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QuantEcon
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auto publishing updates to notebooks
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classical_filtering.ipynb

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"\n",
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"<a id='equation-eq-55'></a>\n",
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"$$\n",
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"x_t = \\sum^{t-1}_{j=0} L^{-1}_{t,t-j}\\, \\varepsilon_{t-j}\\ \\tag{4}\n",
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"x_t = \\sum^{t-1}_{j=0} L^{-1}_{t,t-j}\\, \\varepsilon_{t-j} \\tag{4}\n",
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"$$\n",
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"\n",
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"where $ L^{-1}_{i,j} $ denotes the $ i,j $ element of $ L^{-1} $.\n",
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}
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],
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"metadata": {
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"date": 1618445001.1037347,
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"date": 1618466082.8170164,
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"filename": "classical_filtering.rst",
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"kernelspec": {
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"display_name": "Python",

index.ipynb

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}
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],
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"metadata": {
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"date": 1618445003.1454759,
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"date": 1618527696.2497108,
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"filename": "index.rst",
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"kernelspec": {
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"display_name": "Python",

index_dynamic_programming_squared.ipynb

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}
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],
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"metadata": {
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"date": 1618445003.415691,
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"date": 1618527696.2941442,
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"filename": "index_dynamic_programming_squared.rst",
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"kernelspec": {
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"display_name": "Python",

index_time_series_models.ipynb

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}
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],
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"metadata": {
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"date": 1618445003.5552995,
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"date": 1618466082.9377403,
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"filename": "index_time_series_models.rst",
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"kernelspec": {
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"display_name": "Python",

opt_tax_recur.ipynb

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"where $ s' $ denotes a next period value of $ s $ and\n",
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"$ x'(s') $ denotes a next period value of $ x $.\n",
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"\n",
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"Given $ n(s) $ for $ s = $, equation [(22)](#equation-lsa-budget2) is easy to solve for $ x(s) $ for\n",
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"Given $ n(s) $ for $ s = 1, \\ldots , S $, equation [(22)](#equation-lsa-budget2) is easy to solve for $ x(s) $ for\n",
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"$ s = 1, \\ldots , S $.\n",
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"\n",
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"If we let $ \\vec n, \\vec g, \\vec x $\n",
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"\n",
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"The value function $ V(x_t, s_t) $ of the time $ t $\n",
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"continuation Ramsey planner equals\n",
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"$ E_t \\sum_{\\tau = t}^\\infty \\beta^{\\tau - t} u(c_t, l_t) $, where\n",
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"$ E_t \\sum_{\\tau = t}^\\infty \\beta^{\\tau - t} u(c_\\tau, l_\\tau) $, where\n",
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"consumption and leisure processes are evaluated along the original\n",
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"time $ 0 $ Ramsey plan."
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]
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}
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],
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"metadata": {
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"date": 1618445005.595864,
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"date": 1618527696.4744513,
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"filename": "opt_tax_recur.rst",
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"kernelspec": {
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"display_name": "Python",

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