Double bootstrap confidence intervals in the two-stage DEA approach

Dimitris K. Chronopoulos, Claudia Girardone, John C. Nankervis

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)653-662
JournalJournal of Time Series Analysis
Issue number5
Early online date3 Feb 2015
Publication statusPublished - 27 Jul 2015


  • Data envelopment analysis
  • Double bootstrap
  • Confidence intervals
  • Stopping rules
  • Two-stage approach
  • JELC14
  • C15
  • C24
  • G21


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