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Inference in high-dimensional regression models without the exact or $L^p$ sparsity

Jooyoung Cha, Harold D. Chiang, Yuya Sasaki

arXiv 21 Aug 2021 · Econometrics · publishedThe Review of Economics and Statistics (2023) · 1 citations (OpenAlex)

arXiv:2108.09520 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper proposes a new method of inference in high-dimensional regression models and high-dimensional IV regression models. Estimation is based on a combined use of the orthogonal greedy algorithm, high-dimensional Akaike information criterion, and double/debiased machine learning. The method of inference for any low-dimensional subvector of high-dimensional parameters is based on a root-$N$ asymptotic normality, which is shown to hold without requiring the exact sparsity condition or the $L^p$ sparsity condition. Simulation studies demonstrate superior finite-sample performance of this proposed method over those based on the LASSO or the random forest, especially under less sparse models. We illustrate an application to production analysis with a panel of Chilean firms.

Citation extraction

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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
1Belloni, A., V. Chernozhukov, and C. Hansen (2013) Inference on Treatment Effects after Selection among High-Dimensional Controls†0.9568488%
2Levinsohn, J. and A. Petrin (2003) Estimating production functions using inputs to control for unobservables0.874112100%
3Olley, G. S. and A. Pakes (1996) The Dynamics of Productivity in the Telecommunications Equipment Industry0.64441100%
4Robinson, P (1988) Root- N-Consistent Semiparametric Regression0.64422100%
5Belloni, A., D. Chen, V. Chernozhukov, and C. Hansen (2012) Sparse models and methods for optimal instruments with an application to eminent domain0.64422100%
6Ing, C.-K (2020) Model selection for high-dimensional linear regression with dependent observations0.63036825%
7Chernozhukov, V., D. Chetverikov, M. Demirer, E. Duflo, C. Hansen, W… (2018) Double/debiased machine learning for treatment and structural parameters0.58520620%
8Ackerberg, D. A., K. Caves, and G. Frazer (2015) Identification properties of recent production function estimators0.51121100%
9Petrin, A., B. P. Poi, and J. Levinsohn (2004) Production function estimation in Stata using inputs to control for unobservables0.51121100%
10Temlyakov, V. N (2000) Weak greedy algorithms0.51121100%

Showing the top 10 of 45 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
1Local Projections Inference with High-dimensional Covariates without Sparsity0.40511
2Treatment Effects Inference with High-Dimensional Instruments and Control Variables0.40511