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The Smooth Colonel and the Reverend Find Common Ground


  • Nicholas M. Kiefer
  • Jeffrey S. Racine


A class of kernel regression estimators is developed for a broad class of hierarchical models including the pooled regression estimator, the fixed-effect model familiar from panel data, etc. Separate shrinking is allowed for each coefficient. Regressors may be continuous or discrete. The estimator is motivated as an intuitive and appealing generalization of existing methods. It is then supported by demonstrating that it can be realized as a posterior mean in the Lindley & Smith (1972) framework. The model is extended to nonparametric hierarchical regression based on B-splines.

Suggested Citation

  • Nicholas M. Kiefer & Jeffrey S. Racine, 2013. "The Smooth Colonel and the Reverend Find Common Ground," Department of Economics Working Papers 2013-03, McMaster University.
  • Handle: RePEc:mcm:deptwp:2013-03

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    References listed on IDEAS

    1. QI Li & Desheng Ouyang & Jeffrey S. Racine, 2013. "Categorical semiparametric varying‐coefficient models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 28(4), pages 551-579, June.
    2. Nicholas Kiefer & Jeffrey Racine, 2009. "The smooth Colonel meets the Reverend," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 21(5), pages 521-533.
    3. Shujie Ma & Jeffrey S. Racine & Lijian Yang, 2015. "Spline Regression in the Presence of Categorical Predictors," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 30(5), pages 705-717, August.
    4. Hayfield, Tristen & Racine, Jeffrey S., 2008. "Nonparametric Econometrics: The np Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 27(i05).
    5. Shujie Ma & Jeffrey S. Racine, 2012. "Additive Regression Splines With Irrelevant Categorical and Continuous Regressors," Department of Economics Working Papers 2012-07, McMaster University.
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    Cited by:

    1. Jean Pierre Huiban & Camilla Mastromarco & Antonio Musolesi & Michel Simioni, 2018. "The impact of pollution abatement investments on production technology: a nonparametric approach," SEEDS Working Papers 0918, SEEDS, Sustainability Environmental Economics and Dynamics Studies, revised Sep 2018.
    2. Simioni, Michel & Thomas-Agnan, Christine & Trinh, Thi-Huong, 2017. "A Fresh Look at the Nutrition Transition in Vietnam using Semiparametric Modeling," TSE Working Papers 17-842, Toulouse School of Economics (TSE).

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