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Alternative Approaches to Estimate Returns to Scale in DEA- Models

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  • Löthgren, Mickael

    ()
    (Department of Economic Statistics)

  • Tambour, Magnus

    ()
    (Centre for Health Economics)

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    Abstract

    This paper presents a number of approaches to estimate returns to scale properties of general multiple-input muliple-output technologies. Both qualitative scale efficiency-properties and quantitative scale elasticity-properties are covered. The estimation approaches considered are based on data envelopment analysis (DEA)-models using primal production data on inputs and outputs. We propose an approach to estimate scale elasticity based on the primal efficiency problem. This alternative approach is derived as a direct approximation of the differentials of the efficiency measures in the scale elasticity definition. The different approaches to estimate scale efficiency and scale elasticity are exemplified and compared using a small dataset.

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    Bibliographic Info

    Paper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 90.

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    Length: 23 pages
    Date of creation: Jan 1996
    Date of revision:
    Handle: RePEc:hhs:hastef:0090

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    Related research

    Keywords: Data envelopment analysis; scale efficiency; scale elasticity; dual linear programming;

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    References

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    1. Chang, Kuo-Ping & Guh, Yeah-Yuh, 1991. "Linear production functions and the data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 52(2), pages 215-223, May.
    2. Forsund, Finn R & Hjalmarsson, Lennart, 1979. "Generalised Farrell Measures of Efficiency: An Application to Milk Processing in Swedish Dairy Plants," Economic Journal, Royal Economic Society, vol. 89(354), pages 294-315, June.
    3. Fare, Rolf & Grosskopf, Shawna, 1994. "Estimation of returns to scale using data envelopment analysis: A comment," European Journal of Operational Research, Elsevier, vol. 79(2), pages 379-382, December.
    4. Banker, Rajiv D., 1984. "Estimating most productive scale size using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 17(1), pages 35-44, July.
    5. Joe Zhu & Zhao-Han Shen, 1995. "A discussion of testing DMUs' returns to scale," European Journal of Operational Research, Elsevier, vol. 81(3), pages 590-596, March.
    6. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    7. Banker, Rajiv D. & Thrall, R. M., 1992. "Estimation of returns to scale using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 62(1), pages 74-84, October.
    8. 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.
    9. 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.
    10. Forsund, F.R., 1995. "A Note on the Calculation of the Scale Elasticity in DEA Models," Memorandum 34/1995, Oslo University, Department of Economics.
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    Citations

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    Cited by:
    1. KERSTENS, Kristiaan & VANDEN EECKAUT, Philippe, 1997. "Estimating returns to scale using nonparametric deterministic technologies : a new method based on goodness-of-fit," CORE Discussion Papers 1997013, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Simar, Leopold & Wilson, Paul W., 2002. "Non-parametric tests of returns to scale," European Journal of Operational Research, Elsevier, vol. 139(1), pages 115-132, May.
    3. Malgorzata Pawlowska, 2003. "The Impact of M&A on Technical Efficiency, Scale Efficiency and Productivity Change in the Polish Banking Sector: a Non-Parametric Approach," National Bank of Poland Working Papers 29, National Bank of Poland, Economic Institute.

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