Double bootstrap confidence intervals in the two-stage DEA approach
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Contextual factors usually assume an important role in determining firms' productive efficiencies. Nevertheless, identifying them in a regression framework might be complicated. The problem arises from the efficiencies being correlated with each other when estimated by Data Envelopment Analysis, rendering standard inference methods invalid. Simar and Wilson (2007) suggest the use of bootstrap algorithms that allow for valid statistical inference in this context. This article extends their work by proposing a double bootstrap algorithm for obtaining confidence intervals with improved coverage probabilities. Moreover, acknowledging the computational burden associated with iterated bootstrap procedures, we provide an algorithm based on deterministic stopping rules, which is less computationally demanding. Monte Carlo evidence shows considerable improvement in the coverage probabilities after iterating the bootstrap procedure. The results also suggest that percentile confidence intervals perform better than their basic counterpart.
Chronopoulos , D K , Girardone , C & Nankervis , J C 2015 , ' Double bootstrap confidence intervals in the two-stage DEA approach ' Journal of Time Series Analysis , vol 36 , no. 5 , pp. 653-662 . DOI: 10.1111/jtsa.12122
Journal of Time Series Analysis
Copyright © 2015 Wiley Publishing Ltd. This is the peer reviewed version of the following article: Chronopoulos, D. K., Girardone, C., and Nankervis, J. C. (2015) Double Bootstrap Confidence Intervals in the Two-Stage DEA Approach. J. Time Ser. Anal., 36: 653–662, which has been published in final form at doi: 10.1111/jtsa.12122. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
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