Estimating returns to scale using non-parametric deterministic technologies: A new method based on goodness-of-fit

European Journal of Operational Research

Volumn 113, Issue 1, 1999, Pages 206-214

  Kerstens, Kristiaan ^a   Vanden Eeckaut, Philippe ^b  

^a UNIVERSITÉ CATHOLIQUE DE LILLE   (France)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

DEA; FDH; Returns to scale

Indexed keywords

APPROXIMATION THEORY; DATA REDUCTION; MATHEMATICAL MODELS;

DATA ENVELOPMENT ANALYSIS (DEA); FREE DISPOSAL HULL (FDH); GOODNESS-OF-FIT METHOD; RETURNS TO SCALE;

PRODUCTION CONTROL;

EID: 0033079207     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(97)00428-1     Document Type: Article

References (39)

1. Banker R. Estimating most productive scale size using data envelopment analysis. European Journal of Operational Research. 17(1):1984;35-44.
2. Banker R. Hypothesis test using data envelopment analysis. Journal of Productivity Analysis. 7(2/3):1996;139-159.
3. Banker R., Thrall R. Estimation of returns to scale using data envelopment analysis. European Journal of Operational Research. 62(1):1992;74-84.
4. Banker R., Bardhan I., Cooper W. A note on returns to scale in DEA. European Journal of Operational Research. 88(3):1996;583-585.
5. Banker R., Chang H., Cooper W. Equivalence and implementation of alternative methods for determining returns to scale in data envelopment analysis. European Journal of Operational Research. 89(3):1996;473-481.
6. Banker R., Charnes A., Cooper W. Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science. 30(9):1984;1078-1092.
7. Bauer P., Hancock D. The efficiency of the federal reserve in providing check processing services. Journal of Banking and Finance. 17(2/3):1993;287-311.
8. Bogetoft P. DEA on relaxed convexity assumptions. Management Science. 42(3):1996;457-465.
9. Chang K.-P., Guh Y.-Y. Linear production functions and the data envelopment analysis. European Journal of Operational Research. 52(2):1991;215-223.
10. Charnes A., Cooper W., Rhodes E. Measuring the efficiency of decision making units. European Journal of Operational Research. 2(6):1978;429-444.
11. Chavas J.-P., Cox T. A non-parametric analysis of productivity: The Case of US and Japanese manufacturing. American Economic Review. 80(3):1990;450-464.
12. De Borger B., Kerstens K. Radial and nonradial measures of technical efficiency: an empirical illustration for Belgian local governments using an FDH reference technology. Journal of Productivity Analysis. 7(1):1996;41-62.
13. Deprins, D., Simar, L., Tulkens, H., 1984. Measuring labor-efficiency in post offices, in: Marchand, M., Pestieau, P., Tulkens, H. (Eds.), The Performance of Public Enterprises: Concepts and Measurement. Elsevier, Amsterdam, pp. 243-267.
14. Färe, R., 1988. Fundamentals of Production Theory. Lecture Notes in Economics and Mathematical Systems. Springer Verlag, Berlin.
15. Färe, R., 1997. Determining Returns to Scale in DEA, Discussion Paper 97-10, Department of Economics, Southern Illinois University, Carbondale, IL.
16. Färe R., Grosskopf S. A nonparametric cost approach to scale efficiency. Scandinavian Journal of Economics. 87(4):1985;594-604.
17. Färe R., Grosskopf S. Estimation of returns to scale using data envelopment analysis: A Comment. European Journal of Operational Research. 79(3):1994;379-382.
18. Färe R., Grosskopf S. Nonparametric tests of regularity, Farrell efficiency and goodness-of-fit. Journal of Econometrics. 69(2):1995;415-425.
19. Färe R., Grosskopf S., Lovell C.A.K. The structure of technical efficiency. Scandinavian Journal of Economics. 85(2):1983;181-190.
20. Färe, R., Grosskopf, S., Lovell, C.A.K., 1985. The Measurement of Efficiency of Production. Kluwer Academic Publishers, Boston.
21. Färe, R., Grosskopf, S., Lovell, C.A.K., 1994. Production Frontiers. Cambridge University Press, Cambridge.
22. Farrell M. The measurement of productive efficiency. Journal of the Royal Statistical Society, Series A, 120(3):1957;253-281.
23. Førsund F., Hjalmarsson L. Generalised Farrell measures of efficiency: An application to milk processing in Swedish dairy plants. Economic Journal. 89(354):1979;294-315.
24. Førsund, F., Hjalmarsson, L., 1987. Analyses of Industrial Structure: A Putty-Clay Approach, Almqvist & Wiksell, Stockholm.
25. Førsund F. On the calculation of scale elasticity in DEA models. Journal of Productivity Analysis. 7(2/3):1996;283-302.
26. Fried, H.O., Lovell, C.A.K., Vanden Eeckaut, P., 1995. Service productivity in US credit unions, in: Harker, P.T. (Ed.), The Service Productivity and Quality Challenge. Kluwer Academic Publishers, Boston, pp. 365-390.
27. Ganley, J., Cubbin, J., 1992. Public Sector Efficiency Measurement: Applications of Data Envelopment Analysis. North-Holland, Amsterdam.
28. Kerstens K. Technical efficiency measurement and explanation of French urban transit companies. Transportation Research. 30A(6):1996;431-452.
29. Kerstens, K., Vanden Eeckaut, P., 1997. Distinguishing Technical and Scale Efficiency on Non-Convex and Convex Technologies: An Illustration Using UK Rates Departments, Université Catholique de Lille, Lille (LABORES: mimeo).
30. Löthgren, M., Tambour, M., 1996. Alternative approaches to estimate returns to scale in DEA-models, Working paper 90, Economic Research Institute, Stockholm School of Economics, Stockholm.
31. Lovell, C.A.K., 1993. Production frontiers and productive efficiency, in: Fried, H., Lovell, C.A.K., Schmidt S. (Eds.), The Measurement of Productive Efficiency: Techniques and Applications. Oxford University Press, Oxford, pp. 3-67.
32. Lovell C.A.K. Linear programming approaches to the measurement and analysis of productive efficiency. TOP. 2(2):1994;175-224.
33. Lovell C.A.K. Measuring the macroeconomic performance of the Taiwanese economy. International Journal of Production Economics. 39(1):1995;165-178.
34. Petersen N. Data envelopment analysis on a relaxed set of assumptions. Management Science. 36(3):1990;305-314.
35. Seiford L., Thrall R. Recent developments in DEA: the mathematical programming approach to frontier analysis. Journal of Econometrics. 46(1/2):1990;7-38.
36. Seiford L. Data envelopment analysis: the evolution of the state of the art (1978-1995). Journal of Productivity Analysis. 7(2/3):1996;99-137.
37. Tulkens H. On FDH efficiency analysis: some methodological issues and applications to retail banking, courts, and urban transit. Journal of Productivity Analysis. 4(1/2):1993;183-210.
38. Varian H. Goodness-of-fit in optimizing models. Journal of Econometrics. 46(1/2):1990;125-140.
39. Zhu J., Shen Z.-H. A discussion of testing DMU's returns to scale. European Journal of Operational Research. 81(3):1995;590-596.