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Estimating Non-Concave Metafrontiers Using Data Envelope Analysis

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  • Breustedt, Gunnar
  • Francksen, Tammo
  • Latacz-Lohmann, Uwe

Abstract

In this article we propose non-concave metafrontiers for estimating the inefficiency among production functions which do not necessarily belong to the same technology. In this case, estimating a joint production by literature approaches might be inappropriate. We call this inefficiency technological inefficiency and suggest Data Envelopment Analysis to construct a metafrontier production function which consists only of parts of different (group) frontier production functions. Thus, in contrast to the common literature our metafrontier does not need any assumptions additional to the group production functions. We illustrate our approach by means of a large sample of differently diversified crop farms. Results show that the literature approach overestimates the technological inefficiency in our sample for 75% of the observations and on average up to 7%-points in a diversification class of farms.

Suggested Citation

  • Breustedt, Gunnar & Francksen, Tammo & Latacz-Lohmann, Uwe, 2007. "Estimating Non-Concave Metafrontiers Using Data Envelope Analysis," 47th Annual Conference, Weihenstephan, Germany, September 26-28, 2007 7600, German Association of Agricultural Economists (GEWISOLA).
    • Handle: RePEc:ags:gewi07:7600
    DOI: 10.22004/ag.econ.7600
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    References listed on IDEAS

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    1. Alfons Oude Lansink & Ky–sti Pietola, 2002. "Effciency and productivity of conventional and organic farms in Finland 1994--1997," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 29(1), pages 51-66, March.
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    4. George Battese & D. Rao & Christopher O'Donnell, 2004. "A Metafrontier Production Function for Estimation of Technical Efficiencies and Technology Gaps for Firms Operating Under Different Technologies," Journal of Productivity Analysis, Springer, vol. 21(1), pages 91-103, January.
    5. George E. Battese & D. S. Prasada Rao, 2002. "Technology Gap, Efficiency, and a Stochastic Metafrontier Function," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 1(2), pages 87-93, August.
    6. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
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    Cited by:

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    2. Arjomandi, Amir & Dakpo, K. Hervé & Seufert, Juergen Heinz, 2018. "Have Asian airlines caught up with European Airlines? A by-production efficiency analysis," Transportation Research Part A: Policy and Practice, Elsevier, vol. 116(C), pages 389-403.

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