Imposing economic constraints in nonparametric regression: survey, implementation, and extension

Daniel Henderson () and Christopher F. Parmeter

A chapter in Nonparametric Econometric Methods, 2009, pp 433-469 from Emerald Group Publishing Limited

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.

Date: 2009
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Working Paper: Imposing Economic Constraints in Nonparametric Regression: Survey, Implementation and Extension (2009)
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Persistent link: https://EconPapers.repec.org/RePEc:eme:aecozz:s0731-9053(2009)0000025016

DOI: 10.1108/S0731-9053(2009)0000025016

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