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Properties of inefficiency indexes on 〈input, output〉 space

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  • R. Russell
  • William Schworm

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  • R. Russell & William Schworm, 2011. "Properties of inefficiency indexes on 〈input, output〉 space," Journal of Productivity Analysis, Springer, vol. 36(2), pages 143-156, October.
    • Handle: RePEc:kap:jproda:v:36:y:2011:i:2:p:143-156
    DOI: 10.1007/s11123-011-0209-3
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    1. Jean-Marc Bonnisseau & Bertrand Crettez, 2007. "On the Characterization of Efficient Production Vectors," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(2), pages 213-223, May.
    2. Monhein, P., 1976. "Integer Programming and related areas -- a classified bibliography : Ed. by C. Kastning, Lecture Notes in Economics and Mathematical Systems, Operations Research No. 128, Springer-Verlag, Berlin-Heide," Engineering and Process Economics, Elsevier, vol. 1(4), pages 340-341, December.
    3. Diewert, W Erwin, 1983. " The Measurement of Waste within the Production Sector of an Open Economy," Scandinavian Journal of Economics, Wiley Blackwell, vol. 85(2), pages 159-179.
    4. R. Russell & William Schworm, 2009. "Axiomatic foundations of efficiency measurement on data-generated technologies," Journal of Productivity Analysis, Springer, vol. 31(2), pages 77-86, April.
    5. Fare, Rolf & Knox Lovell, C. A., 1978. "Measuring the technical efficiency of production," Journal of Economic Theory, Elsevier, vol. 19(1), pages 150-162, October.
    6. Pastor, J. T. & Ruiz, J. L. & Sirvent, I., 1999. "An enhanced DEA Russell graph efficiency measure," European Journal of Operational Research, Elsevier, vol. 115(3), pages 596-607, June.
    7. R. G. Chambers & Y. Chung & R. Färe, 1998. "Profit, Directional Distance Functions, and Nerlovian Efficiency," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 351-364, August.
    8. Robert Russell, R., 1990. "Continuity of measures of technical efficiency," Journal of Economic Theory, Elsevier, vol. 51(2), pages 255-267, August.
    9. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
    10. Tone, Kaoru, 2001. "A slacks-based measure of efficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 130(3), pages 498-509, May.
    11. Pastor, Jesús T. & Aparicio, Juan, 2010. "A note on "A directional slacks-based measure of technical inefficiency"," Socio-Economic Planning Sciences, Elsevier, vol. 44(3), pages 174-175, September.
    12. R. Banker & W. Cooper & E. Grifell-Tajté & Jesús Pastor & Paul Wilson & Eduardo Ley & C. Lovell, 1994. "Validation and generalization of DEA and its uses," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 2(2), pages 249-314, December.
    13. William Cooper & Kyung Park & Jesus Pastor, 1999. "RAM: A Range Adjusted Measure of Inefficiency for Use with Additive Models, and Relations to Other Models and Measures in DEA," Journal of Productivity Analysis, Springer, vol. 11(1), pages 5-42, February.
    14. Steven Levkoff & R. Russell & William Schworm, 2012. "Boundary problems with the “Russell” graph measure of technical efficiency: a refinement," Journal of Productivity Analysis, Springer, vol. 37(3), pages 239-248, June.
    15. Charnes, A. & Cooper, W. W. & Golany, B. & Seiford, L. & Stutz, J., 1985. "Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 91-107.
    16. Robert Russell, R., 1985. "Measures of technical efficiency," Journal of Economic Theory, Elsevier, vol. 35(1), pages 109-126, February.
    17. Rolf Färe & Shawna Grosskopf, 2000. "Theory and Application of Directional Distance Functions," Journal of Productivity Analysis, Springer, vol. 13(2), pages 93-103, March.
    18. Walter Briec & Philippe Gardères, 2004. "Generalized benefit functions and measurement of utility," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 60(1), pages 101-123, September.
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    Citations

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    Cited by:

    1. Chambers, Christopher P. & Miller, Alan D., "undated". "Inefficiency," Working Papers WP2011/14, University of Haifa, Department of Economics, revised 30 Nov 2011.
    2. Kristiaan Kerstens & Jafar Sadeghi & Ignace Van de Woestyne, 2020. "Plant capacity notions in a non-parametric framework: a brief review and new graph or non-oriented plant capacities," Annals of Operations Research, Springer, vol. 288(2), pages 837-860, May.
    3. Briec, Walter & Fukuyama, Hirofumi & Ravelojaona, Paola, 2021. "Exponential distance function and duality theory," European Journal of Operational Research, Elsevier, vol. 293(3), pages 1002-1014.
    4. Halická, Margaréta & Trnovská, Mária, 2021. "A unified approach to non-radial graph models in data envelopment analysis: common features, geometry, and duality," European Journal of Operational Research, Elsevier, vol. 289(2), pages 611-627.
    5. Murty, Sushama & Robert Russell, R. & Levkoff, Steven B., 2012. "On modeling pollution-generating technologies," Journal of Environmental Economics and Management, Elsevier, vol. 64(1), pages 117-135.
    6. Diewert, W. Erwin & Fox, Kevin J., 2017. "Decomposing productivity indexes into explanatory factors," European Journal of Operational Research, Elsevier, vol. 256(1), pages 275-291.
    7. Kapelko, M. & Horta, I.M. & Camanho, A.S. & Oude Lansink, A., 2015. "Measurement of input-specific productivity growth with an application to the construction industry in Spain and Portugal," International Journal of Production Economics, Elsevier, vol. 166(C), pages 64-71.
    8. Magdalena Kapelko, 2017. "Dynamic versus static inefficiency assessment of the Polish meat‐processing industry in the aftermath of the European Union integration and financial crisis," Agribusiness, John Wiley & Sons, Ltd., vol. 33(4), pages 505-521, September.
    9. Sushama Murty & R. Robert Russell, "undated". "Bad Outputs," Centre for International Trade and Development, Jawaharlal Nehru University, New Delhi Discussion Papers 17-06, Centre for International Trade and Development, Jawaharlal Nehru University, New Delhi, India.
    10. Kapelko, Magdalena & Oude Lansink, Alfons & Stefanou, Spiro E., 2015. "Analyzing the impact of investment spikes on dynamic productivity growth," Omega, Elsevier, vol. 54(C), pages 116-124.
    11. Steven Levkoff & R. Russell & William Schworm, 2012. "Boundary problems with the “Russell” graph measure of technical efficiency: a refinement," Journal of Productivity Analysis, Springer, vol. 37(3), pages 239-248, June.
    12. Briec, Walter & Dumas, Audrey & Kerstens, Kristiaan & Stenger, Agathe, 2022. "Generalised commensurability properties of efficiency measures: Implications for productivity indicators," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1481-1492.
    13. Walter Briec & Laurent Cavaignac & Kristiaan Kerstens, 2020. "Input Efficiency Measures: A Generalized, Encompassing Formulation," Operations Research, INFORMS, vol. 68(6), pages 1836-1849, November.
    14. Antonio Peyrache & Maria C. A. Silva, 2022. "Efficiency and Productivity Analysis from a System Perspective: Historical Overview," Springer Books, in: Duangkamon Chotikapanich & Alicia N. Rambaldi & Nicholas Rohde (ed.), Advances in Economic Measurement, chapter 0, pages 173-230, Springer.
    15. R. Robert Russell & William Schworm, 2018. "Technological inefficiency indexes: a binary taxonomy and a generic theorem," Journal of Productivity Analysis, Springer, vol. 49(1), pages 17-23, February.
    16. Mette Asmild & Tomas Baležentis & Jens Leth Hougaard, 2016. "Multi-directional productivity change: MEA-Malmquist," Journal of Productivity Analysis, Springer, vol. 46(2), pages 109-119, December.
    17. Christopher P. Chambers & Alan D. Miller, 2014. "Inefficiency Measurement," American Economic Journal: Microeconomics, American Economic Association, vol. 6(2), pages 79-92, May.

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    More about this item

    Keywords

    Technical efficiency indexes; Technical efficiency axioms; C43; C61; D24;
    All these keywords.

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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