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Estimation of production technology when the objective is to maximize return to the outlay

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  • Kumbhakar, Subal C.

Abstract

This paper deals with estimation of production technology where endogeneous choice of input and output variables is explicitly recognized. To address this endogeneity issue, we assume that producers maximize return to the outlay. We start from a flexible (translog) transformation function with a single output and multiple inputs and show how the first-order conditions of maximizing return to the outlay can be used to come up with an 'estimating equation' that does not suffer from the econometric endogeneity problem although the output and input variables are chosen endogenously. This is because the regressors in this estimating equation are in ratio forms which are uncorrelated with the error term under the assumption that producers maximize return to the outlay. The analysis is then extended to the multiple outputs and multiple inputs case with technical inefficiency. Although the estimating equations in both single and multiple output cases are neither production nor distance functions, they can be estimated in a straightforward manner using the standard stochastic frontier technique without worrying about endogeneity of the regressors. Thus, we provide a rationale for estimating the technology parameters consistently using an econometric model which requires data on only input and output quantities.

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Bibliographic Info

Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 208 (2011)
Issue (Month): 2 (January)
Pages: 170-176

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Handle: RePEc:eee:ejores:v:208:y:2011:i:2:p:170-176

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

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Keywords: Distance function Transformation function Translog function Technical inefficiency;

References

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  1. Subal C. Kumbhakar, 2001. "Estimation of Profit Functions When Profit Is Not Maximum," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(1), pages 1-19.
  2. Reinhard, Stijn & Knox Lovell, C. A. & Thijssen, Geert J., 2000. "Environmental efficiency with multiple environmentally detrimental variables; estimated with SFA and DEA," European Journal of Operational Research, Elsevier, vol. 121(2), pages 287-303, March.
  3. Seiford, Lawrence M. & Zhu, Joe, 2002. "Modeling undesirable factors in efficiency evaluation," European Journal of Operational Research, Elsevier, vol. 142(1), pages 16-20, October.
  4. Banos-Pino, Jose & Fernandez-Blanco, Victor & Rodriguez-Alvarez, Ana, 2002. "The allocative efficiency measure by means of a distance function: The case of Spanish public railways," European Journal of Operational Research, Elsevier, vol. 137(1), pages 191-205, February.
  5. Per Krusell & Lee E. Ohanian & Jose-Victor Rios-Rull & Giovanni L. Violante, 1997. "Capital-skill complementarity and inequality: a macroeconomic analysis," Staff Report 239, Federal Reserve Bank of Minneapolis.
  6. José Zofío & Angel Prieto, 2006. "Return to Dollar, Generalized Distance Function and the Fisher Productivity Index," Spanish Economic Review, Springer, vol. 8(2), pages 113-138, June.
  7. Brissimis, Sophocles N. & Delis, Manthos D. & Tsionas, Efthymios G., 2010. "Technical and allocative efficiency in European banking," European Journal of Operational Research, Elsevier, vol. 204(1), pages 153-163, July.
  8. Kumbhakar, Subal C. & Wang, Hung-Jen, 2006. "Estimation of technical and allocative inefficiency: A primal system approach," Journal of Econometrics, Elsevier, vol. 134(2), pages 419-440, October.
  9. repec:fth:louvco:0042 is not listed on IDEAS
  10. Fare, Rolf & Grosskopf, Shawna & Zaim, Osman, 2002. "Hyperbolic efficiency and return to the dollar," European Journal of Operational Research, Elsevier, vol. 136(3), pages 671-679, February.
  11. COELLI, Tim, 2000. "On the econometric estimation of the distance function representation of a production technology," CORE Discussion Papers 2000042, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  12. Bhattacharyya, Arunava & Lovell, C. A. K. & Sahay, Pankaj, 1997. "The impact of liberalization on the productive efficiency of Indian commercial banks," European Journal of Operational Research, Elsevier, vol. 98(2), pages 332-345, April.
  13. Panzar, John C & Willig, Robert D, 1977. "Economies of Scale in Multi-Output Production," The Quarterly Journal of Economics, MIT Press, vol. 91(3), pages 481-93, August.
  14. Tim Coelli & Gholamreza Hajargasht & C.A. Knox Lovell, 2008. "Econometric Estimation of an Input Distance Function in a System of Equations," CEPA Working Papers Series WP012008, School of Economics, University of Queensland, Australia.
  15. Yu, Ming-Miin & Fan, Chih-Ku, 2008. "The effects of privatization on return to the dollar: A case study on technical efficiency, and price distortions of Taiwan's intercity bus services," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(6), pages 935-950, July.
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Citations

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Cited by:
  1. Kumbhakar, Subal C., 2012. "Specification and estimation of primal production models," European Journal of Operational Research, Elsevier, vol. 217(3), pages 509-518.
  2. Subal Kumbhakar & Frank Asche & Ragnar Tveteras, 2013. "Estimation and decomposition of inefficiency when producers maximize return to the outlay: an application to Norwegian fishing trawlers," Journal of Productivity Analysis, Springer, vol. 40(3), pages 307-321, December.
  3. Subal Kumbhakar & Sjur Baardsen & Gudbrand Lien, 2012. "A New Method for Estimating Market Power with an Application to Norwegian Sawmilling," Review of Industrial Organization, Springer, vol. 40(2), pages 109-129, March.

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