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This paper studies higher-order inference properties of nonparametric local polynomial regression methods under random sampling.
[author] Edgeworth, Francis YsidroF. Y. (1906). The generalised law of error, or law of great numbers. Journal of the Royal Statistical Society 69 497–539
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[author] Bhattacharya, R. N.R. N. (1977). Refinements of the Multidimensional Central Limit Theorem and Applications. Annals of Probability 5 1–27
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[author] Skovgaard, Ib M.I. M. (1981). Transformation of an Edgeworth Expansion by a Sequence of Smooth Functions. Scandinavian Journal of Statistics 8 207-217
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[author] Beran, RudolfR. (1982). Estimated Sampling Distributions: The Bootstrap and Competitors. Annals of Statistics 10 212–225
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[author] Skovgaard, Ib M.I. M. (1986). On Multivariate Edgeworth Expansions. International Statistical Review 54 169-186
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[author] Muller, Hans-GeorgH.-G. and Stadtmuller, UlrichU. (1987). Estimation of Heteroscedasticity in Regression Analysis. Annals of Statistics 15 610-625
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[author] Hall, PeterP. (1991). Edgeworth Expansions for Nonparametric Density Estimators, with Applications. Statistics 22 215–232
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[author] Hall, PeterP. (1992). The Bootstrap and Edgeworth Expansion. Springer-Verlag, New York
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[author] Hall, PeterP. (1992). Effect of Bias Estimation on Coverage Accuracy of Bootstrap Confidence Intervals for a Probability Density. Annals of Statistics 20 675–694
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[author] Hall, PeterP. (1992). On Bootstrap Confidence Intervals in Nonparametric Regression. Annals of Statistics 20 695–711
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[author] Hall, PeterP. and Jing, Bing-YiB.-Y. (1995). Uniform Coverage Error Bounds for Confidence Intervals and Berry-Esseen Theorems for Edgeworth Expansion. Annals of Statistics 23 363–375
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[author] Fan, JianqingJ. and Gijbels, IréneI. (1996). Local Polynomial Modelling and its Applications. Chapman and Hall, London
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[author] Cheng, Ming-YenM.-Y., Fan, JianqingJ. and Marron, J. S.J. S. (1997). On Automatic Boundary Corrections. Annals of Statistics 25 1691–1708
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[author] Fan, JianqingJ., Gasser, TheoT., Gijbels, IreneI., Brockmann, MichaelM. and Engel, JoachimJ. (1997). Local Polynomial Regression: Optimal Kernels and Asymptotic Minimax Efficiency. Annals of the Institute of Statistical Mathematics 49 79-99
[author] Fan, JianqingJ. and Yao, QiweiQ. (2005). Nonlinear Time Series: Nonparametric and Parametric Methods. Springer, New York
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[author] MacKinnon, James G.J. G. (2013). Recent Advances and Future Directions in Causality, Prediction, and Specification Analysis Thirty Years of Heteroskedasticity-Robust Inference, 437–461. Springer
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[author] Calonico, SebastianS., Cattaneo, Matias D.M. D. and Titiunik, RocioR. (2014). Robust Nonparametric Confidence Intervals for Regression-Discontinuity Designs. Econometrica 82 2295–2326
2014
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[author] Calonico, SebastianS., Cattaneo, Matias D.M. D. and Farrell, Max H.M. H. (2018). On the Effect of Bias Estimation on Coverage Accuracy in Nonparametric Inference. Journal of the American Statistical Association 113 767–779
2018
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1997
Cited alongside, same era.
[author] Maesono, YoshihikoY. (1997). Edgeworth expansions of a studentized U-Statistic and a jackknife estimator of variance. Journal of Statistical Planning and Inference 61 61-84
1997
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[author] Neumann, Michael H.M. H. (1997). Pointwise confidence intervals in nonparametric regression with heteroscedastic error structure. Statistics 29 1-36
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[author] Chen, Song XiS. X. and Qin, Yong SongY. S. (2000). Empirical likelihood confidence intervals for local linear smoothers. Biometrika 87 946–953
2000
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[author] Hall, PeterP. and Kang, Kee-HoonK.-H. (2001). Bootstrapping Nonparametric Density Estimators with Empirically Chosen Bandwidths. Annals of Statistics 29 1443-1468
2001
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[author] Chen, Song XiS. X. and Qin, Yong SongY. S. (2002). Confidence Intervals Based on Local Linear Smoother. Scandinavian Journal of Statistics 29 89-99
2002
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[author] Romano, Joseph P.J. P. (2004). On non-parametric testing, the uniform behaviour of the t t -test, and related problems. Scandinavian Journal of Statistics 31 567–584
2004
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[author] Edgeworth, Francis YsidroF. Y. (1883). The law of error. The London, Edinburgh and Dublin Philosophical Magazine 5 300–309
Cited in the paper.
[author] Calonico, SebastianS., Cattaneo, Matias D.M. D. and Farrell, Max H.M. H. (2018). Supplement to ‘On the Effect of Bias Estimation on Coverage Accuracy in Nonparametric Inference’. Journal of the American Statistical Association 113 767–779
2018
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[author] Calonico, SebastianS., Cattaneo, Matias D.M. D. and Farrell, Max H.M. H. (2019). nprobust
2019
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[author] Cheng, GangG. and Chen, Yen-ChiY.-C. (2019). Nonparametric Inference via Bootstrapping the Debiased Estimator. Electronic Journal of Statistics 13 2194–2256
2019
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[author] Calonico, SebastianS., Cattaneo, Matias D.M. D. and Farrell, Max H.M. H. (2020). Optimal Bandwidth Choice for Robust Bias Corrected Inference in Regression Discontinuity Designs. Econometrics Journal 23 192-210
2020
Closest in time.
[author] Cattaneo, Matias D.M. D., Farrell, Max H.M. H. and Feng, YingjieY. (2020). Large Sample Properties of Partitioning-based Series Estimators. Annals of Statistics 48 1718–1741
2020
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