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Imposing Economic Constraints in Nonparametric Regression: Survey, Implementation and Extension

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Author Info
Henderson, Daniel J. () (Binghamton University, New York)
Parmeter, Christopher F. () (Virginia Tech)

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Abstract

Economic conditions such as convexity, homogeneity, homotheticity, and monotonicity are all important assumptions or consequences of assumptions of economic functionals to be estimated. Recent research has seen a renewed interest in imposing constraints in nonparametric regression. We survey the available methods in the literature, discuss the challenges that present themselves when empirically implementing these methods and extend an existing method to handle general nonlinear constraints. A heuristic discussion on the empirical implementation for methods that use sequential quadratic programming is provided for the reader and simulated and empirical evidence on the distinction between constrained and unconstrained nonparametric regression surfaces is covered.

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Publisher Info
Paper provided by Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 4103.

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Length: 2009 pages
Date of creation: Mar 2009
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Publication status: forthcoming in: Advances in Econometrics, 2009
Handle: RePEc:iza:izadps:dp4103

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Related research
Keywords: identification; concavity; Hessian; constraint weighted bootstrapping; earnings function;

Find related papers by JEL classification:
J20 - Labor and Demographic Economics - - Demand and Supply of Labor - - - General
J30 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - General
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Beresteanu, Arie, 2004. "Nonparametric Estimation of Regression Functions under Restrictions on Partieal Derivatives," Working Papers 04-06, Duke University, Department of Economics. [Downloadable!]
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  4. Gallant, A. Ronald & Golub, Gene H., 1984. "Imposing curvature restrictions on flexible functional forms," Journal of Econometrics, Elsevier, vol. 26(3), pages 295-321, December. [Downloadable!] (restricted)
  5. Matzkin, Rosa L., 1993. "Nonparametric identification and estimation of polychotomous choice models," Journal of Econometrics, Elsevier, vol. 58(1-2), pages 137-168, July. [Downloadable!] (restricted)
  6. Victor Chernozhukov & Ivan Fernandez-Val & Alfred Galichon, 2007. "Improving Estimates Of Monotone Functions By Rearrangement," Boston University - Department of Economics - Working Papers Series WP2007-012, Boston University - Department of Economics. [Downloadable!]
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  7. Racine, Jeff & Li, Qi, 2004. "Nonparametric estimation of regression functions with both categorical and continuous data," Journal of Econometrics, Elsevier, vol. 119(1), pages 99-130, March. [Downloadable!] (restricted)
  8. Wheelock, David C. & Wilson, Paul W., 2001. "New evidence on returns to scale and product mix among U.S. commercial banks," Journal of Monetary Economics, Elsevier, vol. 47(3), pages 653-674, June. [Downloadable!] (restricted)
    Other versions:
  9. Murphy, Kevin M & Welch, Finis, 1990. "Empirical Age-Earnings Profiles," Journal of Labor Economics, University of Chicago Press, vol. 8(2), pages 202-29, April. [Downloadable!] (restricted)
  10. Matzkin, Rosa L, 1991. "Semiparametric Estimation of Monotone and Concave Utility Functions for Polychotomous Choice Models," Econometrica, Econometric Society, vol. 59(5), pages 1315-27, September. [Downloadable!] (restricted)
  11. Henderson, Daniel J. & List, John A. & Millimet, Daniel L. & Parmeter, Christopher F. & Price, Michael K., 2008. "Imposing Monotonicity Nonparametrically in First-Price Auctions," MPRA Paper 8769, University Library of Munich, Germany. [Downloadable!]
  12. Li, Qi & Racine, Jeffrey S, 2008. "Nonparametric Estimation of Conditional CDF and Quantile Functions With Mixed Categorical and Continuous Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 423-434. [Downloadable!] (restricted)
  13. P. Hall & B. Presnell, 1999. "Intentionally biased bootstrap methods," Journal Of The Royal Statistical Society Series B, Royal Statistical Society, vol. 61(1), pages 143-158. [Downloadable!] (restricted)
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