Measures of inefficiency in data envelopment analysis and stochastic frontier estimation

European Journal of Operational Research

Volumn 99, Issue 1, 1997, Pages 72-88

  Cooper, W W ^a   Tone, K ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b SAITAMA UNIVERSITY   (Japan)

Author keywords

Data envelopment analysis; Measures of inefficiency; Regression analysis

Indexed keywords

COMPUTER SIMULATION; OPERATIONS RESEARCH; RANDOM PROCESSES; REGRESSION ANALYSIS;

DATA ENVELOPMENT ANALYSIS; MEASURES OF INEFFICIENCY; STOCHASTIC FRONTIER;

OPTIMIZATION;

EID: 0031145067     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(96)00384-0     Document Type: Article

References (46)

1. Ahn, T., Charnes, A., and Cooper, W.W., "A note on the efficiency characterizations obtained in different DEA models", Soci-Economic Planning Sciences 22 (1988) 253-257.
2. Aida, K., Cooper, W.W., and Pastor, J.T., "Evaluating water supply services in Japan with RAM-A range-adjusted measure of inefficiency", Omega (1997), to appear.
3. Aigner, D., and Chu, S., "On estimating the industry production function", American Economic Review 58 (1968) 826-839.
4. Ali, I., and Seiford, L., "Translation invariance in data envelopment analysis", Operations Research Letters 9 (1990) 403-4.
5. 2 Research Affects Public Policy and Business Markets, Kluwer Academic Publishers, New York, 1997.
6. th Birthday, Kluwer Academic Press, forthcoming, 1996.
7. Arnold, V., Bardhan, I., Cooper, W.W., and Kumbhakar, S., "New uses of DEA and statistical regressions for efficiency evaluation and estimation - With an illustrative application to public secondary schools in Texas", Annals of Operations Research (1996) forthcoming.
8. Banker, R.D., Chang, H., and Cooper, W.W., "Simulation studies of efficiency and returns to scale and misspecification with nonlinear functions in DEA", The Annals of Operations Research (1996) to appear.
9. Banker, R.D., Charnes, A., and Cooper, W.W., "Models for estimating technical and scale efficiencies", Management Science 30 (1984) 1078-1092.
10. Banker, R.D., and Cooper, W.W., "Validation and generalization of DEA and its uses", TOP 2, Sociedad Española de Estadistica e Investigación Operativa, Madrid, Spain, 1994, 249-297..
11. Bardhan, I., "DEA and stochastic frontier regression approaches for evaluating the efficiency of public sector activities applications of public school performances in Texas", Ph.D. Thesis, The University of Texas at Austin, Graduate School of Business, 1995; Also available from Ann Arbor, Mich., University Microfilms, Inc.
12. Bardhan, I., Bowlin, W.F., Cooper, W.W., and Sueyoshi, T., "Models for efficiency dominance in DEA. Part I: Additive models and MED measures; Part II: Free disposal hull (FDH) and Russell measure (RM) approaches", Journal of the Operations Research Society of Japan 39 (1996) 322-332; 333-344.
13. Bardhan, I., Cooper, W.W., and Kumbhakar, S.C., "A simulation study of joint uses of data envelopment analysis and statistical regressions for production function estimation and efficiency evaluation", Journal of Productivity Analysis (1997) forthcoming.
14. Brockett, P.L., Charnes, A., Cooper, W.W., Learner, D.B., and Phillips, F.Y., "Information theory as a unifying statistical approach in marketing research", European Journal of Operational Research 83 (1995) 310-329.
15. Brockett, P.L., and Golany, B., "Determining programmatic differences in DEA", Management Science 42 (1996) 466-472.
16. Chaffai, M.E., "Estimating input-specific technical inefficiency: The case of the Tunisian banking industry", European Journal of Operational Research 98 (1997) 314-331.
17. Charnes, A., and Cooper, W.W., Management Models and Industrial Applications of Linear Programming, John Wiley and Sons, Inc., New York, 1961.
18. Charnes, A., and Cooper, W.W., "Programming with linear fractional functionals", Naval Research Logistics Quarterly 8 (1962) 181-186.
19. Charnes, A., Cooper, W.W., Golany, B., Seiford, L., and Stutz, J., "Foundations of data envelopment analysis and Pareto-Koopmans empirical production functions", Journal of Econometrics 30 (1975) 91-107.
20. Charnes, A., Cooper, W.W., and Rhodes, E., "Measuring efficiency of decision making units", European Journal of Operational Research 1 (1977) 429.
21. Charnes, A., Cooper, W.W., and Schinnar, A., "An extended Cobb-Douglas form for use in production economics", in: T.J. Kaul and J.K. Sengupta (eds.), Essays in Honor of Karl A. Fox, North-Holland, Amsterdam, 1991.
22. Charnes, A., Cooper, W.W., and Thrall, R.M., "A structure for classifying and characterizing inefficiencies in data envelopment analysis", Journal of Productivity Analysis 2 (1991) 197-237.
23. Chilingerian, J.A., "Exploring why some physicians are more efficient: Taking DEA inside the hospital", in: A. Charnes, W.W. Cooper, A. Lewin and L. Seiford (eds.), Data Envelopment Analysis: Theory, Methodology and Applications, Kluwer Academic Publishers, Norwell, MA, 1994.
24. Cook, W.D., and Kress, M., Ordinal Information and Preference Structures Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1992.
25. Cooper, W.W., and Pastor, J.T., "Generalized efficiency measures (GEMs) and model relations for use in DEA", Journal of Productivity Analysis (submitted).
26. Cooper, W.W., Thompson, R.G., and R.M. Thrall, "Introduction: Extensions and new development in DEA" Annals of Operation Research 66 (1996) 3-45.
27. Cooper, W.W., Tone, K., Takamori, H., and Sueyoshi, T., "Data envelopment analysis: Survey and interpretations", Communications of the Operations Research Society of Japan (1994); in Japanese, English translations can be secured from the authors.
28. de Borger, B., and Kerstens, K., "Radial and nonradial measures of technical efficiency: An empirical illustration for Belgian local government", Journal of Productivity Analysis 1 (1996) 41-62.
29. Färe, R., Grosskopf, S., and Lovell, C.A.K., The Measurement of Efficiency of Production, Kluwer-Nijhoff Publishing, 1985.
30. Ferrier, G.D., and Lovell, C.A.K., "Measuring cost efficiency in banking: Econometric and linear programming evidence", Journal of Econometrics 46 (1990) 229-244.
31. Ganley, J.A., and Cubbin, J.S., Public Sector Efficiency Measurement, North-Holland, Amsterdam, 1992.
32. Golany, B., "A note on including ordinal relations among multipliers to be used in data envelopment analysis", Management Science 34 (1988) 1029-1032
33. Golany, B., and Thore, S., "The competitiveness of nations", in: W.W. Cooper, D. Gibson, F. Phillips, S. Thore and A. Whinston (eds.), IMPACT: Essays in Honor of George Kozmetsky, Kluwer Academic Press, Norwall, MA, 1997, forthcoming.
34. Gong, B.H., and Sickles, R., "Finite sample evidence on the performance of stochastic frontiers and data envelopment analysis using panel data", Journal of Econometrics 51 (1990) 259-284.
35. Gong, B.H., and Sickles, R., "Finite sample evidence on the performance of stochastic frontier models using panel data", The Journal of Productivity Analysis 1 (1989) 229-261.
36. Green, R.H., Doyle, J.R., and Cook, W.D., "Preference voting and project ranking using DEA and cross-evaluation", European Journal of Operational Research 90 (1996) 461-472.
37. Green, W.H., "The econometric approach to efficiency analysis", in: H.O. Fried, C.A.K. Lovell and S.S. Schmidt (eds.), The Measurement of Productive Efficiency, Oxford University Press, New York, 1993.
38. Kumbhakar, S.C., "Estimation of input-specific technical and allocative inefficiency relative to stochastic production and cost estimations", Oxford Economic Papers 40 (1988) 535-549.
39. Lovell, C.A.K., and Pastor, J.T., "Macroeconomic performance of sixteen Ibero-American countries over the period 1980-1981", Working paper, University of Georgia, Department of Economics, Athens, GA, 1994.
40. Lovell, C.A.K., and Pastor, J.T., "Units invariant and translation invariant DEA models", Operations Research Letters (1995).
41. Mendoza, M.N.F., "Essays in production theory: Efficiency measurement and comparative statistics." Ph.D. Thesis, University of British Columbia, Vancouver, British Columbia, Canada, 1989.
42. Rhodes, E., "Data envelopment analysis and related approaches for measuring the efficiency of decision making units with an application to program follow through in U.S. public school education, Ph.D. Thesis Pittsburgh, PA, Carnegie Mellon University, School of Urban and Public Affairs, 1978; Also available from Ann Arbor, Mich., University Microfilms, Inc.
43. Seiford, L.M., "A DEA bibliography (1978-1992)", in: A. Charnes, W.W. Cooper, A. Lewin and L. Seiford (eds.), Data Envelopment Analysis: Theory, Methodology and Applications, Kluwer Academic Publishers, Boston, 1994.
44. Thompson, R.G., Dharmapala, P.S., and Thrall, R.M., "DEA sensitivity analysis of efficiency with applications to Kansas farming and illinois coal mining", in: A. Charnes, W.W. Cooper, A. Lewin and L. Seiford (eds.), Data Envelopment Analysis: Theory, Methodology and Applications, Kluwer Academic Publishers, New York, 1994.
45. Thrall, R.M., "Duality, classification and slacks in DEA", Annals of Operations Research 66 (1996).
46. Yu, G., Wei, Q., and Brockett, P.L., "A generalized data envelopment analysis model - A unification and extension of existing methods for efficiency analysis of decision making units", Annals of Operations Research 66 (1996).