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Double Bootstrap Confidence Intervals in the Two‐Stage DEA Approach
Author(s) -
Chronopoulos Dimitris K.,
Girardone Claudia,
Nankervis John C.
Publication year - 2015
Publication title -
journal of time series analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.576
H-Index - 54
eISSN - 1467-9892
pISSN - 0143-9782
DOI - 10.1111/jtsa.12122
Subject(s) - inference , confidence interval , mathematics , robust confidence intervals , monte carlo method , iterated function , bootstrapping (finance) , percentile , statistics , econometrics , context (archaeology) , data envelopment analysis , statistical inference , algorithm , computer science , artificial intelligence , mathematical analysis , paleontology , biology
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.