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Nonparametric regression with weakly dependent data: the discrete and continuous regressor case

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  • Cong Li
  • Desheng Ouyang
  • Jeffrey Racine

Abstract

Data-driven methods of bandwidth selection are necessary for the sound application of kernel methods, with benefits including but not limited to automatic dimensionality reduction in the presence of irrelevant regressors [P. Hall, Q. Li, and J.S. Racine, ‘Nonparametric estimation of regression functions in the presence of irrelevant regressors, Rev. Econ. Statist. 89 (2007), pp. 784–789] and the ability to handle the mix of discrete and continuous data often encountered in applied settings without resorting to sample splitting [J.S. Racine and Q. Li, Nonparametric estimation of regression functions with both categorical and continuous data, J. Econometrics 119(1) (2004), pp. 99–130]. Many existing results have been developed under the presumption of independence, which may not hold when one deals with time-series data. This paper develops the properties of data-driven kernel regression for weakly dependent mixed discrete and continuous data. Monte Carlo simulations are undertaken to examine the finite-sample properties of the estimator, and an illustrative application is presented.

Suggested Citation

  • Cong Li & Desheng Ouyang & Jeffrey Racine, 2009. "Nonparametric regression with weakly dependent data: the discrete and continuous regressor case," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 21(6), pages 697-711.
    • Handle: RePEc:taf:gnstxx:v:21:y:2009:i:6:p:697-711
    DOI: 10.1080/10485250902928435
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    Cited by:

    1. Persson, Emma & Häggström, Jenny & Waernbaum, Ingeborg & de Luna, Xavier, 2017. "Data-driven algorithms for dimension reduction in causal inference," Computational Statistics & Data Analysis, Elsevier, vol. 105(C), pages 280-292.
    2. Battisti, Michele & Gatto, Massimo Del & Parmeter, Christopher F., 2022. "Skill-biased technical change and labor market inefficiency," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).
    3. Michele Battisti & Massimo Del Gatto & Christopher F. Parmeter, 2018. "Labor productivity growth: disentangling technology and capital accumulation," Journal of Economic Growth, Springer, vol. 23(1), pages 111-143, March.
    4. repec:wyi:journl:002112 is not listed on IDEAS
    5. Xibin Zhang & Maxwell L. King & Han Lin Shang, 2016. "Bayesian Bandwidth Selection for a Nonparametric Regression Model with Mixed Types of Regressors," Econometrics, MDPI, vol. 4(2), pages 1-27, April.
    6. Zheng Li & Roderick M. Rejesus & Xiaoyong Zheng, 2021. "Nonparametric Estimation and Inference of Production Risk," American Journal of Agricultural Economics, John Wiley & Sons, vol. 103(5), pages 1857-1877, October.
    7. Zongwu Cai & Qi Li, 2013. "Some Recent Develop- ments on Nonparametric Econometrics," Working Papers 2013-10-14, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    8. Wang, Banban & Wei, Jie & Tan, Xiujie & Su, Bin, 2021. "The sectorally heterogeneous and time-varying price elasticities of energy demand in China," Energy Economics, Elsevier, vol. 102(C).
    9. Qi Gao & Long Liu & Jeffrey S. Racine, 2015. "A Partially Linear Kernel Estimator for Categorical Data," Econometric Reviews, Taylor & Francis Journals, vol. 34(6-10), pages 959-978, December.

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