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Author:Banker, R.
Title:Maximum likelihood, consistency and data envelopment analysis: a statistical foundation
Journal:Management Science
1993 : OCT, VOL. 39:10, p. 1265-1273
Index terms:DATA ENVELOPMENT ANALYSIS
ESTIMATION
STATISTICS
Language:eng
Abstract:This paper provides a formal statistical basis for the efficiency evaluation techniques of data envelopment analysis (DEA). DEA estimators of the best practice monotone increasing and concave production function are shown to be also maximum likelihood estimators if the deviation of actual output from the efficient output is regarded as a stochastic variable with a monotone decreasing probability density function. While the best practice frontier estimator is biased below the theoretical frontier for a finite sample size, the bias approaches zero for large samples.
SCIMA record nr: 108598
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