arXiv 21 Dec 2022 · Econometrics · 1 citations (OpenAlex)
arXiv:2212.11112 · PDF · DOI · OpenAlex · Extracted main text
This paper provides a specification test for semiparametric models with nonparametrically generated regressors. Such variables are not observed by the researcher but are nonparametrically identified and estimable. Applications of the test include models with endogenous regressors identified by control functions, semiparametric sample selection models, or binary games with incomplete information. The statistic is built from the residuals of the semiparametric model. A novel wild bootstrap procedure is shown to provide valid critical values. We consider nonparametric estimators with an automatic bias correction that makes the test implementable without undersmoothing. In simulations the test exhibits good small sample performances, and an application to women's labor force participation decisions shows its implementation in a real data context.
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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 | Escanciano, J. C., D. T. Jacho-Chávez, and A. Lewbel (2014) Uniform Convergence of Weighted Sums of Non and Semiparametric Residuals for Estimation and Testing | 1.000 | 9 | 3 | 100% |
| 2 | Escanciano, J. C., D. Jacho-Chávez, and A. Lewbel (2016) Identification and estimation of semiparametric two-step models | 1.000 | 6 | 4 | 100% |
| 3 | Xia, Y., W. K. Li, H. Tong, and D. Zhang (2004) A Goodness-of-Fit Test for Single-Index Models | 0.874 | 15 | 2 | 100% |
| 4 | Delgado, M. A. and W. G. Manteiga (2001) Significance Testing in Nonparametric Regression Based on the Bootstrap | 0.874 | 10 | 2 | 100% |
| 5 | Di Marzio, M. and C. C. Taylor (2008) On Boosting Kernel Regression | 0.874 | 5 | 2 | 100% |
| 6 | Rivers, D. and Q. H. Vuong (1988) Limited information estimators and exogeneity tests for simultaneous probit models | 0.874 | 5 | 2 | 100% |
| 7 | Blundell, R. W. and J. L. Powell (2004) Endogeneity in Semiparametric Binary Response Models | 0.843 | 3 | 3 | 100% |
| 8 | Rothe, C (2009) Semiparametric estimation of binary response models with endogenous regressors | 0.843 | 3 | 3 | 100% |
| 9 | Bierens, H. J (1982) Consistent Model Specification Tests | 0.811 | 4 | 2 | 100% |
| 10 | Chernozhukov, V., J. C. Escanciano, H. Ichimura, W. K. Newey, and J.… (2022) Locally Robust Semiparametric Estimation | 0.811 | 4 | 2 | 100% |
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