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Confidence set for group membership

Andreas Dzemski, Ryo Okui

arXiv 31 Dec 2017 · Econometrics · publishedQuantitative Economics (2024) · 8 citations (OpenAlex)

arXiv:1801.00332 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Our confidence set quantifies the statistical uncertainty from data-driven group assignments in grouped panel models. It covers the true group memberships jointly for all units with pre-specified probability and is constructed by inverting many simultaneous unit-specific one-sided tests for group membership. We justify our approach under $N, T \to \infty$ asymptotics using tools from high-dimensional statistics, some of which we extend in this paper. We provide Monte Carlo evidence that the confidence set has adequate coverage in finite samples.An empirical application illustrates the use of our confidence set.

Citation extraction

42
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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
1Bonhomme, Stéphane, Manresa, Elena (2015) Grouped patterns of heterogeneity in panel data1.000105100%
2Su, Liangjun, Shi, Zhentao, Phillips, Peter (2016) Identifying latent structures in panel data1.00085100%
3Wang, Wuyi, Phillips, Peter C. B., Su, Liangjun (2018) Homogeneity pursuit in panel data models: theory and applications1.00064100%
4Dzemski, Andreas, Okui, Ryo (2021) Convergence rate of estimators of clustered panel models with misclassification self1.00053100%
5Andrews, Donald W. K (1991) Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation0.92843100%
6Wang, Wuyi, Phillips, Peter C. B., Su, Liangjun (2019) The heterogeneous effects of the minimum wage on employment across states0.87482100%
7Lu, Xun, Su, Liangjun (2017) Determining the number of groups in latent panel structures with an application to income and democracy0.84333100%
8Chernozhukov, Victor, Chetverikov, Denis, Kato, Kengo (2019) Inference on causal and structural parameters using many moment inequalities0.81142100%
9Vogt, Michael, Linton, Oliver (2017) Classification of nonparametric regression functions in heterogeneous panels0.73732100%
10Newey, Whitney K., West, Kenneth D (1987) A Simple Positive Semi-Definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix0.64422100%

Showing the top 10 of 42 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
1Inference methods for unit-specific coefficients in panel data models with latent group structure0.909208
2A Simple and Computationally Trivial Estimator for Grouped Fixed Effects Models0.51121
3Estimation of Latent Group Structures in Time-Varying Panel Data Models0.51122
4Blocked Clusterwise Regression0.40511
5Detecting Latent Communities in Network Formation Models0.40511
6Detection Boundaries for Panel Slope Homogeneity Tests Under Small-Group Heterogeneity0.40511
7Bias-Reduced Estimation of Finite Mixtures : An Application to Latent Group Structures in Panel Data0.40511