Imposing Economic Constraints in Nonparametric Regression: Survey, Implementation and Extension
AbstractEconomic 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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Bibliographic InfoPaper provided by Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 4103.
Length: 32 pages
Date of creation: Mar 2009
Date of revision:
Publication status: published in: Advances in Econometrics, 2009, 25, 433-469
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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 and Methodology: General - - - Semiparametric and Nonparametric Methods: General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-04-13 (All new papers)
- NEP-ECM-2009-04-13 (Econometrics)
- NEP-ORE-2009-04-13 (Operations Research)
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- Victor Chernozhukov & Ivan Fernandez-Val & Alfred Galichon, 2007.
"Improving estimates of monotone functions by rearrangement,"
CeMMAP working papers
CWP09/07, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- 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.
- Matzkin, Rosa L., 1986. "Restrictions of economic theory in nonparametric methods," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 42, pages 2523-2558 Elsevier.
- 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.
- Gallant, A. Ronald, 1982. "Unbiased determination of production technologies," Journal of Econometrics, Elsevier, vol. 20(2), pages 285-323, November.
- Qi Li & Jeffrey Scott Racine, 2006. "Nonparametric Econometrics: Theory and Practice," Economics Books, Princeton University Press, edition 1, volume 1, number 8355.
- 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.
- 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.
- Beresteanu, Arie, 2004. "Nonparametric Estimation of Regression Functions under Restrictions on Partieal Derivatives," Working Papers 04-06, Duke University, Department of Economics.
- Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
- 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.
- 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.
- A. Ronald Gallant & Gene H. Golub, 1982. "Imposing Curvature Restrictions on Flexible Functional Forms," Discussion Papers 538, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- 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.
- David C. Wheelock & Paul W. Wilson, 1997.
"New evidence on returns to scale and product mix among U.S. commercial banks,"
1997-003, Federal Reserve Bank of St. Louis.
- 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.
- Matzkin, Rosa L., 1993. "Nonparametric identification and estimation of polychotomous choice models," Journal of Econometrics, Elsevier, vol. 58(1-2), pages 137-168, July.
- Rosa L. Matzkin, 1988. "Nonparametric and Distribution-Free Estimation of the Binary Choice and the Threshold-Crossing Models," Cowles Foundation Discussion Papers 889, Cowles Foundation for Research in Economics, Yale University.
- S. M. Goldman & P. A. Ruud, 1993.
"Nonparametric Multivariate Regression Subject to Constraint,"
- Goldman, Steven M., 1993. "Nonparametric Multivariate Regression Subject to Constraint," Department of Economics, Working Paper Series qt7r623607, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- 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.
- Qi Li & Jeffrey S. Racine & Jeffrey M. Wooldridge, 2008. "Estimating Average Treatment Effects with Continuous and Discrete Covariates: The Case of Swan-Ganz Catheterization," American Economic Review, American Economic Association, vol. 98(2), pages 357-62, May.
- Don Harding, 2010.
"Applying shape and phase restrictions in generalized dynamic categorical models of the business cycle,"
2010.05, School of Economics, La Trobe University.
- Don Harding, 2010. "Applying shape and phase restrictions in generalized dynamic categorical models of the business cycle," Working Papers 2010.05, School of Economics, La Trobe University.
- Don Harding, 2010. "Applying Shape and Phase Restrictions in Generalized Dynamic Categorical Models of the Business Cycle," CAMA Working Papers 2010-25, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
- Don Harding, 2010. "Applying shape and phase restrictions in generalized dynamic categorical models of the business cycle," NCER Working Paper Series 58, National Centre for Econometric Research.
- Daniel J. Henderson & John A. List & Daniel L. Millimet & Christopher F. Parmeter & Michael K. Price, 2011.
"Empirical Implementation of Nonparametric First-Price Auction Models,"
NBER Working Papers
17095, National Bureau of Economic Research, Inc.
- Henderson, Daniel J. & List, John A. & Millimet, Daniel L. & Parmeter, Christopher F. & Price, Michael K., 2012. "Empirical implementation of nonparametric first-price auction models," Journal of Econometrics, Elsevier, vol. 168(1), pages 17-28.
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