Inferring the Latent Incidence of Inefficiency from DEA Estimates and Bayesian Priors
Data envelopment analysis (DEA) is among the most popular empirical tools for measuring cost and productive efficiency. Because DEA is a linear programming technique, establishing formal statistical properties for outcomes is difficult. We show that the incidence of inefficiency within a population of Decision Making Units (DMUs) is a latent variable, with DEA outcomes providing only noisy sample-based categorizations of inefficiency. We then use a Bayesian approach to infer an appropriate posterior distribution for the incidence of inefficient DMUs based on a random sample of DEA outcomes and a prior distribution on the incidence of inefficiency. The methodology applies to both finite and infinite populations, and to sampling DMUs with and without replacement, and accounts for the noise in the DEA characterization of inefficiency within a coherent Bayesian approach to the problem. The result is an appropriately up-scaled, noise-adjusted inference regarding the incidence of inefficiency in a population of DMUs.
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- Mickael Lothgren & Magnus Tambour, 1999. "Testing scale efficiency in DEA models: a bootstrapping approach," Applied Economics, Taylor & Francis Journals, vol. 31(10), pages 1231-1237.
- GIJBELS, Irène & MAMMEN, Enno & PARK, Byeong U. & SIMAR, Léopold, 1997.
"On estimation of monotone and concave frontier functions,"
CORE Discussion Papers
1997031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- GIJBELS, Irène & MAMMEN, Enno & PARK, Byeong U. & SIMAR, Léopold, "undated". "On estimation of monotone and concave frontier functions," CORE Discussion Papers RP 1392, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Gijbels, Irène & Mammen, Enno & Park, Byeong U. & Simar, Léopold, 1998. "On estimation of monotone and concave frontier functions," SFB 373 Discussion Papers 1998,9, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Rajiv D. Banker, 1993. "Maximum Likelihood, Consistency and Data Envelopment Analysis: A Statistical Foundation," Management Science, INFORMS, vol. 39(10), pages 1265-1273, October.
- Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
- Léopold Simar & Paul Wilson, 1999.
"Some Problems with the Ferrier/Hirschberg Bootstrap Idea,"
Journal of Productivity Analysis,
Springer, vol. 11(1), pages 67-80, February.
- SIMAR, Léopold & WILSON, Paul W., 1997. "Some problems with the Ferrier/Hirschberg bootstrap idea," CORE Discussion Papers 1997062, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Jati Sengupta, 1998. "The efficiency distribution in a production cost model," Applied Economics, Taylor & Francis Journals, vol. 30(1), pages 125-132.
- Kneip, Alois & Park, Byeong U. & Simar, L opold, 1998. "A Note On The Convergence Of Nonparametric Dea Estimators For Production Efficiency Scores," Econometric Theory, Cambridge University Press, vol. 14(06), pages 783-793, December.
- Subhash C. Ray, 1991. "Resource-Use Efficiency in Public Schools: A Study of Connecticut Data," Management Science, INFORMS, vol. 37(12), pages 1620-1628, December.
- Chirikos, Thomas N. & Sear, Alan M., 1994. "Technical efficiency and the competitive behavior of hospitals," Socio-Economic Planning Sciences, Elsevier, vol. 28(4), pages 219-227, December.
- Stanton, Kenneth R., 2002. "Trends in relationship lending and factors affecting relationship lending efficiency," Journal of Banking & Finance, Elsevier, vol. 26(1), pages 127-152, January.
- Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
- Jeong, Seok-Oh & Park, Byeong U., 2004. "Limit Distribution of Convex-Hull Estimators of Boundaries," Papers 2004,39, Humboldt-Universität Berlin, Center for Applied Statistics and Economics (CASE).
- Chilingerian, Jon A., 1995. "Evaluating physician efficiency in hospitals: A multivariate analysis of best practices," European Journal of Operational Research, Elsevier, vol. 80(3), pages 548-574, February.
- Juang, Muh-Guey & Anderson, Gary, 2004. "A Bayesian method on adaptive preventive maintenance problem," European Journal of Operational Research, Elsevier, vol. 155(2), pages 455-473, June.
- Robert Rosenman & Daniel Friesner, 2004. "Scope and scale inefficiencies in physician practices," Health Economics, John Wiley & Sons, Ltd., vol. 13(11), pages 1091-1116.
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