Imposing economic constraints in nonparametric regression: survey, implementation, and extension
Nonparametric Econometric Methods
ISBN: 978-1-84950-623-6, eISBN: 978-1-84950-624-3
Publication date: 16 December 2009
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.
Citation
Henderson, D.J. and Parmeter, C.F. (2009), "Imposing economic constraints in nonparametric regression: survey, implementation, and extension", Li, Q. and Racine, J.S. (Ed.) Nonparametric Econometric Methods (Advances in Econometrics, Vol. 25), Emerald Group Publishing Limited, Leeds, pp. 433-469. https://doi.org/10.1108/S0731-9053(2009)0000025016
Publisher
:Emerald Group Publishing Limited
Copyright © 2009, Emerald Group Publishing Limited