Flexible Functional Forms and Global Curvature Conditions
Two methods are developed for imposing curvature conditions globally in the estimation of cost functions. The first adopts a procedure due to Lau, for imposing the conditions locally, to a generalization of a functional form proposed by McFadden. With this functional form, imposing the appropriate conditions at one data point imposes the conditions globally. The second method adopts a technique used by Diewert, McFadden, and Barnett, which is based on the fact that a nonnegative sum of concave functions is concave. The suggested techniques are illustrated using the U.S. Manufacturing data utilized by E. R. Berndt and M. S. Khaled_(1979). Copyright 1987 by The Econometric Society.
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Volume (Year): 55 (1987)
Issue (Month): 1 (January)
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- McFadden, Daniel, 1978. "The General Linear Profit Function," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.), Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 5 McMaster University Archive for the History of Economic Thought.
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- Lau, Lawrence J., 1978. "Applications of Profit Functions," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.), Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 3 McMaster University Archive for the History of Economic Thought.
- Shoven, John B & Whalley, John, 1984. "Applied General-Equilibrium Models of Taxation and International Trade: An Introduction and Survey," Journal of Economic Literature, American Economic Association, vol. 22(3), pages 1007-51, September.
- 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.
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- 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.
- 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.
- Wales, Terence J., 1977. "On the flexibility of flexible functional forms : An empirical approach," Journal of Econometrics, Elsevier, vol. 5(2), pages 183-193, March.
- Elbadawi, Ibrahim & Gallant, A Ronald & Souza, Geraldo, 1983. "An Elasticity Can Be Estimated Consistently without A Priori Knowledge of Functional Form," Econometrica, Econometric Society, vol. 51(6), pages 1731-51, November.
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