IDEAS home Printed from https://ideas.repec.org/p/lvl/creacr/2012-5.html
   My bibliography  Save this paper

Imposing Curvature Conditions on Flexible Functional Forms for GNP Functions

Author

Listed:
  • Guy Chapda Nana
  • Bruno Larue

Abstract

This paper empirically investigates the implications of the imposition of convexity in output prices and concavity in factor endowments on flexible functional forms for the GNP function. Using macroeconomic data for Switzerland, we estimate the Translog and the Symmetric Normalized Quadratic forms to investigate the manner with which curvature restrictions are imposed, the extend of curvature violations and the robustness of estimated elasticities. We also compare the predictive accuracy of the aforementioned flexible functional forms. Our result show that concavity in factor endowments is violated much more often than convexity in output prices. For the Translog, the date at which local restrictions are imposed matters a great deal in terms of remaining curvature violations in the sample, but far less for estimated elasticities. In contrast, we found that the size and sign of elasticities vary across functional forms. In-sample forecasting analysis demonstrates that the Translog model significantly dominates the Symmetric Normalized Quadratic.

Suggested Citation

  • Guy Chapda Nana & Bruno Larue, 2012. "Imposing Curvature Conditions on Flexible Functional Forms for GNP Functions," Cahiers de recherche CREATE 2012-5, CREATE.
  • Handle: RePEc:lvl:creacr:2012-5
    as

    Download full text from publisher

    File URL: https://www.create.ulaval.ca/sites/create.ulaval.ca/files/Publications/create2012-5.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Lariviere, Eric & Larue, Bruno & Chalfant, Jim, 2000. "Modeling the demand for alcoholic beverages and advertising specifications," Agricultural Economics, Blackwell, vol. 22(2), pages 147-162, March.
    3. Barnett, William A. & Geweke, John & Wolfe, Michael, 1991. "Seminonparametric Bayesian estimation of the asymptotically ideal production model," Journal of Econometrics, Elsevier, vol. 49(1-2), pages 5-50.
    4. Ulrich Kohli, 1992. "Production, Foreign Trade, and Global Curvature Conditions: Switzerland, 1948-1988," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 128(I), pages 3-20, March.
    5. Hiau Looi Kee & Alessandro Nicita & Marcelo Olarreaga, 2008. "Import Demand Elasticities and Trade Distortions," The Review of Economics and Statistics, MIT Press, vol. 90(4), pages 666-682, November.
    6. Holt, Matthew T., 1998. "Autocorrelation specification in singular equation systems: A further look," Economics Letters, Elsevier, vol. 58(2), pages 135-141, February.
    7. Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-144, January.
    8. Ryan, David L & Wales, Terence J, 1998. "A Simple Method for Imposing Local Curvature in Some Flexible Consumer-Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 331-338, July.
    9. Chapda Nana, Guy & Larue, Bruno & Gervais, Jean-Philippe, 2012. "Regional integration and dynamic adjustments: Evidence from gross national product functions for Canada and the United States," The North American Journal of Economics and Finance, Elsevier, vol. 23(2), pages 246-264.
    10. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    11. Christis G. Tombazos, 2003. "A Production Theory Approach to the Imports and Wage Inequality Nexus," Economic Inquiry, Western Economic Association International, vol. 41(1), pages 42-61, January.
    12. Terry L. Kastens & Gary W. Brester, 1996. "Model Selection and Forecasting Ability of Theory-Constrained Food Demand Systems," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 78(2), pages 301-312.
    13. Moschini, Giancarlo, 1999. "Imposing Local Curvature Conditions in Flexible Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(4), pages 487-490, October.
    14. Griffiths, William E. & O'Donnell, Christopher J. & Cruz, Agustina Tan, 2000. "Imposing regularity conditions on a system of cost and factor share equations," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 44(1), March.
    15. Zijun Wang & David A. Bessler, 2003. "Forecast evaluations in meat demand analysis," Agribusiness, John Wiley & Sons, Ltd., vol. 19(4), pages 505-523.
    16. Gallant, A. Ronald & Golub, Gene H., 1984. "Imposing curvature restrictions on flexible functional forms," Journal of Econometrics, Elsevier, vol. 26(3), pages 295-321, December.
    17. Terrell, Dek, 1996. "Incorporating Monotonicity and Concavity Conditions in Flexible Functional Forms," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(2), pages 179-194, March-Apr.
    18. Edward R. Morey, 1986. "An Introduction to Checking, Testing, and Imposing Curvature Properties: The True Function and the Estimated Function," Canadian Journal of Economics, Canadian Economics Association, vol. 19(2), pages 207-235, May.
    19. 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.
    20. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    21. Douglas Fisher & Adrian R. Fleissig & Apostolos Serletis, 2006. "An Empirical Comparison of Flexible Demand System Functional Forms," World Scientific Book Chapters,in: Money And The Economy, chapter 13, pages 247-277 World Scientific Publishing Co. Pte. Ltd..
    22. Barnett, William A. & Serletis, Apostolos, 2008. "Measuring Consumer Preferences and Estimating Demand Systems," MPRA Paper 12318, University Library of Munich, Germany.
    23. Ulrich R. Kohli, 1978. "A Gross National Product Function and the Derived Demand for Imports and Supply of Exports," Canadian Journal of Economics, Canadian Economics Association, vol. 11(2), pages 167-182, May.
    24. Pollak, Robert A. & Wales, Terence J., 1991. "The likelihood dominance criterion : A new approach to model selection," Journal of Econometrics, Elsevier, vol. 47(2-3), pages 227-242, February.
    25. Serletis, Apostolos & Shahmoradi, Asghar, 2007. "Flexible Functional Forms, Curvature Conditions, And The Demand For Assets," Macroeconomic Dynamics, Cambridge University Press, vol. 11(04), pages 455-486, September.
    26. repec:clg:wpaper:2000-04 is not listed on IDEAS
    27. Subhash C. Sharma, 2002. "The Morishima Elasticity of Substitution for the Variable Profit Function and the Demand for Imports in the United States," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(1), pages 115-135, February.
    28. Harvey, David & Leybourne, Stephen & Newbold, Paul, 1997. "Testing the equality of prediction mean squared errors," International Journal of Forecasting, Elsevier, vol. 13(2), pages 281-291, June.
    29. Lariviere, Eric & Larue, Bruno & Chalfant, Jim, 2000. "Modeling the demand for alcoholic beverages and advertising specifications," Agricultural Economics of Agricultural Economists, International Association of Agricultural Economists, vol. 22(2), March.
    30. Chapda Nana, Guy & Gervais, Jean-Philippe & Larue, Bruno, 2010. "Regional Integration and Dynamic Adjustments: Evidence from a Gross National Product Function for Canada and the United States," MPRA Paper 23389, University Library of Munich, Germany.
    31. Kohli, Ulrich, 1993. "A Symmetric Normalized Quadratic GNP Function and the U.S. Demand for Imports and Supply of Exports," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(1), pages 243-255, February.
    32. 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 937-957, Sept.-Nov.
    33. Ryan, David L. & Wales, Terence J., 2000. "Imposing local concavity in the translog and generalized Leontief cost functions," Economics Letters, Elsevier, vol. 67(3), pages 253-260, June.
    34. Lau, Lawrence J., 1986. "Functional forms in econometric model building," Handbook of Econometrics,in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 3, chapter 26, pages 1515-1566 Elsevier.
    35. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ling-yun He & Li Liu, 2016. "The demand for road transport in China: imposing theoretical regularity and flexible functional forms selection," Papers 1612.02656, arXiv.org.
    2. Alphonse Singbo & Bruno Larue, 2016. "Scale Economies, Technical Efficiency, and the Sources of Total Factor Productivity Growth of Quebec Dairy Farms," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 64(2), pages 339-363, June.
    3. Alphonse G. Singbo & Bruno Larue, 2014. "Scale Economies and Technical Efficiency of Quebec Dairy Farms," Cahiers de recherche CREATE 2014-7, CREATE.

    More about this item

    Keywords

    GNP function; flexible functional forms; curvature violations; elasticities;

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:lvl:creacr:2012-5. 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: (Manuel Paradis). General contact details of provider: http://edirc.repec.org/data/calvlca.html .

    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 CitEc recognized a reference but did not link an item in RePEc 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 RePEc Author Service 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.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.