IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this article or follow this journal

An empirical comparison of flexible demand system functional forms

  • Douglas Fisher

    (Department of Economics, North Carolina State University, Raleigh, North Carolina 27695-7506, USA)

  • Adrian R. Fleissig

    (Department of Economics, California State University, Fullerton, CA 92834-6848, USA)

  • Apostolos Serletis

    (Department of Economics, The University of Calgary, Calgary, Alberta T2N 1N4, Canada)

This paper compares the performance of eight frequently used flexible forms that are either (1) locally flexible, (2) 'effectively globally regular', or (3) asymptotically globally flexible. Results show that the functions with global properties generally perform better, particularly those models having asymptotic properties. Results, using US consumption data, indicate substitutability among the components of consumption at most data points. There is also some interesting substitution volatility around the time of recessions in the USA. Copyright © 2001 John Wiley & Sons, Ltd.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://qed.econ.queensu.ca:80/jae/2001-v16.1/
File Function: Supporting data files and programs
Download Restriction: no

Article provided by John Wiley & Sons, Ltd. in its journal Journal of Applied Econometrics.

Volume (Year): 16 (2001)
Issue (Month): 1 ()
Pages: 59-80

as
in new window

Handle: RePEc:jae:japmet:v:16:y:2001:i:1:p:59-80
Contact details of provider: Web page: http://www.interscience.wiley.com/jpages/0883-7252/

Order Information: Web: http://www3.interscience.wiley.com/jcatalog/subscribe.jsp?issn=0883-7252 Email:


References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Granger, Clive W J, 1995. "Modelling Nonlinear Relationships between Extended-Memory Variables," Econometrica, Econometric Society, vol. 63(2), pages 265-79, March.
  2. Pollak, Robert A & Wales, Terence J, 1980. "Comparison of the Quadratic Expenditure System and Translog Demand Systems with Alternative Specifications of Demographic Effects," Econometrica, Econometric Society, vol. 48(3), pages 595-612, April.
  3. Ng, S., 1995. "Testing for Homogeneity in Demand Systems when the Regressors Are Non-Stationary," Cahiers de recherche 9516, Universite de Montreal, Departement de sciences economiques.
  4. Peter C.B. Phillips, 1985. "Time Series Regression with a Unit Root," Cowles Foundation Discussion Papers 740R, Cowles Foundation for Research in Economics, Yale University, revised Feb 1986.
  5. MacKinnon, James G, 1994. "Approximate Asymptotic Distribution Functions for Unit-Root and Cointegration Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 167-76, April.
  6. Cooper, Russel J & McLaren, Keith R, 1996. "A System of Demand Equations Satisfying Effectively Global Regularity Conditions," The Review of Economics and Statistics, MIT Press, vol. 78(2), pages 359-64, May.
  7. Campbell, John Y & Mankiw, N Gregory, 1990. "Permanent Income, Current Income, and Consumption," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(3), pages 265-79, July.
  8. Guilkey, David K & Lovell, C A Knox & Sickles, Robin C, 1983. "A Comparison of the Performance of Three Flexible Functional Forms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 591-616, October.
  9. Caves, Douglas W & Christensen, Laurits R, 1980. "Global Properties of Flexible Functional Forms," American Economic Review, American Economic Association, vol. 70(3), pages 422-32, June.
  10. Hal R. Varian, 1983. "Non-parametric Tests of Consumer Behaviour," Review of Economic Studies, Oxford University Press, vol. 50(1), pages 99-110.
  11. Lewbel, Arthur, 1990. "Full Rank Demand Systems," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(2), pages 289-300, May.
  12. Lewbel, Arthur, 1996. "Aggregation without Separability: A Generalized Composite Commodity Theorem," American Economic Review, American Economic Association, vol. 86(3), pages 524-43, June.
  13. Barnett, William A & Lee, Yul W, 1985. "The Global Properties of the Miniflex Laurent, Generalized Leontief, and Translog Flexible Functional Forms," Econometrica, Econometric Society, vol. 53(6), pages 1421-37, November.
  14. Alston, Julian M & Foster, Kenneth A & Green, Richard D, 1994. "Estimating Elasticities with the Linear Approximate Almost Ideal Demand System: Some Monte Carlo Results," The Review of Economics and Statistics, MIT Press, vol. 76(2), pages 351-56, May.
  15. Charles Blackorby & R. Robert Russell, 1981. "The Morishima Elasticity of Substitution; Symmetry, Constancy, Separability, and its Relationship to the Hicks and Allen Elasticities," Review of Economic Studies, Oxford University Press, vol. 48(1), pages 147-158.
  16. Barnett, William A. & Lee, Yul W. & Wolfe, Michael, 1987. "The global properties of the two minflex Laurent flexible functional forms," Journal of Econometrics, Elsevier, vol. 36(3), pages 281-298, November.
  17. Diewert, W E, 1971. "An Application of the Shephard Duality Theorem: A Generalized Leontief Production Function," Journal of Political Economy, University of Chicago Press, vol. 79(3), pages 481-507, May-June.
  18. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1975. "Transcendental Logarithmic Utility Functions," American Economic Review, American Economic Association, vol. 65(3), pages 367-83, June.
  19. Barnett, William A. & Jonas, Andrew B., 1983. "The Muntz-Szatz demand system : An application of a globally well behaved series expansion," Economics Letters, Elsevier, vol. 11(4), pages 337-342.
  20. Barnett, William A, 1983. "New Indices of Money Supply and the Flexible Laurent Demand System," Journal of Business & Economic Statistics, American Statistical Association, vol. 1(1), pages 7-23, January.
  21. Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
  22. Phillips, P.C.B., 1986. "Testing for a Unit Root in Time Series Regression," Cahiers de recherche 8633, Universite de Montreal, Departement de sciences economiques.
  23. Eastwood, Brian J., 1991. "Asymptotic normality and consistency of semi-nonparametric regression estimators using an upwards F test truncation rule," Journal of Econometrics, Elsevier, vol. 48(1-2), pages 151-181.
  24. Stoker, Thomas M, 1986. "Simple Tests of Distributional Effects on Macroeconomic Equations," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 763-95, August.
  25. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
  26. Serletis, Apostolos, 1988. "Translog Flexible Functional Forms and Substitutability of Monetary Assets," Journal of Business & Economic Statistics, American Statistical Association, vol. 6(1), pages 59-67, January.
  27. Diewert, W Erwin, 1978. "Superlative Index Numbers and Consistency in Aggregation," Econometrica, Econometric Society, vol. 46(4), pages 883-900, July.
  28. Lewbel, Arthur, 1995. "Utility Functions and Global Regularity of Fractional Demand Systems," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(4), pages 943-61, November.
  29. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-26, June.
  30. Chalfant, James A. & Gallant, A. Ronald, 1985. "Estimating substitution elasticities with the Fourier cost function : Some Monte Carlo results," Journal of Econometrics, Elsevier, vol. 28(2), pages 205-222, May.
  31. Fleissig, Adrian R. & Kastens, Terry & Terrell, Dek, 1997. "Semi-nonparametric estimates of substitution elasticities," Economics Letters, Elsevier, vol. 54(3), pages 209-215, July.
  32. Barnett, William A., 1985. "The minflex-laurent translog flexible functional form," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 33-44.
  33. Peter C.B. Phillips, 1993. "Fully Modified Least Squares and Vector Autoregression," Cowles Foundation Discussion Papers 1047, Cowles Foundation for Research in Economics, Yale University.
  34. Pashardes, Panos, 1993. "Bias in Estimating the Almost Ideal Demand System with the Stone Index Approximation," Economic Journal, Royal Economic Society, vol. 103(419), pages 908-15, July.
  35. James Banks & Richard Blundell & Arthur Lewbel, 1997. "Quadratic Engel Curves And Consumer Demand," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 527-539, November.
  36. Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-30, May.
  37. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
  38. Pantula, Sastry G & Gonzalez-Farias, Graciela & Fuller, Wayne A, 1994. "A Comparison of Unit-Root Test Criteria," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 449-59, October.
  39. Barnett, William A. & Lee, Yul W. & Wolfe, Michael D., 1985. "The three-dimensional global properties of the minflex laurent, generalized leontief, and translog flexible functional forms," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 3-31.
  40. Lewbel, Arthur, 1987. "Fractional demand systems," Journal of Econometrics, Elsevier, vol. 36(3), pages 311-337, November.
  41. Berndt, Ernst R & Savin, N Eugene, 1975. "Estimation and Hypothesis Testing in Singular Equation Systems with Autoregressive Disturbances," Econometrica, Econometric Society, vol. 43(5-6), pages 937-57, Sept.-Nov.
  42. Guilkey, David K & Lovell, C A Knox, 1980. "On the Flexibility of the Translog Approximation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 137-47, February.
  43. Lewbel, Arthur, 1987. "Characterizing Some Gorman Engel Curves," Econometrica, Econometric Society, vol. 55(6), pages 1451-59, November.
  44. Blackorby, Charles & Russell, R Robert, 1989. "Will the Real Elasticity of Substitution Please Stand Up? (A Comparison of the Allen/Uzawa and Morishima Elasticities)," American Economic Review, American Economic Association, vol. 79(4), pages 882-88, September.
  45. Fisher, Douglas, 1992. "Money-Demand Variability: A Demand-Systems Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(2), pages 143-51, April.
  46. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-72, June.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:jae:japmet:v:16:y:2001:i:1:p:59-80. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wiley-Blackwell Digital Licensing)

or (Christopher F. Baum)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.