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Local Polynomial Regression: Optimal Kernels and Asymptotic Minimax Efficiency

Author

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  • Jianqing Fan
  • Theo Gasser
  • Irène Gijbels
  • Michael Brockmann
  • Joachim Engel

Abstract

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Suggested Citation

  • Jianqing Fan & Theo Gasser & Irène Gijbels & Michael Brockmann & Joachim Engel, 1997. "Local Polynomial Regression: Optimal Kernels and Asymptotic Minimax Efficiency," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 49(1), pages 79-99, March.
    • Handle: RePEc:spr:aistmt:v:49:y:1997:i:1:p:79-99
    DOI: 10.1023/A:1003162622169
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    Cited by:

    1. Ing-Haw Cheng & Harrison Hong & Kelly Shue, 2013. "Do Managers Do Good with Other People's Money?," NBER Working Papers 19432, National Bureau of Economic Research, Inc.
    2. Timothy B. Armstrong & Michal Kolesár, 2020. "Simple and honest confidence intervals in nonparametric regression," Quantitative Economics, Econometric Society, vol. 11(1), pages 1-39, January.
    3. Frölich, Markus & Puhani, Patrick A., 2002. "Immigration and Heterogeneous Labor in Western Germany," IZA Discussion Papers 418, Institute of Labor Economics (IZA).
    4. J. Vilar-Fernández & J. Vilar-Fernández, 1998. "Recursive Estimation of Regression Functions by Local Polynomial Fitting," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 50(4), pages 729-754, December.
    5. Grith, Maria & Härdle, Wolfgang Karl & Kneip, Alois & Wagner, Heiko, 2016. "Functional principal component analysis for derivatives of multivariate curves," SFB 649 Discussion Papers 2016-033, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    6. Kivinen, Aapo, 2018. "The Effect of Relative School Starting Age on Having an Individualized Curriculum in Finland," Working Papers 104, VATT Institute for Economic Research.
    7. Wenzhuan Zhang & Yingcun Xia, 2012. "Twicing local linear kernel regression smoothers," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 24(2), pages 399-417.
    8. Lin, Lu & Song, Yunquan & Liu, Zhao, 2014. "Local linear–additive estimation for multiple nonparametric regressions," Journal of Multivariate Analysis, Elsevier, vol. 123(C), pages 252-269.
    9. Puhani, Patrick A. & Frölich, Markus, 2002. "Immigration and Heterogeneous Labor in Western Germany: A Labor Market Classification Based on Nonparametric Estimation," ZEW Discussion Papers 02-01, ZEW - Leibniz Centre for European Economic Research.
    10. Ing-Haw Cheng & Harrison Hong & Kelly Shue, 2023. "Do Managers Do Good with Other People’s Money?," The Review of Corporate Finance Studies, Society for Financial Studies, vol. 12(3), pages 443-487.
    11. Gao, Wayne Yuan, 2018. "Minimax linear estimation at a boundary point," Journal of Multivariate Analysis, Elsevier, vol. 165(C), pages 262-269.
    12. Qifa Xu & Zezhou Wang & Cuixia Jiang & Yezheng Liu, 2023. "Deep learning on mixed frequency data," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 42(8), pages 2099-2120, December.
    13. Paul W. Wilson & Kathleen Carey, 2004. "Nonparametric analysis of returns to scale in the US hospital industry," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(4), pages 505-524.
    14. Dorn, Sabrina & Egger, Peter, 2015. "On the distribution of exchange rate regime treatment effects on international trade," Journal of International Money and Finance, Elsevier, vol. 53(C), pages 75-94.
    15. David C. Wheelock & Paul W. Wilson, 2009. "Are U.S. banks too large?," Working Papers 2009-054, Federal Reserve Bank of St. Louis.
    16. Jose C. Galdo & Jeffrey Smith & Dan Black, 2008. "Bandwidth Selection and the Estimation of Treatment Effects with Unbalanced Data," Annals of Economics and Statistics, GENES, issue 91-92, pages 189-216.
    17. Tomas, Julien & Planchet, Frédéric, 2013. "Multidimensional smoothing by adaptive local kernel-weighted log-likelihood: Application to long-term care insurance," Insurance: Mathematics and Economics, Elsevier, vol. 52(3), pages 573-589.
    18. Lisi, Francesco & Nan, Fany, 2014. "Component estimation for electricity prices: Procedures and comparisons," Energy Economics, Elsevier, vol. 44(C), pages 143-159.
    19. David C. Wheelock & Paul W. Wilson, 2018. "The evolution of scale economies in US banking," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(1), pages 16-28, January.
    20. repec:hum:wpaper:sfb649dp2016-033 is not listed on IDEAS
    21. Xie, Qichang & Tang, Guoqiang, 2022. "Do market conditions interfere with the transmission of uncertainty from oil market to stock market? Evidence from a modified quantile-on-quantile approach," Energy Economics, Elsevier, vol. 114(C).
    22. Lee, Ji Hyung & Park, Byoung G., 2023. "Nonparametric identification and estimation of the extended Roy model," Journal of Econometrics, Elsevier, vol. 235(2), pages 1087-1113.
    23. Juhyun Park & Burkhardt Seifert, 2010. "Local additive estimation," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(2), pages 171-191, March.
    24. Tian, Xu & Yu, Xiaohua, 2015. "Using semiparametric models to study nutrition improvement and dietary change with different indices: The case of China," Food Policy, Elsevier, vol. 53(C), pages 67-81.

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