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Bandwidth Selection for Treatment Choice with Binary Outcomes

Takuya Ishihara

arXiv 28 Aug 2023 · Econometrics · publishedJapanese Economic Review (2023) · 1 citations (OpenAlex)

arXiv:2308.14375 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This study considers the treatment choice problem when outcome variables are binary. We focus on statistical treatment rules that plug in fitted values based on nonparametric kernel regression and show that optimizing two parameters enables the calculation of the maximum regret. Using this result, we propose a novel bandwidth selection method based on the minimax regret criterion. Finally, we perform a numerical analysis to compare the optimal bandwidth choices for the binary and normally distributed outcomes.

Citation extraction

8
references
32
in-text mentions
8
distinct cited
1
self-citations
3,353
main-text words

appendix boundary found by appendix_titled_section at “Appendix 1: Proofs of Theorem \ref{thm:main} and Lemma \ref{lem:s-d}” · 81% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Yata, K (2021) Optimal decision rules under partial identification1.00053100%
2Ishihara, T. and T. Kitagawa (2021) Evidence aggregation for treatment choice self0.96911691%
3Stoye, J (2012) Minimax regret treatment choice with covariates or with limited validity of experiments0.87472100%
4Manski, C. F (2007) Minimax-regret treatment choice with missing outcome data0.64422100%
5Manski, C. F (2004) Statistical treatment rules for heterogeneous populations0.64422100%
6Stoye, J (2009) Minimax regret treatment choice with finite samples0.64422100%
7Tetenov, A (2012) Statistical treatment choice based on asymmetric minimax regret criteria0.64422100%
8Li, Q. and J. S. Racine (2007) Nonparametric Econometrics: Theory and Practice0.40511100%

Showing the top 8 of 8 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Evidence Aggregation for Treatment Choice0.40511
2Treatment Choice with Nonlinear Regret0.40511
3Leave No One Undermined: Policy Targeting with Regret Aversion0.40511
4Optimal estimation for regression discontinuity design with binary outcomes0.00011