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When Bias Kills the Variance: Central Limit Theorems for DEA and FDH Efficiency Scores

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Kneip, Alois Simar, Léopold [UCL] Wilson, Paul

Data envelopment analysis (DEA) and free disposal hull (FDH) estimators are widely used to estimate efficiencies of production units. In applications, both efficiency scores for individual units as well as average efficiency scores are typically reported. While several bootstrap methods have been developed for making inference about the efficiencies of individual units, until now no methods have existed for making inference about mean efficiency levels. This paper shows that standard central limit theorems do not apply in the case of means of DEA or FDH efficiency scores due to the bias of the individual scores, which is of larger order than either the variance or covariances among individual scores. The main difficulty comes from the fact that such statistics depend on efficiency estimators evaluated at random points. Here, new central limit theorems are developed for means of DEA and FDH scores, and their efficacy for inference about mean efficiency levels is examined via Monte Carlo experiments.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès interdit
Publication date 2015
Language Anglais
Journal information "Econometric Theory" - Vol. 31, no.2, p. 394-422 (2015)
Peer reviewed yes
Publisher Cambridge University Press (Cambridge)
issn 0266-4666
e-issn 1469-4360
Publication status Publié
Affiliation UCL - SSH/LIDAM/ISBA - Institut de Statistique, Biostatistique et Sciences Actuarielles
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Bibliographic reference Kneip, Alois ; Simar, Léopold ; Wilson, Paul. When Bias Kills the Variance: Central Limit Theorems for DEA and FDH Efficiency Scores. In: Econometric Theory, Vol. 31, no.2, p. 394-422 (2015)
Permanent URL http://hdl.handle.net/2078.1/158881