{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Copula - Multivariate joint distribution" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-07-28T18:48:23.540572Z", "iopub.status.busy": "2026-07-28T18:48:23.540404Z", "iopub.status.idle": "2026-07-28T18:48:25.781236Z", "shell.execute_reply": "2026-07-28T18:48:25.778776Z" } }, "outputs": [], "source": [ "import numpy as np\n", "from scipy import stats\n", "import seaborn as sns\n", "\n", "sns.set_style(\"darkgrid\")\n", "sns.mpl.rc(\"figure\", figsize=(8, 8))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-07-28T18:48:25.786377Z", "iopub.status.busy": "2026-07-28T18:48:25.786037Z", "iopub.status.idle": "2026-07-28T18:48:25.798083Z", "shell.execute_reply": "2026-07-28T18:48:25.797664Z" } }, "outputs": [ { "data": { "application/javascript": [ "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;\n", "}\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%javascript\n", "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;\n", "}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When modeling a system, there are often cases where multiple parameters are involved. Each of these parameters could be described with a given Probability Density Function (PDF). If would like to be able to generate a new set of parameter values, we need to be able to sample from these distributions-also called marginals. There are mainly two cases: *(i)* PDFs are independent; *(ii)* there is a dependency. One way to model the dependency it to use a **copula**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sampling from a copula\n", "\n", "Let's use a bi-variate example and assume first that we have a prior and know how to model the dependence between our 2 variables.\n", "\n", "In this case, we are using the Gumbel copula and fix its hyperparameter `theta=2`. We can visualize it's 2-dimensional PDF." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-07-28T18:48:25.806024Z", "iopub.status.busy": "2026-07-28T18:48:25.805861Z", "iopub.status.idle": "2026-07-28T18:48:26.446784Z", "shell.execute_reply": "2026-07-28T18:48:26.445760Z" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from statsmodels.distributions.copula.api import (\n", " CopulaDistribution,\n", " GumbelCopula,\n", " IndependenceCopula,\n", ")\n", "\n", "copula = GumbelCopula(theta=2)\n", "_ = copula.plot_pdf() # returns a matplotlib figure" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we can sample the PDF." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-07-28T18:48:26.452056Z", "iopub.status.busy": "2026-07-28T18:48:26.451824Z", "iopub.status.idle": "2026-07-28T18:48:26.981047Z", "shell.execute_reply": "2026-07-28T18:48:26.979962Z" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sample = copula.rvs(10000)\n", "h = sns.jointplot(x=sample[:, 0], y=sample[:, 1], kind=\"hex\")\n", "_ = h.set_axis_labels(\"X1\", \"X2\", fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's come back to our 2 variables for a second. In this case we consider them to be gamma and normally distributed. If they would be independent from each other, we could sample from each PDF individually. Here we use a convenient class to do the same operation.\n", "\n", "### Reproducibility\n", "\n", "Generating reproducible random values from copulas required explicitly setting the `seed` argument.\n", "`seed` accepts either an initialized NumPy `Generator` or `RandomState`, or any argument acceptable\n", "to `np.random.default_rng`, e.g., an integer or a sequence of integers. This example uses an\n", "integer.\n", "\n", "The singleton `RandomState` that is directly exposed in the `np.random` distributions is\n", "not used, and setting `np.random.seed` has no effect on the values generated." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-07-28T18:48:26.991909Z", "iopub.status.busy": "2026-07-28T18:48:26.988519Z", "iopub.status.idle": "2026-07-28T18:48:27.527131Z", "shell.execute_reply": "2026-07-28T18:48:27.525584Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_4291/3988565532.py:3: FutureWarning: the 'random_state' keyword is deprecated, use 'rng' instead.\n", " sample = joint_dist.rvs(512, random_state=20210801)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "marginals = [stats.gamma(2), stats.norm]\n", "joint_dist = CopulaDistribution(copula=IndependenceCopula(), marginals=marginals)\n", "sample = joint_dist.rvs(512, random_state=20210801)\n", "h = sns.jointplot(x=sample[:, 0], y=sample[:, 1], kind=\"scatter\")\n", "_ = h.set_axis_labels(\"X1\", \"X2\", fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, above we have expressed the dependency between our variables using a copula, we can use this copula to sample a new set of observation with the same convenient class." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-07-28T18:48:27.535908Z", "iopub.status.busy": "2026-07-28T18:48:27.533132Z", "iopub.status.idle": "2026-07-28T18:48:28.204587Z", "shell.execute_reply": "2026-07-28T18:48:28.203611Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_4291/628178293.py:4: FutureWarning: the 'random_state' keyword is deprecated, use 'rng' instead.\n", " sample = joint_dist.rvs(512, random_state=rng)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "joint_dist = CopulaDistribution(copula, marginals)\n", "# Use an initialized Generator object\n", "rng = np.random.default_rng([2, 0, 2, 1, 0, 8, 0, 1])\n", "sample = joint_dist.rvs(512, random_state=rng)\n", "h = sns.jointplot(x=sample[:, 0], y=sample[:, 1], kind=\"scatter\")\n", "_ = h.set_axis_labels(\"X1\", \"X2\", fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two things to note here. *(i)* as in the independent case, the marginals are correctly showing a gamma and normal distribution; *(ii)* the dependence is visible between the two variables." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimating copula parameters\n", "\n", "Now, imagine we already have experimental data and we know that there is a dependency that can be expressed using a Gumbel copula. But we don't know what is the hyperparameter value for our copula. In this case, we can estimate the value.\n", "\n", "We are going to use the sample we just generated as we already know the value of the hyperparameter we should get: `theta=2`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2026-07-28T18:48:28.207796Z", "iopub.status.busy": "2026-07-28T18:48:28.207555Z", "iopub.status.idle": "2026-07-28T18:48:28.214317Z", "shell.execute_reply": "2026-07-28T18:48:28.213614Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.049379621506455\n" ] } ], "source": [ "copula = GumbelCopula()\n", "theta = copula.fit_corr_param(sample)\n", "print(theta)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the estimated hyperparameter value is close to the value set previously." ] } ], "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": "3.14.6" } }, "nbformat": 4, "nbformat_minor": 4 }