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Title:Semiparametric Estimation of Regression Functions Under Shape Invariance Restrictions PDF Logo
Authors:Wilke, Ralf A.
Issue Date:2003
Series/Report no.:ZEW Discussion Papers 03-64
Abstract:This paper considers the shape invariant modelling approach in semiparametric regression estimation. Nonparametric functions of similar shape are linked by parametric transformations with unknown parameters. A computationally convenient estimation procedure is suggested. √N- consistency of the parameter estimates is proved. Finite sample performance of this estimator is investigated by simulations. An application to consumer data illustrates the importance of this method for applied statistics. Estimations indicate that the imposed shape invariance restrictions have empirical evidence in the semiparametric modelling of consumer demand.
Subjects:shape invariant modelling
semiparametric regression
large sample properties
consumer data
Document Type:Working Paper
Appears in Collections:ZEW Discussion Papers, Zentrum für Europäische Wirtschaftsforschung (ZEW)
Publikationen von Forscherinnen und Forschern des Zentrums für Europäische Wirtschaftsforschung (ZEW)

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