0,1)$.\n",
"1. Calculamos la matriz $s = x * L^T$.\n",
"1. Aplicamos la función de distribución acumulativa normal $\\phi$ a la matriz $s$, de la forma: $U = \\phi(s)$.\n",
"1. Aplicamos la función de distribución que querramos a cada columna de $U$.\n",
"\n",
"Ahora vamos a mostrar un ejemplo =D. Empezamos cargando una información de precios y calculamos su matriz de correlacion:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Vector de Medias Original:\n",
"[4.22112889e-04 4.62537214e-04 6.08295489e-05]\n",
"\n",
"Vector de Desviacion Estandar Original:\n",
"[0.00811841 0.00945264 0.0082561 ]\n",
"\n",
"Matriz de Covarianza Original:\n",
"[[ 6.59085882e-05 7.01816115e-05 -2.72985388e-05]\n",
" [ 7.01816115e-05 8.93524641e-05 -2.99155314e-05]\n",
" [-2.72985388e-05 -2.99155314e-05 6.81632101e-05]]\n",
"\n",
"Matriz de Correlación Original:\n",
"[[ 1. 0.91453233 -0.40728028]\n",
" [ 0.91453233 1. -0.38332614]\n",
" [-0.40728028 -0.38332614 1. ]]\n"
]
}
],
"source": [
"import numpy as np\n",
"import scipy.stats as st\n",
"import pandas as pd\n",
"\n",
"data = pd.read_excel('Data Prices.xlsx', index_col = 0).sort_index()\n",
"data = data.pct_change().dropna().iloc[:,[1,2,6]]\n",
"\n",
"cov = np.cov(data.values.T)\n",
"mu = np.mean(data.values, axis=0)\n",
"desv = np.sqrt(np.diag(cov))\n",
"correl = np.corrcoef(data.values.T)\n",
"\n",
"print(\"Vector de Medias Original:\")\n",
"print(mu)\n",
"print(\"\")\n",
"print(\"Vector de Desviacion Estandar Original:\")\n",
"print(desv)\n",
"print(\"\")\n",
"print(\"Matriz de Covarianza Original:\")\n",
"print(cov)\n",
"print(\"\")\n",
"print(\"Matriz de Correlación Original:\")\n",
"print(correl)\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"\n",
"def hist_scatter(x, y, bins=50):\n",
" g = sns.JointGrid(x=x, y=y)\n",
" g = g.plot_joint(sns.scatterplot, color=\"b\", alpha=.6)\n",
" _ = g.ax_marg_x.hist(x, color=\"r\", alpha=.6,\n",
" bins=bins)\n",
" _ = g.ax_marg_y.hist(y, color=\"green\", alpha=.6,\n",
" orientation=\"horizontal\",\n",
" bins=bins)\n",
"\n",
"np.random.seed(0)\n",
"x = np.random.randn(1000, 2)\n",
"hist_scatter(x[:,0], x[:,1])\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Vector de Medias Original:\n",
"[4.22112889e-04 4.62537214e-04 6.08295489e-05]\n",
"\n",
"Vector de Medias Simulado:\n",
"[3.61501805e-04 3.96638318e-04 4.61606719e-05]\n",
"\n",
"Matriz de Covarianza Original:\n",
"[[ 6.59085882e-05 7.01816115e-05 -2.72985388e-05]\n",
" [ 7.01816115e-05 8.93524641e-05 -2.99155314e-05]\n",
" [-2.72985388e-05 -2.99155314e-05 6.81632101e-05]]\n",
"\n",
"Matriz de Covarianza Simulada:\n",
"[[ 6.50662857e-05 6.99443482e-05 -2.78271567e-05]\n",
" [ 6.99443482e-05 8.96661582e-05 -3.03325210e-05]\n",
" [-2.78271567e-05 -3.03325210e-05 6.74887926e-05]]\n",
"\n",
"Matriz de Correlación Original:\n",
"[[ 1. 0.91453233 -0.40728028]\n",
" [ 0.91453233 1. -0.38332614]\n",
" [-0.40728028 -0.38332614 1. ]]\n",
"\n",
"Matriz de Correlación Simulada:\n",
"[[ 1. 0.91571502 -0.41992816]\n",
" [ 0.91571502 1. -0.38992259]\n",
" [-0.41992816 -0.38992259 1. ]]\n"
]
}
],
"source": [
"rs = np.random.RandomState(seed = 0)\n",
"n = 10000\n",
"m = data.shape[1]\n",
"x = rs.randn(n, m)\n",
"x = np.matrix(x)\n",
"L = np.linalg.cholesky(correl)\n",
"\n",
"s1 = x * L.T\n",
"U1 = st.norm.cdf(s1)\n",
"\n",
"x1 = st.norm.ppf(U1)\n",
"x1 = np.multiply(x1, desv) + mu\n",
"\n",
"mu_1 = np.mean(x1, axis=0)\n",
"cov_1 = np.cov(x1.T)\n",
"correl_1 = np.corrcoef(x1.T)\n",
"\n",
"print(\"Vector de Medias Original:\")\n",
"print(mu)\n",
"print(\"\")\n",
"print(\"Vector de Medias Simulado:\")\n",
"print(mu_1)\n",
"print(\"\")\n",
"print(\"Matriz de Covarianza Original:\")\n",
"print(cov)\n",
"print(\"\")\n",
"print(\"Matriz de Covarianza Simulada:\")\n",
"print(cov_1)\n",
"print(\"\")\n",
"print(\"Matriz de Correlación Original:\")\n",
"print(correl)\n",
"print(\"\")\n",
"print(\"Matriz de Correlación Simulada:\")\n",
"print(correl_1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Se puede ver que la serie generada tiene una correlacion similar a la original, sin embargo no es igual. Si graficamos la relación de la primera con segunda columna de $x1$ se obtiene el siguiente grafico:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#Graficando la relacion de la primera y segunda serie simulada\n",
"hist_scatter(x1[:,0], x1[:,1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Sin embargo he descubierto un truco para que la correlación generada sea exactamente igual. Para ello se realiza lo siguiente:\n",
"\n",
"1. Luego de generar la matriz $x$ calculamos su matriz de covarianzas.\n",
"1. Aplicamos la factorización de Cholesky sobre la matriz de covarianzas y calculamos $L1$.\n",
"1. Calculamos la inversa de $L1$.\n",
"1. Actualizamos $x$ con la siguiente formula: $x = x * L1^{-1}$. \n",
"1. Repetimos este proceso como 3 veces y sobre el nuevo $x$ aplicamos la matriz $L$ del método original.\n",
"\n",
"Ahora vamos a ver un ejemplo =D para que vean como se hace:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Vector de Medias Original:\n",
"[4.22112889e-04 4.62537214e-04 6.08295489e-05]\n",
"\n",
"Vector de Medias Simulado con el ajuste:\n",
"[0.00029427 0.00034037 0.00019839]\n",
"\n",
"Matriz de Covarianza Original:\n",
"[[ 6.59085882e-05 7.01816115e-05 -2.72985388e-05]\n",
" [ 7.01816115e-05 8.93524641e-05 -2.99155314e-05]\n",
" [-2.72985388e-05 -2.99155314e-05 6.81632101e-05]]\n",
"\n",
"Matriz de Covarianza Simulada con el ajuste:\n",
"[[ 6.59085882e-05 7.01816115e-05 -2.72985388e-05]\n",
" [ 7.01816115e-05 8.93524641e-05 -2.99155314e-05]\n",
" [-2.72985388e-05 -2.99155314e-05 6.81632101e-05]]\n",
"\n",
"Matriz de Correlación Original:\n",
"[[ 1. 0.91453233 -0.40728028]\n",
" [ 0.91453233 1. -0.38332614]\n",
" [-0.40728028 -0.38332614 1. ]]\n",
"\n",
"Matriz de Correlación Simulada con el ajuste:\n",
"[[ 1. 0.91453233 -0.40728028]\n",
" [ 0.91453233 1. -0.38332614]\n",
" [-0.40728028 -0.38332614 1. ]]\n"
]
}
],
"source": [
"x = rs.randn(n, m)\n",
"x = np.matrix(x)\n",
"for i in range(0,3):\n",
" c1 = np.cov(x.T)\n",
" L1 = np.linalg.cholesky(c1)\n",
" L1 = np.matrix(L1).I\n",
" x = x * L1.T\n",
"\n",
"s2 = x * L.T\n",
"U2 = st.norm.cdf(s2)\n",
"x2 = st.norm.ppf(U2)\n",
"x2 = np.multiply(x2, desv) + mu\n",
"\n",
"mu_2 = np.mean(x2, axis=0)\n",
"cov_2 = np.cov(x2.T)\n",
"correl_2 = np.corrcoef(x2.T)\n",
"\n",
"print(\"Vector de Medias Original:\")\n",
"print(mu)\n",
"print(\"\")\n",
"print(\"Vector de Medias Simulado con el ajuste:\")\n",
"print(mu_2)\n",
"print(\"\")\n",
"print(\"Matriz de Covarianza Original:\")\n",
"print(cov)\n",
"print(\"\")\n",
"print(\"Matriz de Covarianza Simulada con el ajuste:\")\n",
"print(cov_2)\n",
"print(\"\")\n",
"print(\"Matriz de Correlación Original:\")\n",
"print(correl)\n",
"print(\"\")\n",
"print(\"Matriz de Correlación Simulada con el ajuste:\")\n",
"print(correl_2)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ahora podran ver que ambas matrices son identicas, con esto se mejora la precision de la simulación. Si graficamos la relación de la primera con segunda columna de $x2$ se obtiene el siguiente grafico:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"hist_scatter(x2[:,0], x2[:,1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ahora para demostrar que podemos generar cualquier tipo de distribución correlacionada, usando la simulación anterior aplicaremos las inversas acumulativas de las distribuciones normal, t y uniforme para calcular las nuevas distribuciones correlacionadas."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Matriz de Correlación Original:\n",
"[[ 1. 0.91453233 -0.40728028]\n",
" [ 0.91453233 1. -0.38332614]\n",
" [-0.40728028 -0.38332614 1. ]]\n",
"\n",
"Matriz de Correlación Simulada con el ajuste:\n",
"[[ 1. 0.91453253 -0.39532122]\n",
" [ 0.91453253 1. -0.37264219]\n",
" [-0.39532122 -0.37264219 1. ]]\n"
]
}
],
"source": [
"x3 = st.norm.ppf(U2)\n",
"x3[:,0] = st.norm.ppf(U2[:,0], loc=0.5, scale=0.3)\n",
"x3[:,1] = st.t.ppf(U2[:,1], df = n - 1)\n",
"x3[:,2] = st.uniform.ppf(U2[:,2])\n",
"\n",
"correl_3 = np.corrcoef(x3.T)\n",
"\n",
"print(\"Matriz de Correlación Original:\")\n",
"print(correl)\n",
"print(\"\")\n",
"print(\"Matriz de Correlación Simulada con el ajuste:\")\n",
"print(correl_3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Graficando la relacion de la serie con distribucion normal y t:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"hist_scatter(x3[:,0], x3[:,1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Graficando la relacion de la serie con distribucion normal y uniforme:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"hist_scatter(x3[:,0], x3[:,2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Y con eso pueden ver que se han generados muestras de distintas distribuciones correlacionadas."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### B. Cópula t-Student.\n",
"\n",
"La cópula t-Student es una cópula construida a partir de una distribución t-Student multivariada. Si quieren ver las matemáticas pueden revisar el paper de __[este link](http://www.ressources-actuarielles.net/EXT/ISFA/1226.nsf/0/303eb11b4d617b79c1257b0800744575/$FILE/t%20copula%20demarta%20mcneil.pdf)__. \n",
"\n",
"El método para generer números aleatorios correlacionados con una cópula t-Student es el siguiente:\n",
"1. A partir de la matriz de correlación calculamos la matriz $L$(descomposición de Cholesky).\n",
"1. Calculamos los grados de libertad con la fórmua $\\nu = (n-1)*d$, donde $d$ es el numero de dimensiones y $n$ el número de observaciones a simular.\n",
"1. Generamos un vector $V$ de dimension de números aleatorios independientes con distribución $\\chi(\\nu)$.\n",
"1. Generamos una matriz $x$ de números aleatorios independientes con distribución $N(0,1)$.\n",
"1. Calculamos la matriz $s = \\sqrt{\\frac{\\nu}{V}} * (x * L^T)$.\n",
"1. Aplicamos la función de distribución acumulativa t-Student $t_{\\nu}$ a la matriz $s$, de la forma: $U = t_{\\nu}(s)$.\n",
"1. Aplicamos la función de distribución que querramos a cada columna de $U$.\n",
"\n",
"Ahora vamos a mostrar un ejemplo =D de la simulación con la cópula t-Student:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Matriz de Correlación Original:\n",
"[[ 1. 0.91453233 -0.40728028]\n",
" [ 0.91453233 1. -0.38332614]\n",
" [-0.40728028 -0.38332614 1. ]]\n",
"\n",
"Matriz de Correlación Simulada sin el ajuste:\n",
"[[ 1. 0.91659142 -0.41285512]\n",
" [ 0.91659142 1. -0.39114058]\n",
" [-0.41285512 -0.39114058 1. ]]\n"
]
}
],
"source": [
"x = rs.randn(n, m)\n",
"x = np.matrix(x)\n",
"\n",
"v = (n - 1) * m\n",
"V = rs.chisquare(v, size = (n, 1))\n",
"\n",
"s4 = np.sqrt(v/V) * np.array(x * L.T)\n",
"U4 = st.t.cdf(s4, v)\n",
"\n",
"x4 = st.t.ppf(U4, v)\n",
"#x4[:,0] = st.norm.ppf(U4[:,0])\n",
"#x4[:,1] = st.t.ppf(U4[:,1], df = 2)\n",
"#x4[:,2] = st.uniform.ppf(U4[:,2])\n",
"\n",
"correl_4 = np.corrcoef(x4.T)\n",
"\n",
"print(\"Matriz de Correlación Original:\")\n",
"print(correl)\n",
"print(\"\")\n",
"print(\"Matriz de Correlación Simulada sin el ajuste:\")\n",
"print(correl_4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Se aprecia que al igual que para las copulas gaussianas, la aproximación no es muy buena. Si aplicamos el truco de anterior:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Matriz de Correlación Original:\n",
"[[ 1. 0.91453233 -0.40728028]\n",
" [ 0.91453233 1. -0.38332614]\n",
" [-0.40728028 -0.38332614 1. ]]\n",
"\n",
"Matriz de Correlación Simulada con el ajuste:\n",
"[[ 1. 0.91453233 -0.40728028]\n",
" [ 0.91453233 1. -0.38332614]\n",
" [-0.40728028 -0.38332614 1. ]]\n"
]
}
],
"source": [
"x = rs.randn(n, m)\n",
"x = np.matrix(np.sqrt(v/V) * np.array(x))\n",
"\n",
"for i in range(0,3):\n",
" c1 = np.cov(x.T)\n",
" L1 = np.linalg.cholesky(c1)\n",
" L1 = np.matrix(L1).I\n",
" x = x * L1.T\n",
"\n",
"s5 = x * L.T\n",
"U5 = st.t.cdf(s5, v)\n",
"\n",
"x5 = st.t.ppf(U5, v)\n",
"\n",
"correl_5 = np.corrcoef(x5.T)\n",
"\n",
"print(\"Matriz de Correlación Original:\")\n",
"print(correl)\n",
"print(\"\")\n",
"print(\"Matriz de Correlación Simulada con el ajuste:\")\n",
"print(correl_5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ahora pueden ver que la correlacion ha mejorado comparado a la simulación anterior. \n",
"\n",
"Usando la simulación anterior aplicaremos las inversas acumulativas de las distribuciones normal, t y uniforme para calcular las nuevas distribuciones correlacionadas."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Matriz de Correlación Original:\n",
"[[ 1. 0.91453233 -0.40728028]\n",
" [ 0.91453233 1. -0.38332614]\n",
" [-0.40728028 -0.38332614 1. ]]\n",
"\n",
"Matriz de Correlación Simulada con el ajuste:\n",
"[[ 1. 0.91453226 -0.3952915 ]\n",
" [ 0.91453226 1. -0.37008472]\n",
" [-0.3952915 -0.37008472 1. ]]\n"
]
}
],
"source": [
"x6 = st.t.ppf(U5, v)\n",
"x6[:,0] = st.norm.ppf(U5[:,0])\n",
"x6[:,1] = st.t.ppf(U5[:,1], df = n - 1)\n",
"x6[:,2] = st.uniform.ppf(U5[:,2])\n",
"\n",
"correl_6 = np.corrcoef(x6.T)\n",
"\n",
"print(\"Matriz de Correlación Original:\")\n",
"print(correl)\n",
"print(\"\")\n",
"print(\"Matriz de Correlación Simulada con el ajuste:\")\n",
"print(correl_6)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Graficando la relacion de la serie con distribucion normal y uniforme:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"hist_scatter(x6[:,0], x6[:,2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Espero les haya gustado mi post :D. Nos vemos en el próximo post."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
@PANCHODELPUENTE
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