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The Smooth Colonel and the Reverend Find Common Ground

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  • Nicholas M. Kiefer
  • Jeffrey S. Racine

Abstract

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.

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File URL: http://socserv.mcmaster.ca/econ/rsrch/papers/archive/2013-03.pdf
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Bibliographic Info

Paper provided by McMaster University in its series Department of Economics Working Papers with number 2013-03.

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Length: 20 pages
Date of creation: Jan 2013
Date of revision:
Handle: RePEc:mcm:deptwp:2013-03

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  1. Shujie Ma & Jeffrey S. Racine & Lijian Yang, 2012. "Spline Regression in the Presence of Categorical Predictors," Department of Economics Working Papers 2012-06, McMaster University.
  2. Kiefer, Nicholas M. & Racine, Jeffrey S., 2008. "The Smooth Colonel Meets the Reverend," Working Papers 08-01, Cornell University, Center for Analytic Economics.
  3. Tristen Hayfield & Jeffrey S. Racine, . "Nonparametric Econometrics: The np Package," Journal of Statistical Software, American Statistical Association, vol. 27(i05).
  4. Shujie Ma & Jeffrey S. Racine, 2012. "Additive Regression Splines With Irrelevant Categorical and Continuous Regressors," Department of Economics Working Papers 2012-07, McMaster University.
  5. 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, 06.
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