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Imposing and Testing Curvature Conditions on a Box-Cox Cost Function

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  • Koebel, Bertrand
  • Falk, Martin
  • Laisney, Francois

Abstract

We present a new method for imposing and testing concavity of cost functions using asymptotic least squares, which can be easily implemented even for nonlinear cost functions. We provide an illustration for a (generalized) Box-Cox cost function with six inputs: capital, labor disaggregated in three skill levels, energy, and intermediate materials. We present a parametric concavity test and compare price elasticities when curvature conditions are imposed versus when they are not. Although concavity is statistically rejected, estimates are not very sensitive to its imposition. We find stronger substitution between the different type of labor than between any other two inputs.

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Bibliographic Info

Article provided by American Statistical Association in its journal Journal of Business and Economic Statistics.

Volume (Year): 21 (2003)
Issue (Month): 2 (April)
Pages: 319-35

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Handle: RePEc:bes:jnlbes:v:21:y:2003:i:2:p:319-35

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Cited by:
  1. Andreas Lichter & Andreas Peichl & Sebastian Siegloch, 2014. "Exporting and Labor Demand: Micro-level Evidence from Germany," CESifo Working Paper Series 4668, CESifo Group Munich.
  2. repec:hal:cesptp:halshs-00194165 is not listed on IDEAS
  3. Henningsen, Arne & Glauben, Thomas & Henning, Christian H.C.A., 2003. "Farm Household Decisions Under Various Tax Policies: Comparative Static Results And Evidence From Household Data," 2003 Annual Meeting, August 16-22, 2003, Durban, South Africa 25889, International Association of Agricultural Economists.
  4. Cox, Michael & Peichl, Andreas & Pestel, Nico & Siegloch, Sebastian, 2013. "Labor Demand Effects of Rising Electricity Prices: Evidence for Germany," IZA Policy Papers 74, Institute for the Study of Labor (IZA).
  5. Le-Yu Chen & Jerzy Szroeter, 2009. "Hypothesis testing of multiple inequalities: the method of constraint chaining," CeMMAP working papers CWP13/09, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  6. repec:hal:journl:halshs-00194165 is not listed on IDEAS
  7. Xi Chen & Bertrand M. Koebel, 2013. "Fixed cost, variable cost, markups and returns to scale," Working Papers of BETA 2013-13, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  8. Falk, Martin & Koebel, Bertrand M., 2000. "Outsourcing of services, imported materials and the demand for heterogeneous labour : an application of a generalised box-cox function," ZEW Discussion Papers 00-51, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
  9. Arne Henningsen & Christian Henning, 2009. "Imposing regional monotonicity on translog stochastic production frontiers with a simple three-step procedure," Journal of Productivity Analysis, Springer, vol. 32(3), pages 217-229, December.
  10. Koebel, Bertrand M., 2004. "First-order serial correlation in seemingly unrelated regressions," Economics Letters, Elsevier, vol. 82(1), pages 1-7, January.
  11. Falk, Martin & Koebel, Bertrand M., 2004. "The impact of office machinery, and computer capital on the demand for heterogeneous labour," Labour Economics, Elsevier, vol. 11(1), pages 99-117, February.
  12. Löschel, Andreas & Conrad, Klaus, 2002. "Recycling of eco-taxes, labor market effects and the true cost of labor: a CGE analysis," ZEW Discussion Papers 02-31, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
  13. Henning, Christian H.C.A. & Henningsen, Arne, 2005. "Modeling Price Response of Farm Households Under Imperfect Labor Markets: A Farm Household Approach to Family Farms in Poland," 94th Seminar, April 9-10, 2005, Ashford, UK 24431, European Association of Agricultural Economists.
  14. Fitzenberger, Bernd & Kohn, Karsten, 2006. "Skill Wage Premia, Employment, and Cohort Effects: Are Workers in Germany All of the Same Type?," IZA Discussion Papers 2185, Institute for the Study of Labor (IZA).
  15. De Palma, Francesco & Seegmuller, Thomas, 2005. "Dual Labor Market And Endogenous Fluctuations," Macroeconomic Dynamics, Cambridge University Press, vol. 9(03), pages 398-411, June.

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