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A note on Allen-Uzawa partial elasticities of substitution: the case of the translog cost function

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  • Atanas Christev
  • Allen Featherstone

Abstract

This note provides a useful property of the Allen-Uzawa partials for the translog cost function. It also suggests how the main results extend to any functional form with certain properties. The curvature of the Allen-Uzawa matrix is the same as the curvature of the Hessian matrix. Intuitively and empirically, the Allen-Uzawa partials allow for the verification of curvature properties.

Suggested Citation

  • Atanas Christev & Allen Featherstone, 2009. "A note on Allen-Uzawa partial elasticities of substitution: the case of the translog cost function," Applied Economics Letters, Taylor & Francis Journals, vol. 16(11), pages 1165-1169.
  • Handle: RePEc:taf:apeclt:v:16:y:2009:i:11:p:1165-1169
    DOI: 10.1080/13504850701367130
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    References listed on IDEAS

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    1. Ryan, David L & Wales, Terence J, 1998. "A Simple Method for Imposing Local Curvature in Some Flexible Consumer-Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 331-338, July.
    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.
    3. Allen M. Featherstone & Charles B. Moss, 1994. "Measuring Economies of Scale and Scope in Agricultural Banking," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(3), pages 655-661.
    4. Anderson, R. K. & Moroney, J. R., 1993. "Morishima elasticities of substitution with nested production functions," Economics Letters, Elsevier, vol. 42(2-3), pages 159-166.
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    Cited by:

    1. James, L. & Glynn, T., 2017. "Reexamining the Question: Are Imported Beef and Domestic Beef Complements or Substitutes?," 2017 Annual Meeting, February 4-7, 2017, Mobile, Alabama 252720, Southern Agricultural Economics Association.
    2. Dogan, Can & Akay, Gokhan H., 2016. "Multi-sector specific factors model with two mobile factors," International Review of Economics & Finance, Elsevier, vol. 46(C), pages 136-147.

    More about this item

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • D20 - Microeconomics - - Production and Organizations - - - General

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