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Linear and Quadratic Spline Models for Consumer Demand Functions

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Author Info

  • 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. William Barnett & Apostolos Serletis, 2008. "Consumer preferences and demand systems," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200801, University of Kansas, Department of Economics, revised Jan 2008.
  2. Hans G. Bloemen & Arie Kapteyn, 2008. "The estimation of utility-consistent labor supply models by means of simulated scores," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(4), pages 395-422.
  3. 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.
  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. 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.
  6. 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.
  7. 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.
  8. Beach, Robert H. & Holt, Matthew T., 1999. "Incorporating Quadratic Scale Curves In Inverse Demand Systems," 1999 Annual meeting, August 8-11, Nashville, TN 21579, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  9. Robert G. Chambers & Rolf Färe & Shawna Grosskopf & Michael Vardanyan, 2008. "Generalized Quadratic Revenue Functions," CESifo Working Paper Series 2404, CESifo Group Munich.
  10. William A. Barnett & Jane Binner & W. Erwin Diewert, 2005. "Functional Structure and Approximation in Econometrics (book front matter)," Econometrics 0511006, EconWPA.
  11. 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.
  12. 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.

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