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Estimations of the Local Conditional Tail Average Treatment Effect

Le-Yu Chen, Yu-Min Yen

arXiv 18 Sep 2021 · Statistics — Applications · publishedJournal of Business and Economic Statistics (2024) · 1 citations (OpenAlex)

arXiv:2109.08793 · PDF · DOI · OpenAlex · Extracted main text

Abstract

The conditional tail average treatment effect (CTATE) is defined as a difference between the conditional tail expectations of potential outcomes, which can capture heterogeneity and deliver aggregated local information on treatment effects over different quantile levels and is closely related to the notion of second-order stochastic dominance and the Lorenz curve. These properties render it a valuable tool for policy evaluation. In this paper, we study estimation of the CTATE locally for a group of compliers (local CTATE or LCTATE) under the two-sided noncompliance framework. We consider a semiparametric treatment effect framework under endogeneity for the LCTATE estimation using a newly introduced class of consistent loss functions jointly for the conditional tail expectation and quantile. We establish the asymptotic theory of our proposed LCTATE estimator and provide an efficient algorithm for its implementation. We then apply the method to evaluate the effects of participating in programs under the Job Training Partnership Act in the US.

Citation extraction

48
references
146
in-text mentions
48
distinct cited
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12,736
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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
1Abadie, A (2003) Semiparametric instrumental variable estimation of treatment response models0.87462100%
2Fissler, T. and J. F. Ziegel (2016) Higher order elicitability and Osband’s principle0.84315460%
3Patton, A. J., J. F. Ziegel, and R. Chen (2019) Dynamic semiparametric models for expected shortfall (and Value-at-Risk)0.7547343%
4Abadie, A., J. Angrist, and G. Imbens (2002) Instrumental Variables Estimates of the Effect of Subsidized Training on the Quantiles of Trainee Earnings0.75133542%
5Chernozhukov, V., I. Fernández-Val, and B. Melly (2013) Inference on Counterfactual Distributions0.7374350%
6Imbens, G. W. and D. B. Rubin (2015) Causal Inference for Statistics, Social, and Biomedical Sciences: An Introduction0.73732100%
7Newey, W. K (1997) Convergence rates and asymptotic normality for series estimators0.6444250%
8Chernozhukov, V. and C. Hansen (2008) Instrumental variable quantile regression: A robust inference approach0.6443267%
9Angrist, J. D., G. W. Imbens, and D. B. Rubin (1996) Identification of Causal Effects Using Instrumental Variables0.64422100%
10Imbens, G. and J. Angrist (1994) Identification and Estimation of Local Average Treatment Effects0.64422100%

Showing the top 10 of 48 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
1Self-Normalized Inference in (Quantile, Expected Shortfall) Regressions for Time Series0.40511
2Rectified Linear Unit Regression0.40511