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Debiased Inference of Average Partial Effects in Single-Index Models: Comment on Wooldridge and Zhu

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REFERENCES

  • Armstrong, T. B., and Kolesár, M. (2018), “Optimal Inference in a Class of Regression Models,” Econometrica, 86, 655–683. DOI: 10.3982/ECTA14434.
  • Athey, S., Imbens, G. W., and Wager, S. (2018), “Approximate Residual Balancing: Debiased Inference of Average Treatment Effects in High Dimensions,” Journal of the Royal Statistical Society, Series B, 80, 597–623. DOI: 10.1111/rssb.12268.
  • Bartlett, P. L., and Mendelson, S. (2002), “Rademacher and Gaussian Complexities: Risk Bounds and Structural Results,” Journal of Machine Learning Research, 3, 463–482.
  • Belloni, A., Chernozhukov, V., and Hansen, C. (2014), “Inference on Treatment Effects After Selection Among High-Dimensional Controls,” The Review of Economic Studies, 81, 608–650. DOI: 10.1093/restud/rdt044.
  • Belloni, A., Chernozhukov, V., Fernández-Val, I., and Hansen, C. (2017), “Program Evaluation and Causal Inference With High-Dimensional Data,” Econometrica, 85, 233–298. DOI: 10.3982/ECTA12723.
  • Chernozhukov, V., Carlos J., Escanciano, H. I., and Whitney, K. N. (2016), “Locally Robust Semiparametric Estimation,” arXiv no. 1608.00033.
  • Chernozhukov, V., Chetverikov, D., Demirer, M., Duflo, E., Hansen, C., Newey, W., and Robins, J. (2018), “Double/debiased Machine Learning for Treatment and Structural Parameters,” The Econometrics Journal, 21, C1–C68. DOI: 10.1111/ectj.12097.
  • Chernozhukov, V., Newey, W., and Robins, J. (2018), “Double/De-Biased Machine Learning Using Regularized Riesz Representers,” arXiv no. 1802.08667.
  • Donoho, D. L. (1994), “Statistical Estimation and Optimal Recovery,” The Annals of Statistics, 22, 238–270. DOI: 10.1214/aos/1176325367.
  • Farrell, M. H. (2015), “Robust Inference on Average Treatment Effects With Possibly More Covariates Than Observations,” Journal of Econometrics, 189, 1–23. DOI: 10.1016/j.jeconom.2015.06.017.
  • Friedman, J., Hastie, T., and Tibshirani, R. (2010), “Regularization Paths for Generalized Linear Models Via Coordinate Descent,” Journal of Statistical Software, 33, 1–22. DOI: 10.18637/jss.v033.i01.
  • Fu, A., Narasimhan, B., Diamond, S., and Miller, J. (2017), “CVXR: Disciplined Convex Optimization,” available at https://CRAN.R-project.org/package=CVXR. R package version 0.94-4.
  • Hastie, T., Tibshirani, R., and Wainwright, M. (2015), Statistical Learning With Sparsity: The Lasso and Generalizations, Boca Raton, FL: CRC Press.
  • Hirshberg, D. A., and Wager, S. (2018), “Augmented Minimax Linear Estimation,” arXiv no. 1712.00038.
  • Javanmard, A., and Montanari, A. (2014), “Confidence Intervals and Hypothesis Testing for High-Dimensional Regression,” The Journal of Machine Learning Research, 15, 2869–2909.
  • Massart, P. (2000), “Some Applications of Concentration Inequalities to Statistics,” in Annales-Faculte des Sciences Toulouse Mathematiques, Vol. 9, Toulouse: Université Paul Sabatier, pp. 245–303. DOI: 10.5802/afst.961.
  • Powell, J. L., Stock, J. H., and Stoker, T. M. (1989), “Semiparametric Estimation of Index Coefficients,” Econometrica, 57, 1403–1430. DOI: 10.2307/1913713.
  • Robins, J., and Rotnitzky, A. (1995), “Semiparametric Efficiency in Multivariate Regression Models With Missing Data,” Journal of the American Statistical Association, 90, 122–129. DOI: 10.1080/01621459.1995.10476494.
  • van de Geer, S., Bühlmann, P., Ritov, Y., and Dezeure, R. (2014), “On Asymptotically Optimal Confidence Regions and Tests for High-dimensional Models,” The Annals of Statistics, 42, 1166–1202. DOI: 10.1214/14-AOS1221.
  • Wooldridge, J. M. (2010), “Econometric Analysis of Cross Section and Panel Data, Cambridge, MA: MIT Press.
  • Zhang, C.-H., and Zhang, S. S. (2014), “Confidence Intervals for Low Dimensional Parameters in High Dimensional Linear Models,” Journal of the Royal Statistical Society, Series B, 76, 217–242. DOI: 10.1111/rssb.12026.

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