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Estimation and inference in two-stage, semi-parametric models of production processes

Many papers have regressed non-parametric estimates of productive efficiency on environmental variables in two-stage procedures to account for exogenous factors that might affect firms’ performance. None of these have described a coherent data-generating process (DGP). Moreover, conventional approac...

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Bibliographic Details
Published in:Journal of econometrics 2007, Vol.136 (1), p.31-64
Main Authors: Simar, Léopold, Wilson, Paul W.
Format: Article
Language:English
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Summary:Many papers have regressed non-parametric estimates of productive efficiency on environmental variables in two-stage procedures to account for exogenous factors that might affect firms’ performance. None of these have described a coherent data-generating process (DGP). Moreover, conventional approaches to inference employed in these papers are invalid due to complicated, unknown serial correlation among the estimated efficiencies. We first describe a sensible DGP for such models. We propose single and double bootstrap procedures; both permit valid inference, and the double bootstrap procedure improves statistical efficiency in the second-stage regression. We examine the statistical performance of our estimators using Monte Carlo experiments.
ISSN:0304-4076
1872-6895
DOI:10.1016/j.jeconom.2005.07.009