{ "cells": [ { "cell_type": "markdown", "id": "8ef12ff3", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Composite distribution\n", "\n", "A composite distribution, $F(x)$, is a weighted sum of other distributions:\n", "\n", "$F(x) = \\Sigma_{i=1}^{n} w_i \\cdot P( X_i \\leq x)$ and $\\Sigma_{i=1}^{n} w_i = 1.0$\n", "\n", "where:\n", "* $X_i$ is a random variable
\n", "* $w_i$ is a weight associated with random variable $X_i$
\n", "* $x$ is a realization\n", "\n", "In this example, we demonstrate how to define a composite distribution using the probabilistic library.\n", "\n", "First, let's import the necessary packages:" ] }, { "cell_type": "code", "execution_count": 1, "id": "4989b056", "metadata": {}, "outputs": [], "source": [ "from probabilistic_library import DistributionType, ContributingStochast, ConditionalValue, Stochast, StandardNormal\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "3275e7b0", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "### Defining a composite distribution\n", "\n", "We want to define a composite distribution $w_{1}\\cdot P(X_{1}\\leq x) + w_{2} \\cdot P(X_{2}\\leq x)$, where $X_1$ is normally distributed with mean $1.0$ and standard deviation $0.5$, and $X_2$ is normally distributed with mean $4.0$ and standard deviation $0.3$. The weights are $0.2$ and $0.8$, respectively.\n", "\n", "To define such a distribution, we first define the variables $X_1$ and $X_2$. This is done in the standard way:" ] }, { "cell_type": "code", "execution_count": 2, "id": "b6a84956", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x1 = Stochast()\n", "x1.distribution = DistributionType.normal\n", "x1.location = 1.0\n", "x1.scale = 0.5\n", "x1.plot()" ] }, { "cell_type": "code", "execution_count": 3, "id": "8262bc11", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x2 = Stochast()\n", "x2.distribution = DistributionType.normal\n", "x2.location = 4.0\n", "x2.scale = 0.3\n", "x2.plot()" ] }, { "cell_type": "markdown", "id": "95baa734", "metadata": {}, "source": [ "Next, we create a new random variable of `composite` type and append the two contributing random variables and their corresponding weights using the `ContributingStochast` class. This results in the composite distribution." ] }, { "cell_type": "code", "execution_count": 4, "id": "a5366ab5", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "gallery", "statistics" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "w1 = 0.2\n", "w2 = 0.8\n", "\n", "stochast = Stochast()\n", "stochast.distribution = DistributionType.composite\n", "stochast.contributing_stochasts.append(ContributingStochast.create(w1, x1))\n", "stochast.contributing_stochasts.append(ContributingStochast.create(w2, x2))\n", "\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "ac1296d5", "metadata": {}, "source": [ "### Defining a composite conditional distribution\n", "\n", "We can make this example more complex by making the second variable, $X_2$, conditional on a certain source variable (which is not relevant for this example). This is done as follows:" ] }, { "cell_type": "code", "execution_count": 5, "id": "208025d0", "metadata": {}, "outputs": [], "source": [ "x2 = Stochast()\n", "x2.distribution = DistributionType.normal\n", "x2.conditional = True\n", "\n", "source_value = [1.0, 4.0]\n", "mu = [1.0, 4.0]\n", "sigma = [0.5, 0.3]\n", "for ii in range(0, len(source_value)):\n", " conditional = ConditionalValue()\n", " conditional.x = source_value[ii]\n", " conditional.location = mu[ii]\n", " conditional.scale = sigma[ii]\n", " x2.conditional_values.append(conditional)" ] }, { "cell_type": "markdown", "id": "ddf83444", "metadata": {}, "source": [ "We create the composite random variable:" ] }, { "cell_type": "code", "execution_count": 6, "id": "271f1711", "metadata": {}, "outputs": [], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.composite\n", "stochast.contributing_stochasts.append(ContributingStochast.create(w1, x1))\n", "stochast.contributing_stochasts.append(ContributingStochast.create(w2, x2))" ] }, { "cell_type": "markdown", "id": "16640745", "metadata": {}, "source": [ "When the source variable is equal to $4.0$, then the composite distribution is the same as in the first example:" ] }, { "cell_type": "code", "execution_count": 7, "id": "d7b44a4c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Cdf of a composite distribution, source = 4.0')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source_value = 4.0\n", "p = np.arange(0.0001, 1.0, 0.001)\n", "u = [StandardNormal.get_u_from_p(val) for val in p]\n", "x = [stochast.get_x_from_u_and_source(val, source_value) for val in u]\n", "plt.plot(x, p, 'r--')\n", "plt.xlabel('value [x]')\n", "plt.ylabel('cdf [-]')\n", "plt.title(f'Cdf of a composite distribution, source = {source_value}')" ] }, { "cell_type": "markdown", "id": "5053d7b8", "metadata": {}, "source": [ "When the source variable is equal to $1.0$, then the composite distribution is equal to the distribution of $X_1$:" ] }, { "cell_type": "code", "execution_count": 8, "id": "4c2b548a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Cdf of a composite distribution, source = 1.0')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source_value = 1.0\n", "x = [stochast.get_x_from_u_and_source(val, source_value) for val in u]\n", "plt.plot(x, p, 'r--')\n", "plt.xlabel('value [x]')\n", "plt.ylabel('cdf [-]')\n", "plt.title(f'Cdf of a composite distribution, source = {source_value}')" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.12.10" }, "toc": { "base_numbering": -3 } }, "nbformat": 4, "nbformat_minor": 5 }