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A new approach to stochastic frontier estimation: DEA+

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  • Dieter Gstach

    () (Department of Economics, Vienna University of Economics & B.A.)

Abstract

The outcome of a production process might not only deviate from a theoretical maximum due to inefficiency, but also because of non-controllable influences. This raises the issue of reliability of Data Envelopment Analysis in noisy environments. I propose to assume an i.i.d. data generating process with bounded noise component, so that the following approach is feasible: Use DEA to estimate a pseudo frontier first (nonparametric shape estimation). Next apply a ML- technique to the DEA-estimated efficiencies, to estimate the scalar value by which this pseudo-frontier must be shifted downward to get the true production frontier (location estimation). I prove, that this approach yields consistent estimates of the true frontier.

Suggested Citation

  • Dieter Gstach, 1996. "A new approach to stochastic frontier estimation: DEA+," Department of Economics Working Papers wuwp039, Vienna University of Economics and Business, Department of Economics.
  • Handle: RePEc:wiw:wiwwuw:wuwp039
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    References listed on IDEAS

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    1. Sueyoshi, Toshiyuki, 1994. "Stochastic frontier production analysis: Measuring performance of public telecommunications in 24 OECD countries," European Journal of Operational Research, Elsevier, vol. 74(3), pages 466-478, May.
    2. SIMAR , Léopold, 1995. "Aspects of Statistical Analysis in DEA-Type Frontier Models," CORE Discussion Papers 1995061, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. KNEIP, Alois & SIMAR, Léopold, 1995. "A General Framework for Frontier Estimation with Panel Data," CORE Discussion Papers 1995060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Greene, William H., 1980. "Maximum likelihood estimation of econometric frontier functions," Journal of Econometrics, Elsevier, vol. 13(1), pages 27-56, May.
    5. Kittelsen,S.A.C., 1999. "Monte Carlo simulations of DEA efficiency measures and hypothesis tests," Memorandum 09/1999, Oslo University, Department of Economics.
    6. Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July.
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    Cited by:

    1. Eckhard Hein, 2010. "Shareholder Value Orientation, Distribution And Growth-Short- And Medium-Run Effects In A Kaleckian Model," Metroeconomica, Wiley Blackwell, vol. 61(2), pages 302-332, May.
    2. Gerlinde Fellner & Matthias Sutter, 2009. "Causes, Consequences, and Cures of Myopic Loss Aversion - An Experimental Investigation," Economic Journal, Royal Economic Society, vol. 119(537), pages 900-916, April.
    3. Theresa Grafeneder-Weissteiner & Klaus Prettner, 2009. "Agglomeration and population ageing in a two region model of exogenous growth," VID Working Papers 0901, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
    4. Engelbert Stockhammer & Paul Ramskogler, 2009. "Post-Keynesian economics How to move forward," European Journal of Economics and Economic Policies: Intervention, Edward Elgar Publishing, vol. 6(2), pages 227-246.
    5. Theresa Grafeneder-Weissteiner, 2010. "Demographic change, growth and agglomeration," Department of Economics Working Papers wuwp132, Vienna University of Economics and Business, Department of Economics.
    6. Grafeneder-Weissteiner, Theresa & Prettner, Klaus, 2010. "Agglomeration processes in aging societies," Department of Economics Working Paper Series 1620, WU Vienna University of Economics and Business.
    7. Badinger, Harald & Kubin, Ingrid, 2007. "Vom kurzfristigen zum mittelfristigen Gleichgewicht in einer offenen Volkswirtschaft unter fixen und flexiblen Wechselkursen," Department of Economics Working Paper Series 666, WU Vienna University of Economics and Business.
    8. Hagemann, Harald, 2010. "L. Albert Hahn's Economic Theory of Bank Credit," Department of Economics Working Paper Series 2948, WU Vienna University of Economics and Business.
    9. Pasquale Commendatore & Ingrid Kubin & Carmelo Petraglia, 2009. "Footloose Capital and Productive Public Services," Chapters,in: Geography, Structural Change and Economic Development, chapter 1 Edward Elgar Publishing.
    10. Aleksandra Riedl & Silvia Rocha-Akis, 2007. "Testing the tax competition theory: How elastic are national tax bases in western Europe?," Department of Economics Working Papers wuwp112, Vienna University of Economics and Business, Department of Economics.
    11. Fellner, Gerlinde & Sutter, Matthias, 2008. "Causes, consequences, and cures of myopic loss aversion - an experimental investigation," Department of Economics Working Paper Series 244, WU Vienna University of Economics and Business.
    12. Engelbert Stockhammer & Lucas Grafl, 2010. "Financial Uncertainty and Business Investment," Review of Political Economy, Taylor & Francis Journals, vol. 22(4), pages 551-568.
    13. Degla, Pamphile, 0. "Technical Efficiency in Producing Cashew Nuts in Benin’s Savanna Zone, West Africa," Quarterly Journal of International Agriculture, Humboldt-Universität zu Berlin, vol. 54.
    14. Grandner, Thomas, 2007. "Product differentiation in a linear city and wage bargaining," Department of Economics Working Paper Series 1158, WU Vienna University of Economics and Business.
    15. Paul Ramskogler, 2007. "Uncertainty, market power and credit rationing," Department of Economics Working Papers wuwp105, Vienna University of Economics and Business, Department of Economics.
    16. Steidl, Annemarie & Stockhammer, Engelbert, 2007. "Coming and leaving. Internal mobility in late Imperial Austria," Department of Economics Working Paper Series 768, WU Vienna University of Economics and Business.
    17. Özlem Onaran, 2007. "International financial markets and fragility in the Eastern Europe: "can it happen" here?," Department of Economics Working Papers wuwp108, Vienna University of Economics and Business, Department of Economics.
    18. Currie, Martin & Kubin, Ingrid, 2005. "Fixed price dynamics versus flexible price dynamics," Department of Economics Working Paper Series 114, WU Vienna University of Economics and Business.
    19. Engelbert Stockhammer & Paul Ramskogler, 2007. "Uncertainty and exploitation in history," Department of Economics Working Papers wuwp104, Vienna University of Economics and Business, Department of Economics.
    20. Rocha-Akis, Silvia, 2006. "Labour tax policies and strategic offshoring under unionised oligopoly," Department of Economics Working Paper Series 394, WU Vienna University of Economics and Business.
    21. Grafeneder-Weissteiner, Theresa, 2010. "Demographic change, growth and agglomeration," Department of Economics Working Paper Series 902, WU Vienna University of Economics and Business.
    22. Smet, Koen, 2007. "Stuck in the middle? The structure of trade between South Africa and its major trading partners," Department of Economics Working Paper Series 876, WU Vienna University of Economics and Business.
    23. Riedl, Aleksandra & Rocha-Akis, Silvia, 2007. "Testing the tax competition theory: How elastic are national tax bases in western Europe?," Department of Economics Working Paper Series 860, WU Vienna University of Economics and Business.
    24. Figerl, Jürgen & Grandner, Thomas, 2008. "Job quality and wages in duopsony," Department of Economics Working Paper Series 1304, WU Vienna University of Economics and Business.

    More about this item

    Keywords

    Stochastic DEA; Consistency; Semi-Parametric Frontier Estimation; MLE;

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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