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Monotonicity And Curvature - A Bootstrapping Approach

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Author Info
Sauer, Johannes
Abstract

This research contributes to the ongoing discussion on functional flexibility and theoretical consistency by comparing the empirical performance of two second order flexible functional forms - the Symmetric Generalized McFadden and the Transcendental Logarithmic. It proposes an estimation procedure to enhance the domain of applicability for the Translog by a combination of matrix decomposition, classical non-linear estimation techniques as well as bootstrapping based resampling. The validity of the proposed procedure is exemplified by applying it to a sample of small-scale farmers. The results show that the range of theoretical consistency can be crucially enhanced for the Translog functional form by maintaining its flexibility and statistical significance. Hence, beside its empirical superiority by applying the outlined procedure the Translog can also catch up with respect to the range of functional consistency.

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Paper provided by German Association of Agricultural Economists (GEWISOLA) in its series 46th Annual Conference, Giessen, Germany, October 4-6, 2006 with number 14948.

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Date of creation: 2006
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Handle: RePEc:ags:gewi06:14948

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Keywords: Econometric Modeling; Flexible Functional Forms; Theoretical Consistency; Bootstrapping; Financial Economics;

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  1. Griffiths, William E. & O'Donnell, Christopher J. & Cruz, Augustina Tan, 1999. "Imposing Regularity Conditions On A System Of Cost And Factor Share Equations," Working Papers 12925, University of New England, School of Economics. [Downloadable!]
  2. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January. [Downloadable!] (restricted)
    Other versions:
  3. Donald W. K. Andrews, 1999. "Estimation When a Parameter Is on a Boundary," Econometrica, Econometric Society, vol. 67(6), pages 1341-1384, November.
  4. Fuss, Melvyn & McFadden, Daniel & Mundlak, Yair, 1978. "A Survey of Functional Forms in the Economic Analysis of Production," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.), Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 4 McMaster University Archive for the History of Economic Thought. [Downloadable!]
  5. 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. [Downloadable!] (restricted)
  6. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1973. "Transcendental Logarithmic Production Frontiers," The Review of Economics and Statistics, MIT Press, vol. 55(1), pages 28-45, February. [Downloadable!] (restricted)
  7. 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. [Downloadable!] (restricted)
  8. 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 207-35, May. [Downloadable!] (restricted)
  9. 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. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
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  11. Johannes Sauer, 2006. "Economic Theory and Econometric Practice: Parametric Efficiency Analysis," Empirical Economics, Springer, vol. 31(4), pages 1061-1087, November. [Downloadable!] (restricted)
  12. 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. [Downloadable!] (restricted)
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