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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/kforeman/anaconda/lib/python2.7/site-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n",
" warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')\n"
]
}
],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"sns.set_style('ticks')\n",
"import scipy.sparse as sp"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Simulation parameters"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"draws = int(1e4)\n",
"T = 20\n",
"C = 2"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"#sigma = np.random.gamma(1, 1, C)\n",
"sigma = np.array([1.5, 2.5])\n",
"tau = 1. / sigma**2.\n",
"rho = .8"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# GMRF RW1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### RW1 GMRF matrix $R$ "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\n",
"R_{t_1,t_2} =\n",
"\\begin{cases}\n",
" 1 & \\text{if}\\ t_1=t_2=1\\ \\text{or}\\ t_1=t_2=T \\\\\n",
" 2 & \\text{if}\\ t_1=t_2\\ \\text{and}\\ 1<t_1<T \\\\\n",
" -1 & \\text{if}\\ |t_2-t_1|=1 \\\\\n",
" 0 & \\text{otherwise}\n",
"\\end{cases}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"R = np.zeros((T,T))\n",
"for t1 in range(T):\n",
" for t2 in range(T):\n",
" if t1 == t2:\n",
" if t1 == 0 or t1 == T-1:\n",
" r = 1\n",
" else:\n",
" r = 2\n",
" elif abs(t2 - t1) == 1:\n",
" r = -1\n",
" else:\n",
" r = 0\n",
" R[t1,t2] = r\n",
"R = sp.csc_matrix(R)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Correlation matrix $M$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\n",
"M_{c_1,c_2} = \n",
"\\begin{cases}\n",
" \\sigma_{c_1}^2 & \\text{if}\\ c_1 = c_2 \\\\\n",
" \\rho_{c_1 c_2} \\sigma_{c_1} \\sigma_{c_2} & \\text{otherwise}\n",
"\\end{cases}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"M = np.ones((C,C)) * rho * np.prod(sigma)\n",
"np.fill_diagonal(M, np.square(sigma))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Correlated RW precision matrix $Q$ for sampling GMRF"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\n",
"Q = M^{-1} \\otimes R\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"Q = sp.kron(np.linalg.inv(M), R)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Find (rank-deficient) eigenvalues and eigenvectors"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"eig_val, eig_vec = sp.linalg.eigsh(Q, k=(T-1)*C)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fill in 0 for missing values"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"eig_val_inv_sp = sp.diags(np.concatenate([1. / eig_val, np.zeros(C)]))\n",
"eig_vec_sp = sp.csc_matrix(np.hstack([eig_vec, np.zeros((T*C,C))]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Draw some random unit variance noise"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"z = np.random.normal(size=(T*C, draws))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Generate draws of the RW1 process"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"rw = eig_vec_sp.dot(eig_val_inv_sp.sqrt()).dot(z).reshape((T,C,draws), order='F')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Start at 0"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"pi = rw - rw[0]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Confirm that each country has same cross-sectional random walk attributes as when drawn independently"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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OSlLLchEREYUrIgt18KlUWnx7fL/88suyL4eIiCikiCzUMpU1s4666uwSzU4x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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x103a256d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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lzUd15XU4a9Dk8d/B4s29+n9m68p9pr4GiQj4XrhcmLvvMV15T7lOIcEcmLce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\nTUREFMH+P/JWrXOD0PHAAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11424c950>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for c in range(C):\n",
" sns.boxplot(data=pi[:,c].T)\n",
" plt.title('Country {}'.format(c+1))\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Check correlation between countries for a given year"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### T/2"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.JointGrid at 0x1175471d0>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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ZACy1aD2tnDSaFiGUS0Pgu5kvXN8nm3coON4pRYX5UtbVyzOMID+pWnqrBaPv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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1175472d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.jointplot(pi[T/2,0,:], pi[T/2,1,:], kind='hex', marginal_kws={'kde': True})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### T-1"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.JointGrid at 0x1182de790>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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WSOYnCtF+3eeLWofP7nTGbOsZDIuQKFnBim7wCizJUWM31VpAoeTVt6kivZLj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\nX+OAAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1186cf450>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.jointplot(pi[T-1,0,:], pi[T-1,1,:], kind='hex', marginal_kws={'kde': True})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Correlation matrix"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x118a86fd0>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Awk+kV/j4448RHh6ODz/8EIcPH0ZWVhb+/Oc/e3tsAACDWX1EsDlM0L5LUNNA0KKqcWWY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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1186cf2d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(np.corrcoef(pi.reshape([C*T,draws], order='F')))"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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