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Linear and Quadratic Spline Models for Consumer Demand Functions

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  • W. E. Diewert
  • T. J. Wales

Abstract

This paper combines flexible functional form techniques, which provide local approximations to indirect preferenc es with respect to prices and incomes, with spline techniques that provide global approximations with respect to real income. The main technical problem is that real income or utility is an unobserved variable. Starting with the normalized quadratic expenditure functio n, linear and quadratic spline models are introduced theoretically and are empirically estimated using Japanese consumer data for four goods fo r the years 1970-87. The semi-nonparametric literature initiated by A. R. Gallant is reviewed and a limited semi-nonparametric property is claimed to hold for the spline models presented in the paper.

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Bibliographic Info

Article provided by Canadian Economics Association in its journal Canadian Journal of Economics.

Volume (Year): 26 (1993)
Issue (Month): 1 (February)
Pages: 77-106

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Handle: RePEc:cje:issued:v:26:y:1993:i:1:p:77-106

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Citations

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Cited by:
  1. Rossella Bardazzi & Marco Barnabani, 2001. "A Long-run Disaggregated Cross-section and Time-series Demand System: An Application to Italy," Economic Systems Research, Taylor & Francis Journals, vol. 13(4), pages 365-389.
  2. Feng, Guohua & Serletis, Apostolos, 2008. "Productivity trends in U.S. manufacturing: Evidence from the NQ and AIM cost functions," Journal of Econometrics, Elsevier, vol. 142(1), pages 281-311, January.
  3. Bloemen, H.G. & Kapteyn, A., 1993. "The Estimation of Utility Consistent Labor Supply Models by Means of Simulated Scores," Papers 9367, Tilburg - Center for Economic Research.
  4. Koop, Gary & Osiewalski, Jacek & Steel, Mark F J, 1994. "Bayesian Efficiency Analysis with a Flexible Form: The AIM Cost Function," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 339-46, July.
  5. Robert G. Chambers & Rolf Färe & Shawna Grosskopf & Michael Vardanyan, 2008. "Generalized Quadratic Revenue Functions," CESifo Working Paper Series 2404, CESifo Group Munich.
  6. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
  7. Barnett, William A. & Usui, Ikuyasu, 2006. "The Theoretical Regularity Properties of the Normalized Quadratic Consumer Demand Model," MPRA Paper 410, University Library of Munich, Germany.
  8. Robert H. Beach & Matthew T. Holt, 2001. "Incorporating Quadratic Scale Curves in Inverse Demand Systems," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(1), pages 230-245.
  9. Diewert, Erwin, 2009. "Cost of Living Indexes and Exact Index Numbers," Economics working papers erwin_diewert-2009-6, Vancouver School of Economics, revised 13 Feb 2009.
  10. McKitrick, Ross R., 1998. "The econometric critique of computable general equilibrium modeling: the role of functional forms," Economic Modelling, Elsevier, vol. 15(4), pages 543-573, October.
  11. Diewert, W. E. & Wales, T. J., 1995. "Flexible functional forms and tests of homogeneous separability," Journal of Econometrics, Elsevier, vol. 67(2), pages 259-302, June.
  12. William A. Barnett & Jane Binner & W. Erwin Diewert, 2005. "Functional Structure and Approximation in Econometrics (book front matter)," Econometrics 0511006, EconWPA.

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