IDEAS home Printed from https://ideas.repec.org/p/ags/uneewp/12925.html
   My bibliography  Save this paper

Imposing Regularity Conditions On A System Of Cost And Factor Share Equations

Author

Listed:
  • Griffiths, William E.
  • O'Donnell, Christopher J.
  • Cruz, Agustina Tan

Abstract

Systems of equations comprising cost functions and first-order derivative equations are often used to estimate characteristics of production technologies. Unfortunately, many estimated systems violate the regularity conditions implied by economic theory. Sampling theory methods can be used to impose these conditions globally, but these methods destroy the flexibility properties of most functional forms. We demonstrate how Bayesian methods can be used to maintain flexibility by imposing regularity conditions locally. The Bayesian approach is used to estimate a system of cost and share equations for the merino-woolgrowing sector. The effect of local imposition of monotonicity and concavity on the signs and magnitudes of elasticities is examined.

Suggested Citation

  • Griffiths, William E. & O'Donnell, Christopher J. & Cruz, Agustina Tan, 1999. "Imposing Regularity Conditions On A System Of Cost And Factor Share Equations," Working Papers 12925, University of New England, School of Economics.
    • Handle: RePEc:ags:uneewp:12925
    DOI: 10.22004/ag.econ.12925
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/12925/files/wp9911.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.22004/ag.econ.12925?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Rulon D. Pope & Richard E. Just, 1998. "Cost Function Estimation under Risk Aversion," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 80(2), pages 296-302.
    2. John D. Mullen & Thomas L. Cox, 1996. "Measuring Productivity Growth In Australian Broadacre Agriculture," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 40(3), pages 189-210, December.
    3. William A. Barnett, 2000. "New Indices of Money Supply and the Flexible Laurent Demand System," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 325-359, Emerald Group Publishing Limited.
    4. Zhao, Xueyan & Griffiths, William E. & Griffith, Garry R. & Mullen, John D., 2000. "Probability distributions for economic surplus changes: the case of technical change in the Australian wool industry," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 44(1), pages 1-24.
    5. Berndt, Ernst R & Wood, David O, 1975. "Technology, Prices, and the Derived Demand for Energy," The Review of Economics and Statistics, MIT Press, vol. 57(3), pages 259-268, August.
    6. Chib, Siddhartha & Greenberg, Edward, 1996. "Markov Chain Monte Carlo Simulation Methods in Econometrics," Econometric Theory, Cambridge University Press, vol. 12(3), pages 409-431, August.
    7. Brian S. Fisher & Charles A. Wall, 1990. "Supply Response In The Australian Sheep Industry: A Profit Function Approach," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 34(2), pages 147-166, August.
    8. Fuss, Melvyn & McFadden, Daniel, 1978. "Production Economics: A Dual Approach to Theory and Applications (II): Applications of the Theory of Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 2, number fuss1978a.
    9. Ramon E. Lopez & Fu-Lai Tung, 1982. "Energy and Non-Energy Input Substitution Possibilities and Output Scale Effects in Canadian Agriculture," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 30(2), pages 115-132, July.
    10. Philip Heidelberger & Peter D. Welch, 1983. "Simulation Run Length Control in the Presence of an Initial Transient," Operations Research, INFORMS, vol. 31(6), pages 1109-1144, December.
    11. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    12. White, Kenneth J, 1978. "A General Computer Program for Econometric Methods-Shazam," Econometrica, Econometric Society, vol. 46(1), pages 239-240, January.
    13. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    14. 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.
    15. Coelli, T J, 1996. "Measurement of Total Factor Productivity Growth and Biases in Technological Change in Western Australian Agriculture," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(1), pages 77-91, Jan.-Feb..
    16. C. Richard Shumway & William P. Alexander, 1988. "Agricultural Product Supplies and Input Demands: Regional Comparisons," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 70(1), pages 153-161.
    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. Mullen, John D. & Cox, Thomas L., 1996. "Measuring Productivity Growth In Australian Broadacre Agriculture," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 40(3), pages 1-22, December.
    19. 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.
    20. Bigsby, Hugh R., 1994. "Production Structure And The Australian Sawmilling Industry," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 38(3), pages 1-18, December.
    21. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275, September.
    22. Fisher, Brian S. & Wall, Charles A., 1990. "Supply Response In The Australian Sheep Industry: A Profit Function Approach," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 34(2), pages 1-20, August.
    23. Fuss, Melvyn & McFadden, Daniel, 1978. "Production Economics: A Dual Approach to Theory and Applications (I): The Theory of Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 1, number fuss1978.
    24. McKay, Lloyd & Lawrence, Denis & Vlastuin, Chris, 1980. "Input Demand and Substitution in the Australian Sheep Industry," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 48(02), pages 1-14, August.
    25. Ramon E. Lopez, 1980. "The Structure of Production and the Derived Demand for Inputs in Canadian Agriculture," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 62(1), pages 38-45.
    26. C.J. O'Donnell & A. D. Woodland, 1995. "Estimation of Australian Wool and Lamb Production Technologies under Uncertainty: An Error-Components Approach," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 77(3), pages 552-565.
    27. Watts, Geof & Quiggin, John C., 1984. "A Note on the Use of a Logarithmic Time Trend," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 52(02), pages 1-9, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nguyen, Duong T.M. & McLaren, Keith Robert & Zhao, Xueyan, 2008. "Multi-Output Broadacre Agricultural Production: Estimating A Cost Function Using Quasi-Micro Farm Level Data From Australia," 2008 Conference (52nd), February 5-8, 2008, Canberra, Australia 6009, Australian Agricultural and Resource Economics Society.
    2. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    3. Aradhyula, Satheesh Venkata, 1989. "Policy structure, output supply and input demand for US crops," ISU General Staff Papers 198901010800009909, Iowa State University, Department of Economics.
    4. Baccar, Sourour, 1995. "Reliability of the Translog Cost Function : Some Theory & an Application to the Demand of Energy in French Manufacturing," MPRA Paper 53987, University Library of Munich, Germany.
    5. Michaelides, Panayotis G. & Vouldis, Angelos T. & Tsionas, Efthymios G., 2010. "Globally flexible functional forms: The neural distance function," European Journal of Operational Research, Elsevier, vol. 206(2), pages 456-469, October.
    6. Sauer, J., 2007. "Monotonicity and Curvature – A Bootstrapping Approach," Proceedings “Schriften der Gesellschaft für Wirtschafts- und Sozialwissenschaften des Landbaues e.V.”, German Association of Agricultural Economists (GEWISOLA), vol. 42, March.
    7. H. Ahammad & N. Islam, 1999. "Estimating the WA Agricultural Production System: A profit function approach," Economics Discussion / Working Papers 99-11, The University of Western Australia, Department of Economics.
    8. Hendrik Wolff & Thomas Heckelei & Ron Mittelhammer, 2010. "Imposing Curvature and Monotonicity on Flexible Functional Forms: An Efficient Regional Approach," Computational Economics, Springer;Society for Computational Economics, vol. 36(4), pages 309-339, December.
    9. Sauer, J.F., 2005. "“Efficiency Flooding”: Black-Box Frontiers and Policy Implications," International Journal of Applied Econometrics and Quantitative Studies, Euro-American Association of Economic Development, vol. 2(1), pages 17-52.
    10. Sauer, Johannes, 2006. "Monotonicity And Curvature - A Bootstrapping Approach," 46th Annual Conference, Giessen, Germany, October 4-6, 2006 14948, German Association of Agricultural Economists (GEWISOLA).
    11. Eric Heyer & Florian Pelgrin & Arnaud Sylvain, 2004. "Translog ou Cobb-Douglas? Le rôle des durées d'utilisation des facteurs," Staff Working Papers 04-19, Bank of Canada.
    12. Guy Chapda Nana & Bruno Larue, 2014. "Imposing curvature conditions on flexible functional forms for GNP functions," Empirical Economics, Springer, vol. 47(4), pages 1411-1440, December.
    13. Johannes Sauer & Klaus Frohberg & Henrich Hockmann, 2006. "Stochastic efficiency measurement: The curse of theoretical consistency," Journal of Applied Economics, Universidad del CEMA, vol. 9, pages 139-166, May.
    14. O'Donnell, Christopher J. & Coelli, Timothy J., 2005. "A Bayesian approach to imposing curvature on distance functions," Journal of Econometrics, Elsevier, vol. 126(2), pages 493-523, June.
    15. Moschini, GianCarlo, 2001. "Production risk and the estimation of ex-ante cost functions," Journal of Econometrics, Elsevier, vol. 100(2), pages 357-380, February.
    16. Mulik, Kranti & Featherstone, Allen M. & Marsh, Thomas L., 2003. "Imposing Curvature Restrictions On A Translog Cost Function Using A Markov Chain Monte Carlo Simulation Approach," 2003 Annual meeting, July 27-30, Montreal, Canada 22038, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    17. Levent Kutlu & Shasha Liu & Robin C. Sickles, 2022. "Cost, Revenue, and Profit Function Estimates," Springer Books, in: Subhash C. Ray & Robert G. Chambers & Subal C. Kumbhakar (ed.), Handbook of Production Economics, chapter 16, pages 641-679, Springer.
    18. Barnett, William A. & Serletis, Apostolos, 2008. "Measuring Consumer Preferences and Estimating Demand Systems," MPRA Paper 12318, University Library of Munich, Germany.
    19. Zhao, Xueyan & Mullen, John D. & Griffith, Garry R. & Griffiths, William E. & Piggott, Roley R., 2000. "An Equilibrium Displacement Model of the Australian Beef Industry," Research Reports 28007, New South Wales Department of Primary Industries Research Economists.
    20. Eswaramoorthy, K., 1991. "U.S. livestock production and factor demand: a multiproduct dynamic dual approach," ISU General Staff Papers 1991010108000010523, Iowa State University, Department of Economics.

    More about this item

    Keywords

    Demand and Price Analysis;

    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:ags:uneewp:12925. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: AgEcon Search (email available below). General contact details of provider: https://edirc.repec.org/data/deuneau.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.