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On estimation of the CES production function—Revisited

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  • Henningsen, Arne
  • Henningsen, Géraldine

Abstract

Estimation of the non-linear Constant Elasticity of Scale (CES) function is generally considered problematic due to convergence problems and unstable and/or meaningless results. These problems often arise from a non-smooth objective function with large flat areas, the discontinuity of the CES function where the elasticity of substitution is one, and possibly significant rounding errors where the elasticity of substitution is close to one. We suggest three (combinable) solutions that alleviate these problems and improve the reliability and stability of the results.

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Bibliographic Info

Article provided by Elsevier in its journal Economics Letters.

Volume (Year): 115 (2012)
Issue (Month): 1 ()
Pages: 67-69

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Handle: RePEc:eee:ecolet:v:115:y:2012:i:1:p:67-69

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Web page: http://www.elsevier.com/locate/ecolet

Related research

Keywords: Constant elasticity of substitution; CES function; Estimation; Non-linear least squares;

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  1. Chris Papageorgiou & Marianne Saam, . "Two-Level CES Production Technology in the Solow and Diamond Growth Models," Departmental Working Papers 2005-07, Department of Economics, Louisiana State University.
  2. Sun, Kai & Henderson, Daniel J. & Kumbhakar, Subal C., 2010. "Biases in approximating log production," MPRA Paper 27527, University Library of Munich, Germany.
  3. Kemfert, Claudia, 1998. "Estimated substitution elasticities of a nested CES production function approach for Germany," Energy Economics, Elsevier, vol. 20(3), pages 249-264, June.
  4. Lloyd, P. J. & MacLaren, D., 2002. "Measures of trade openness using CGE analysis," Journal of Policy Modeling, Elsevier, vol. 24(1), pages 67-81, March.
  5. Arne Henningsen & Géraldine Henningsen, 2011. "Econometric Estimation of the “Constant Elasticity of Substitution" Function in R: Package micEconCES," IFRO Working Paper 2011/9, University of Copenhagen, Department of Food and Resource Economics.
  6. Thursby, Jerry G & Lovell, C A Knox, 1978. "An Investigation of the Kmenta Approximation to the CES Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(2), pages 363-77, June.
  7. McFarland, J. R. & Reilly, J. M. & Herzog, H. J., 2004. "Representing energy technologies in top-down economic models using bottom-up information," Energy Economics, Elsevier, vol. 26(4), pages 685-707, July.
  8. Rainer Klump & Peter McAdam & Alpo Willman, 2007. "Factor Substitution and Factor-Augmenting Technical Progress in the United States: A Normalized Supply-Side System Approach," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 183-192, February.
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