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)
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- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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 259-268, August.
- Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, 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.
- Chib, Siddhartha & Greenberg, Edward, 1996. "Markov Chain Monte Carlo Simulation Methods in Econometrics," Econometric Theory, 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.
- 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.
- Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275.
- 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.
- 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..
- 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.
- 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. Full references (including those not matched with items on IDEAS)
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