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A Scale Elasticity Measure for Directional Distance Function and its Dual: Theory and DEA Estimation

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Abstract

In this paper we focus on scale elasticity measure based on directional distance function for multi-output-multi-input technologies, explore its fundamental properties and show its equivalence with the input oriented and output oriented scale elasticity measures. We also establish duality relationship between the scale elasticity measure based on the directional distance function with scale elasticity measure based on the profit function. Finally, we discuss the estimation issues of the scale elasticity based on the directional distance function via the DEA estimator.

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  • Valentin Zelenyuk, 2012. "A Scale Elasticity Measure for Directional Distance Function and its Dual: Theory and DEA Estimation," CEPA Working Papers Series WP072012, School of Economics, University of Queensland, Australia.
  • Handle: RePEc:qld:uqcepa:83
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    File URL: http://www.uq.edu.au/economics/cepa/docs/WP/WP072012.pdf
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    Cited by:

    1. Valentin Zelenyuk, 2014. "Scale efficiency and homotheticity: equivalence of primal and dual measures," Journal of Productivity Analysis, Springer, vol. 42(1), pages 15-24, August.
    2. Carvalho, Pedro & Marques, Rui Cunha, 2014. "Computing economies of vertical integration, economies of scope and economies of scale using partial frontier nonparametric methods," European Journal of Operational Research, Elsevier, vol. 234(1), pages 292-307.
    3. Sahoo, Biresh K. & Zhu, Joe & Tone, Kaoru & Klemen, Bernhard M., 2014. "Decomposing technical efficiency and scale elasticity in two-stage network DEA," European Journal of Operational Research, Elsevier, vol. 233(3), pages 584-594.
    4. Emir Malikov & Subal C. Kumbhakar & Mike G. Tsionas, 2016. "A Cost System Approach to the Stochastic Directional Technology Distance Function with Undesirable Outputs: The Case of us Banks in 2001–2010," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(7), pages 1407-1429, November.
    5. Sahoo, Biresh K & Khoveyni, Mohammad & Eslami, Robabeh & Chaudhury, Pradipta, 2016. "Returns to scale and most productive scale size in DEA with negative data," European Journal of Operational Research, Elsevier, vol. 255(2), pages 545-558.
    6. Tomas Baležentis, 2015. "The Sources of the Total Factor Productivity Growth in Lithuanian Family Farms: A Färe-Primont Index Approach," Prague Economic Papers, University of Economics, Prague, vol. 2015(2), pages 225-241.
    7. Zelenyuk, Valentin, 2015. "Aggregation of scale efficiency," European Journal of Operational Research, Elsevier, vol. 240(1), pages 269-277.
    8. Rogge, Nicky & Simper, Richard & Verschelde, Marijn & Hall, Maximilian, 2015. "An analysis of managerialism and performance in English and Welsh male prisons," European Journal of Operational Research, Elsevier, vol. 241(1), pages 224-235.
    9. Bert Balk & Rolf Färe & Giannis Karagiannis, 2015. "On directional scale elasticities," Journal of Productivity Analysis, Springer, vol. 43(1), pages 99-104, February.
    10. Podinovski, Victor V., 2017. "Returns to scale in convex production technologies," European Journal of Operational Research, Elsevier, vol. 258(3), pages 970-982.
    11. repec:spr:empeco:v:54:y:2018:i:1:d:10.1007_s00181-017-1234-5 is not listed on IDEAS
    12. Mahdi Mirjaberi & Reza Kazemi Matin, 2016. "On the Calculation of Directional Scale Elasticity in Data Envelopment Analysis," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-17, August.

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