Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/165963
Authors: 
Biørn, Erik
Year of Publication: 
2017
Series/Report no.: 
Memorandum, Department of Economics, University of Oslo 01/2017
Abstract: 
Estimation of polynomial regression equations in one error-ridden variable and a number of error-free regressors, as well as an instrument set for the former is considered. Procedures for identification, operating on moments up to a certain order, are elaborated for single- and multi-equation models. Weak distributional assumptions are made for the error and the latent regressor. Simple order-conditions are derived, and procedures involving recursive identification of the moments of the regressor and its measurement errors together with the coefficients of the polynomials are considered. A Generalized Method of Moments (GMM) algorithm involving the instruments and proceeding stepwise from the identification procedures, is presented. An illustration for systems of linear, quadratic and cubic Engel functions, with household consumption and income data is given.
Subjects: 
Errors in variables
Polynomial regression
Error distribution
Identification
Instrumental variables
Method of Moments
Engel functions
JEL: 
C21
C23
C31
C33
C51
E21
Document Type: 
Working Paper

Files in This Item:
File
Size
494.79 kB





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.