Tests of Additive Derivative Constraints
AbstractThis paper proposes nonparametric tests of additive constraints on the first and second derivatives of a model E(y/x) = g(x), where the true function g is unknown. Such constraints are illustrated by the economic restrictions of homogeneity and symmetry, and the functional form restrictions of additivity and linearity. The proposed tests are based on estimates of regression coefficients that statistically characterize the departures from the constraint exhibited by the data. The coefficients are based on weighted-average derivatives that are reformulated in terms of derivatives of the density of x. Coefficient estimators are proposed that use nonparametric kernel estimators of the density and its derivatives. These statistics are shown to be consistent and asymptotically normal, and, thus, are comparable to estimators based on a (correctly specified) parametric model of g(x). Copyright 1989 by The Review of Economic Studies Limited.
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Bibliographic InfoArticle provided by Wiley Blackwell in its journal Review of Economic Studies.
Volume (Year): 56 (1989)
Issue (Month): 4 (October)
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Web page: http://www.blackwellpublishing.com/journal.asp?ref=0034-6527
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- White, Halbert & Hong, Yongmiao, 1999. "M-Testing Using Finite and Infinite Dimensional Parameter Estimators," University of California at San Diego, Economics Working Paper Series qt9qz123ng, Department of Economics, UC San Diego.
- Stefan Hoderlein, 2009.
"How Many Consumers are Rational?,"
Boston College Working Papers in Economics
748, Boston College Department of Economics.
- Prakasa Rao, B. L. S., 1995. "Consistent estimation of density-weighted average derivative by orthogonal series method," Statistics & Probability Letters, Elsevier, vol. 22(3), pages 205-212, February.
- Holger Dette & Stefan Hoderlein & Natalie Neumeyer, 2011.
"Testing multivariate economic restrictions using quantiles: the example of Slutsky negative semidefiniteness,"
CeMMAP working papers
CWP14/11, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Holger Dette & Stefan Hoderlein & Natalie Neumeyer, 2013. "Testing Multivariate Economic Restrictions Using Quantiles: The Example of Slutsky Negative Semidefiniteness," Boston College Working Papers in Economics 836, Boston College Department of Economics.
- Bas Donkers & Marcia M Schafgans, 2005.
"A method of moments estimator for semiparametric index models,"
STICERD - Econometrics Paper Series
/2005/493, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- Bas Donkers & Marcia M. A. Schafgans, 2005. "A method of moments estimator for semiparametric index models," LSE Research Online Documents on Economics 6815, London School of Economics and Political Science, LSE Library.
- Escanciano, Juan Carlos & Song, Kyungchul, 2010. "Testing single-index restrictions with a focus on average derivatives," Journal of Econometrics, Elsevier, vol. 156(2), pages 377-391, June.
- Lewbel, Arthur, 1995. "Consistent nonparametric hypothesis tests with an application to Slutsky symmetry," Journal of Econometrics, Elsevier, vol. 67(2), pages 379-401, June.
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