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Merge pull request #220 from DoubleML/s-irm-apo-example
IRM and APO comparisons
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doc/conf.py

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'sphinx.ext.autodoc',
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'sphinx.ext.autosummary',
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'sphinx.ext.coverage',
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'sphinx.ext.doctest',
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'sphinx.ext.graphviz',
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'sphinx.ext.intersphinx',
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'sphinx.ext.mathjax',

doc/examples/index.rst

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py_double_ml_pension.ipynb
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py_double_ml_sensitivity.ipynb
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py_double_ml_apo.ipynb
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py_double_ml_irm_vs_apo.ipynb
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py_double_ml_learner.ipynb
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py_double_ml_firststage.ipynb
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py_double_ml_multiway_cluster.ipynb

doc/examples/py_double_ml_apo.ipynb

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doc/examples/py_double_ml_cate.ipynb

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"\n",
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"We define a data generating process to create synthetic data to compare the estimates to the true effect. The data generating process is based on the Monte Carlo simulation from [Oprescu et al. (2019)](http://proceedings.mlr.press/v97/oprescu19a.html).\n",
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"\n",
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"The documentation of the data generating process can be found [here](https://docs.doubleml.org/dev/api/datasets.html#dataset-generators)."
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"The documentation of the data generating process can be found [here](https://docs.doubleml.org/stable/api/datasets.html#dataset-generators)."
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]
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},
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{
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.11.2"
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"version": "3.12.3"
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},
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"vscode": {
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"interpreter": {

doc/examples/py_double_ml_cate_plr.ipynb

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"\n",
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"We define a data generating process to create synthetic data to compare the estimates to the true effect. The data generating process is based on the Monte Carlo simulation from [Oprescu et al. (2019)](http://proceedings.mlr.press/v97/oprescu19a.html).\n",
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"\n",
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"The documentation of the data generating process can be found [here](https://docs.doubleml.org/dev/api/datasets.html#dataset-generators)."
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"The documentation of the data generating process can be found [here](https://docs.doubleml.org/stable/api/datasets.html#dataset-generators)."
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]
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},
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{

doc/examples/py_double_ml_gate.ipynb

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"\n",
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"We define a data generating process to create synthetic data to compare the estimates to the true effect. The data generating process is based on the Monte Carlo simulation from [Oprescu et al. (2019)](http://proceedings.mlr.press/v97/oprescu19a.html).\n",
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"\n",
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"The documentation of the data generating process can be found [here](https://docs.doubleml.org/dev/api/datasets.html#dataset-generators). In this example the true effect depends only the first covariate $X_0$ and takes the following form\n",
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"The documentation of the data generating process can be found [here](https://docs.doubleml.org/stable/api/datasets.html#dataset-generators). In this example the true effect depends only the first covariate $X_0$ and takes the following form\n",
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"\n",
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"$$\n",
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"\\theta_0(X) = \\exp(2X_0) + 3\\sin(4X_0).\n",

doc/examples/py_double_ml_gate_plr.ipynb

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"\n",
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"We define a data generating process to create synthetic data to compare the estimates to the true effect. The data generating process is based on the Monte Carlo simulation from [Oprescu et al. (2019)](http://proceedings.mlr.press/v97/oprescu19a.html).\n",
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"\n",
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"The documentation of the data generating process can be found [here](https://docs.doubleml.org/dev/api/datasets.html#dataset-generators). In this example the true effect depends only the first covariate $X_0$ and takes the following form\n",
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"The documentation of the data generating process can be found [here](https://docs.doubleml.org/stable/api/datasets.html#dataset-generators). In this example the true effect depends only the first covariate $X_0$ and takes the following form\n",
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"\n",
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"$$\n",
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"\\theta_0(X) = \\exp(2X_0) + 3\\sin(4X_0).\n",

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