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@jessegrabowski
Created June 5, 2025 03:29
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Time Series Disaggregation in PyMC
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "c6cd622b",
"metadata": {},
"outputs": [],
"source": [
"from tsdisagg import disaggregate_series\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"plot_defaults = {\n",
" \"figure.figsize\": (14, 4),\n",
" \"figure.facecolor\": \"white\",\n",
" \"axes.grid\": True,\n",
" \"grid.linewidth\": 0.5,\n",
" \"grid.linestyle\": \"--\",\n",
" \"axes.spines.top\": False,\n",
" \"axes.spines.bottom\": False,\n",
" \"axes.spines.left\": False,\n",
" \"axes.spines.right\": False,\n",
"}\n",
"\n",
"plt.rcParams.update(plot_defaults)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "be3a0bcc",
"metadata": {},
"outputs": [],
"source": [
"sales_a = pd.read_csv(\"https://raw.githubusercontent.com/jessegrabowski/tsdisagg/refs/heads/main/tests/data/sales_a.csv\", index_col=0)\n",
"sales_a.index = pd.date_range(start=\"1975-01-01\", freq=\"YS\", periods=sales_a.shape[0])\n",
"sales_a.columns = [\"sales\"]\n",
"\n",
"exports_q = pd.read_csv(\"https://raw.githubusercontent.com/jessegrabowski/tsdisagg/refs/heads/main/tests/data/exports_q.csv\", index_col=0)\n",
"exports_q.index = pd.date_range(start=\"1972-01-01\", freq=\"QS\", periods=exports_q.shape[0])\n",
"exports_q.columns = [\"exports\"]\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "13dc1216",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Dependent Variable: yearly_sales\n",
"GLS Estimates using Chow-Lin's covariance matrix\n",
"N = 158\t\tdf = 154\n",
"Adj r2 = 0.9948\n",
"\n",
"Variable coef sd err t P > |t| [0.025 0.975]\n",
"----------------------------------------------------------------------------------------------------\n",
"exports 0.0134 0.0001 91.0941 0.0000 0.0131 0.0137\n",
"intercept 12.4089 1.2963 9.5724 0.0000 9.8480 14.9697\n",
"\n",
"rho 0.0000\n",
"sigma.sq 98.8717\n"
]
}
],
"source": [
"sales_q_chow_lin = disaggregate_series(\n",
" sales_a,\n",
" exports_q.assign(intercept=1),\n",
" method=\"chow-lin\",\n",
" agg_func=\"sum\",\n",
" optimizer_kwargs={\"method\": \"powell\"},\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "d4191ec5",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: >"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 1400x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sales_q_chow_lin.plot()"
]
},
{
"cell_type": "markdown",
"id": "8b9b7dba",
"metadata": {},
"source": [
"# PyMC Model"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "5329a59f",
"metadata": {},
"outputs": [],
"source": [
"from tsdisagg.ts_disagg import build_conversion_matrix, prepare_input_dataframes"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "70aab253",
"metadata": {},
"outputs": [],
"source": [
"_, low_freq_df, high_freq_df, time_conversion_factor = prepare_input_dataframes(\n",
" sales_a, exports_q.assign(intercept=1), target_freq=None, method='chow-lin'\n",
")\n",
"C = build_conversion_matrix(low_freq_df, high_freq_df, time_conversion_factor, agg_func='sum')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "1664c59e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0]]\n"
]
}
],
"source": [
"with np.printoptions(linewidth=1000, edgeitems=20):\n",
" print(C.astype(int))"
]
},
{
"cell_type": "markdown",
"id": "81fe5119",
"metadata": {},
"source": [
"## Simple Model\n",
"\n",
"Ignore the special covariance matrix Chow-Lin uses"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "6b0b708b",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (4 chains in 4 jobs)\n",
"NUTS: [beta, sigma_sq]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "06c8b5e2456f48ad960ee3f4eaa58301",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
],
"text/plain": []
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 1 seconds.\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "9adcd48be1304cedaaf8722790130be8",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
],
"text/plain": []
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import pymc as pm\n",
"\n",
"coords={'feature': ['exports', 'intercept'], \n",
" 'high_freq_time': high_freq_df.index,\n",
" 'low_freq_time': low_freq_df.index}\n",
"\n",
"with pm.Model(coords=coords) as simple_model:\n",
" \n",
" y = pm.Data('y', low_freq_df['yearly_sales'], dims=['low_freq_time'])\n",
" X = pm.Data('X', high_freq_df, dims=['high_freq_time', 'feature'])\n",
" \n",
" beta = pm.Normal('beta', 0, 10, dims=['feature'])\n",
" \n",
" mu_quarterly_sales = pm.Deterministic('mu_quarterly_sales', X @ beta, dims=['high_freq_time']) \n",
" mu_annual_sales = C @ mu_quarterly_sales\n",
" \n",
" sigma_sq = pm.Exponential('sigma_sq', 1)\n",
" \n",
" y_hat = pm.Normal('y_hat', \n",
" mu=mu_annual_sales, \n",
" sigma=pm.math.sqrt(sigma_sq), \n",
" observed=y, dims=['low_freq_time'])\n",
" \n",
" idata_1 = pm.sample()\n",
" idata_1 = pm.compute_log_likelihood(idata_1, extend_inferencedata=True)\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "c129e625",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>sd</th>\n",
" <th>hdi_3%</th>\n",
" <th>hdi_97%</th>\n",
" <th>mcse_mean</th>\n",
" <th>mcse_sd</th>\n",
" <th>ess_bulk</th>\n",
" <th>ess_tail</th>\n",
" <th>r_hat</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>beta[exports]</th>\n",
" <td>0.013</td>\n",
" <td>0.000</td>\n",
" <td>0.013</td>\n",
" <td>0.014</td>\n",
" <td>0.000</td>\n",
" <td>0.000</td>\n",
" <td>2122.0</td>\n",
" <td>2176.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>beta[intercept]</th>\n",
" <td>12.371</td>\n",
" <td>0.630</td>\n",
" <td>11.217</td>\n",
" <td>13.570</td>\n",
" <td>0.014</td>\n",
" <td>0.011</td>\n",
" <td>2141.0</td>\n",
" <td>2238.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>sigma_sq</th>\n",
" <td>78.777</td>\n",
" <td>6.083</td>\n",
" <td>67.520</td>\n",
" <td>90.354</td>\n",
" <td>0.125</td>\n",
" <td>0.094</td>\n",
" <td>2330.0</td>\n",
" <td>2420.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk \\\n",
"beta[exports] 0.013 0.000 0.013 0.014 0.000 0.000 2122.0 \n",
"beta[intercept] 12.371 0.630 11.217 13.570 0.014 0.011 2141.0 \n",
"sigma_sq 78.777 6.083 67.520 90.354 0.125 0.094 2330.0 \n",
"\n",
" ess_tail r_hat \n",
"beta[exports] 2176.0 1.0 \n",
"beta[intercept] 2238.0 1.0 \n",
"sigma_sq 2420.0 1.0 "
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import arviz as az\n",
"az.summary(idata_1, var_names=['~mu_quarterly_sales'])"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "100be4c5",
"metadata": {},
"outputs": [],
"source": [
"def get_mu_hdi(idata, var_name='mu_quarterly_sales'):\n",
" mu = idata.posterior[var_name].mean(dim=['chain', 'draw'])\n",
" hdi = az.hdi(idata.posterior[var_name])[var_name]\n",
" \n",
" return mu, hdi"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "0ebc46b8",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 1400x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"hf_dates = sales_q_chow_lin.index\n",
"mu, hdi = get_mu_hdi(idata_1)\n",
"\n",
"ax.plot(hf_dates, sales_q_chow_lin.values, label='Chow-Lin Method')\n",
"\n",
"ax.plot(hf_dates, mu, label='Posterior Mean', color='tab:red')\n",
"ax.fill_between(hf_dates, *hdi.values.T, alpha=0.25, color='tab:red', label='94% HDI')\n",
"\n",
"ax.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "126582d5",
"metadata": {},
"source": [
"## Full Covariance\n",
"\n",
"Build the covariance matrix"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "ed045f04",
"metadata": {},
"outputs": [],
"source": [
"import pytensor.tensor as pt\n",
"from pytensor.tensor.einsum import _iota"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "900f7b73",
"metadata": {},
"outputs": [],
"source": [
"def build_chao_lin_covariance(rho, sigma_e_sq, n):\n",
" # Iota is a helper function to make matrices of arange, e.g. if n=3 and axis=0:\n",
" # [[0, 0, 0],\n",
" # [1, 1, 1],\n",
" # [2, 2, 2]]\n",
" iota = _iota((n, n), axis=0)\n",
" power_matrix = pt.abs(iota - iota.T)\n",
"\n",
" Σ_CL = rho**power_matrix\n",
" Σ_CL *= sigma_e_sq / (1 - rho**2)\n",
"\n",
" return Σ_CL"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "b46ce023",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (4 chains in 4 jobs)\n",
"NUTS: [beta, sigma_sq, rho]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "0506d49a43b84ac79dd5eec96a6d6858",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
],
"text/plain": []
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 5 seconds.\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "5adcafc702f84888bf2aa5bce76648d7",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
],
"text/plain": []
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import pymc as pm\n",
"\n",
"with pm.Model(coords=coords | {'low_freq_time_bis': coords['low_freq_time']}) as full_model:\n",
" \n",
" y = pm.Data('y', low_freq_df['yearly_sales'], dims=['low_freq_time'])\n",
" X = pm.Data('X', high_freq_df, dims=['high_freq_time', 'feature'])\n",
" \n",
" beta = pm.Normal('beta', 0, 10, dims=['feature'])\n",
" \n",
" mu_quarterly_sales = pm.Deterministic('mu_quarterly_sales', X @ beta, dims=['high_freq_time']) \n",
" mu_annual_sales = C @ mu_quarterly_sales\n",
" \n",
" sigma_sq = pm.Exponential('sigma_sq', 1)\n",
" rho = pm.Beta('rho', 1, 1)\n",
" cov = pm.Deterministic('cov',\n",
" build_chao_lin_covariance(rho, sigma_sq, y.shape[0]), \n",
" dims=['low_freq_time', 'low_freq_time_bis'])\n",
" \n",
" y_hat = pm.MvNormal('y_hat', mu=mu_annual_sales, cov=cov, observed=y, dims=['low_freq_time'])\n",
" idata_2 = pm.sample()\n",
" idata_2 = pm.compute_log_likelihood(idata_2, extend_inferencedata=True)\n"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "80003c95",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>sd</th>\n",
" <th>hdi_3%</th>\n",
" <th>hdi_97%</th>\n",
" <th>mcse_mean</th>\n",
" <th>mcse_sd</th>\n",
" <th>ess_bulk</th>\n",
" <th>ess_tail</th>\n",
" <th>r_hat</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>beta[exports]</th>\n",
" <td>0.013</td>\n",
" <td>0.000</td>\n",
" <td>0.013</td>\n",
" <td>0.014</td>\n",
" <td>0.000</td>\n",
" <td>0.000</td>\n",
" <td>1942.0</td>\n",
" <td>1995.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>beta[intercept]</th>\n",
" <td>12.414</td>\n",
" <td>0.667</td>\n",
" <td>11.207</td>\n",
" <td>13.691</td>\n",
" <td>0.015</td>\n",
" <td>0.013</td>\n",
" <td>2007.0</td>\n",
" <td>1560.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>sigma_sq</th>\n",
" <td>78.999</td>\n",
" <td>6.002</td>\n",
" <td>68.224</td>\n",
" <td>90.268</td>\n",
" <td>0.126</td>\n",
" <td>0.111</td>\n",
" <td>2252.0</td>\n",
" <td>2257.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>rho</th>\n",
" <td>0.048</td>\n",
" <td>0.042</td>\n",
" <td>0.000</td>\n",
" <td>0.124</td>\n",
" <td>0.001</td>\n",
" <td>0.001</td>\n",
" <td>2662.0</td>\n",
" <td>1670.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk \\\n",
"beta[exports] 0.013 0.000 0.013 0.014 0.000 0.000 1942.0 \n",
"beta[intercept] 12.414 0.667 11.207 13.691 0.015 0.013 2007.0 \n",
"sigma_sq 78.999 6.002 68.224 90.268 0.126 0.111 2252.0 \n",
"rho 0.048 0.042 0.000 0.124 0.001 0.001 2662.0 \n",
"\n",
" ess_tail r_hat \n",
"beta[exports] 1995.0 1.0 \n",
"beta[intercept] 1560.0 1.0 \n",
"sigma_sq 2257.0 1.0 \n",
"rho 1670.0 1.0 "
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"az.summary(idata_2, var_names=['~mu_quarterly_sales', '~cov'])"
]
},
{
"cell_type": "markdown",
"id": "8e812530",
"metadata": {},
"source": [
"The estimated covaraince matrix is just diagonal. This is because the estimated value of rho is basically zero."
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "c868c82c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: >"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 1400x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import seaborn as sns\n",
"cov_mean = idata_2.posterior.cov.mean(dim=['chain', 'draw'])\n",
"sns.heatmap(cov_mean.values)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "98000840",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1400x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"mu, hdi = get_mu_hdi(idata_2)\n",
"\n",
"ax.plot(hf_dates, sales_q_chow_lin.values, label='Chow-Lin Method')\n",
"ax.plot(hf_dates, mu, label='Posterior Mean', color='tab:red')\n",
"ax.fill_between(hf_dates, *hdi.values.T, alpha=0.25, color='tab:red', label='94% HDI')\n",
"ax.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "3ec9569f",
"metadata": {},
"source": [
"## Comparison of Methods\n",
"\n",
"Since the estimated rho was super low, adding the full covaraince matrix didn't change much of anything."
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "763aab21",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1400x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"mu_1, hdi_1 = get_mu_hdi(idata_1)\n",
"mu_2, hdi_2 = get_mu_hdi(idata_2)\n",
"\n",
"ax.plot(hf_dates, mu_1, label='Simple Mean', color='tab:blue')\n",
"ax.fill_between(hf_dates, *hdi_1.values.T, alpha=0.25, color='tab:blue', label='Simple 94% HDI')\n",
"\n",
"ax.plot(hf_dates, mu_2, label='Full Cov Mean', color='tab:red')\n",
"ax.fill_between(hf_dates, *hdi_2.values.T, alpha=0.25, color='tab:red', label='Full 94% HDI')\n",
"\n",
"\n",
"ax.legend()\n",
"plt.show()"
]
}
],
"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": "3.12.9"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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