Imposing regularity conditions on a system of cost and factor share equations
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 wool‐growing sector. The effect of local imposition of monotonicity and concavity on the signs and magnitudes of elasticities is examined.
Volume (Year): 44 (2000)
Issue (Month): 1 (March)
|Contact details of provider:|| Postal: AARES Central Office Manager, Crawford School of Public Policy, ANU, Canberra ACT 0200|
Phone: 0409 032 338
Web page: http://www.aares.info
More information through EDIRC
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.:
- Diewert, Walter E & Wales, Terence J, 1987.
"Flexible Functional Forms and Global Curvature Conditions,"
Econometric Society, vol. 55(1), pages 43-68, January.
- W. Erwin Diewert & T.J. Wales, 1989. "Flexible Functional Forms and Global Curvature Conditions," NBER Technical Working Papers 0040, National Bureau of Economic Research, Inc.
- 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(03), December.
- 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.
- Chib, Siddhartha & Greenberg, Edward, 1996.
"Markov Chain Monte Carlo Simulation Methods in Econometrics,"
Cambridge University Press, vol. 12(03), pages 409-431, August.
- Siddhartha Chib & Edward Greenberg, 1994. "Markov Chain Monte Carlo Simulation Methods in Econometrics," Econometrics 9408001, EconWPA, revised 24 Oct 1994.
- Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275, September.
- 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.
- 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.
- A. Ronald Gallant & Gene H. Golub, 1982. "Imposing Curvature Restrictions on Flexible Functional Forms," Discussion Papers 538, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- 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.
- 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), August.
- 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..
- 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(02), August.
- 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), August.
- 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.
- Bigsby, Hugh R., 1994. "Production Structure And The Australian Sawmilling Industry," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 38(03), December.
- 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 259-68, August.
- 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, 07.
- Terrell, Dek, 1996. "Incorporating Monotonicity and Concavity Conditions in Flexible Functional Forms," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(2), pages 179-94, March-Apr.
- 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.
- 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.
- 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), March.
When requesting a correction, please mention this item's handle: RePEc:ags:aareaj:117790. 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: (AgEcon Search)
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.