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Alternative efficiency measures for multiple-output production

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Abstract

This paper has two main purposes. Firstly, we develop various ways of defining efficiency in the case of multiple output production. We specifically consider the case where some of the outputs are undesirable, such as pollutants. We investigate how these efficiency definitions relate to one another and to other approaches proposed in the literature. Secondly, we examine the behavior of these definitions in two examples of practically relevant size and complexity. One of these involves banking and the other agricultural data. Our findings are basically encouraging. For a given efficiency definition, efficiency rankings are found to be informative, despite the considerable uncertainty in the inference on efficiencies. It is, however, important for the researcher to select an efficiency concept appropriate to the particular issue under study, since different efficiency definitions can lead to quite different conclusions.

Suggested Citation

  • Carmen Fernandez & Gary Koop & Mark F J Steel, 2003. "Alternative efficiency measures for multiple-output production," ESE Discussion Papers 65, Edinburgh School of Economics, University of Edinburgh.
  • Handle: RePEc:edn:esedps:65
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    Cited by:

    1. Kortelainen, Mika, 2008. "Estimation of semiparametric stochastic frontiers under shape constraints with application to pollution generating technologies," MPRA Paper 9257, University Library of Munich, Germany.
    2. Anthony Glass & Karligash Kenjegalieva & Robin Sickles, 2013. "How efficiently do U.S. cities manage roadway congestion?," Journal of Productivity Analysis, Springer, vol. 40(3), pages 407-428, December.
    3. Koop G., 2002. "Comparing the Performance of Baseball Players: A Multiple-Output Approach," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 710-720, September.
    4. Gary Koop & Lise Tole, 2008. "What is the environmental performance of firms overseas? An empirical investigation of the global gold mining industry," Journal of Productivity Analysis, Springer, vol. 30(2), pages 129-143, October.
    5. Kumbhakar, Subal C. & Tsionas, Efthymios G., 2016. "The good, the bad and the technology: Endogeneity in environmental production models," Journal of Econometrics, Elsevier, vol. 190(2), pages 315-327.
    6. Sickles, Robin C., 2005. "Panel estimators and the identification of firm-specific efficiency levels in parametric, semiparametric and nonparametric settings," Journal of Econometrics, Elsevier, vol. 126(2), pages 305-334, June.
    7. Carta, Alessandro & Steel, Mark F.J., 2012. "Modelling multi-output stochastic frontiers using copulas," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3757-3773.
    8. Morakinyo Adetutu & Anthony Glass & Karligash Kenjegalieva & Robin Sickles, 2015. "The effects of efficiency and TFP growth on pollution in Europe: a multistage spatial analysis," Journal of Productivity Analysis, Springer, vol. 43(3), pages 307-326, June.
    9. Ferreira, Jose T.A.S. & Steel, Mark F.J., 2007. "Model comparison of coordinate-free multivariate skewed distributions with an application to stochastic frontiers," Journal of Econometrics, Elsevier, pages 641-673.
    10. Tecles, Patricia Langsch & Tabak, Benjamin M., 2010. "Determinants of bank efficiency: The case of Brazil," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1587-1598, December.
    11. Malikov, Emir, 2016. "Estimating Multi-Product Production Functions and Productivity using Control Functions," 2016 Annual Meeting, July 31-August 2, 2016, Boston, Massachusetts 235108, Agricultural and Applied Economics Association.
    12. Atkinson, Scott E. & Tsionas, Mike G., 2016. "Directional distance functions: Optimal endogenous directions," Journal of Econometrics, Elsevier, vol. 190(2), pages 301-314.
    13. repec:spr:empeco:v:54:y:2018:i:1:d:10.1007_s00181-016-1124-2 is not listed on IDEAS
    14. Areal, Francisco J & Tiffin, Richard & Balcombe, Kelvin, 2010. "Provision of an environmental output within a multi-output distance function approach," MPRA Paper 25051, University Library of Munich, Germany.
    15. Neophyta Empora & Theofanis Mamuneas, 2011. "The Effect of Emissions on U.S. State Total Factor Productivity Growth," Review of Economic Analysis, Rimini Centre for Economic Analysis, vol. 3(2), pages 149-172, October.
    16. Emir Malikov & Subal C. Kumbhakar & Efthymios G. Tsionas, 2015. "Bayesian Approach to Disentangling Technical and Environmental Productivity," Econometrics, MDPI, Open Access Journal, vol. 3(2), pages 1-23, June.
    17. Yu, Biying & Tian, Yaming & Zhang, Junyi, 2015. "A dynamic active energy demand management system for evaluating the effect of policy scheme on household energy consumption behavior," Energy, Elsevier, vol. 91(C), pages 491-506.
    18. Lambarraa, Fatima, 2011. "Dynamic Efficiency Analysis of Spanish Outdoor and Greenhouse Horticulture Sector," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 114408, European Association of Agricultural Economists.
    19. Neophyta Empora, 2017. "Air pollution spillovers and U.S. state productivity growth," University of Cyprus Working Papers in Economics 06-2017, University of Cyprus Department of Economics.
    20. Tsionas, Efthymios & Assaf, A. George & Gillen, David & Mattila, Anna S., 2017. "Modeling technical and service efficiency," Transportation Research Part B: Methodological, Elsevier, vol. 96(C), pages 113-125.
    21. K Hervé Dakpo, 2016. "On modeling pollution-generating technologies: a new formulation of the by-production approach," Working Papers SMART - LERECO 16-06, INRA UMR SMART-LERECO.
    22. Alphonse G. Singbo & Bruno Larue, 2014. "Scale Economies and Technical Efficiency of Quebec Dairy Farms," Cahiers de recherche CREATE 2014-7, CREATE.
    23. Emir Malikov & Raushan Bokusheva & Subal C. Kumbhakar, 2018. "A hedonic-output-index-based approach to modeling polluting technologies," Empirical Economics, Springer, vol. 54(1), pages 287-308, February.
    24. Collier, Trevor & Johnson, Andrew L. & Ruggiero, John, 2011. "Technical efficiency estimation with multiple inputs and multiple outputs using regression analysis," European Journal of Operational Research, Elsevier, vol. 208(2), pages 153-160, January.

    More about this item

    Keywords

    banking; Bayesian inference; dairy farms; pollution; productivity; separability;

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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