arXiv 7 Feb 2025 · Econometrics
arXiv:2502.05353 · PDF · DOI · OpenAlex · Extracted main text
Sample selection is pervasive in applied economic studies. This paper develops semiparametric selection models that achieve point identification without relying on exclusion restrictions, an assumption long believed necessary for identification in semiparametric selection models. Our identification conditions require at least one continuously distributed covariate and certain nonlinearity in the selection process. We propose a two-step plug-in estimator that is root-n-consistent, asymptotically normal, and computationally straightforward (readily available in statistical software), allowing for heteroskedasticity. Our approach provides a middle ground between Lee (2009)'s nonparametric bounds and Honor\'e and Hu (2020)'s linear selection bounds, while ensuring point identification. Simulation evidence confirms its excellent finite-sample performance. We apply our method to estimate the racial and gender wage disparity using data from the US Current Population Survey. Our estimates tend to lie outside the Honor\'e and Hu bounds.
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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.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Honoré, Bo E and Luojia Hu (2020) Selection without exclusion | 1.000 | 6 | 4 | 100% |
| 2 | Lee, David S (2009) Training, Wages, and Sample Selection: Estimating Sharp Bounds on Treatment Effects | 1.000 | 5 | 3 | 100% |
| 3 | Honoré, Bo E and Luojia Hu (2024) Sample selection models without exclusion restrictions: Parameter heterogeneity and partial identification | 0.737 | 3 | 2 | 100% |
| 4 | Chen, Xiaohong (2007) Chapter 76 Large Sample Sieve Estimation of Semi-Nonparametric Models, Elsevier, vol. 6 of | 0.585 | 3 | 1 | 100% |
| 5 | Song, Kyungchul (2014) Semiparametric models with single-index nuisance parameters | 0.585 | 3 | 1 | 100% |
| 6 | Song, Kyungchul (2012) On the smoothness of conditional expectation functionals | 0.511 | 4 | 2 | 25% |
| 7 | Ahn, Hyungtaik and James L Powell (1993) Semiparametric estimation of censored selection models with a nonparametric selection mechanism | 0.511 | 2 | 1 | 100% |
| 8 | Escanciano, Juan Carlos, David Jacho-Chávez, and Arthur Lewbel (2016) Identification and estimation of semiparametric two-step models | 0.511 | 2 | 1 | 100% |
| 9 | Andrews, Donald WK (1994) Empirical process methods in econometrics | 0.405 | 1 | 1 | 100% |
| 10 | Andrews, Donald WK and Marcia MA Schafgans (1998) Semiparametric estimation of the intercept of a sample selection model | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 27 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | Identification and Estimation of Semiparametric Multilayered Sample Selection Models | 0.855 | 8 | 4 |