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Journal of Productivity Analysis

, Volume 42, Issue 1, pp 55–65 | Cite as

Understanding prediction intervals for firm specific inefficiency scores from parametric stochastic frontier models

  • Phill Wheat
  • William Greene
  • Andrew Smith
Article

Abstract

This paper makes two important contributions to the literature on prediction intervals for firm specific inefficiency estimates in cross sectional SFA models. Firstly, the existing intervals in the literature do not correspond to the minimum width intervals and in this paper we discuss how to compute such intervals and how they either include or exclude zero as a lower bound depending on where the probability mass of the distribution of \( u_{i} |\varepsilon_{i} \) resides. This has useful implications for practitioners and policy makers, with greatest reductions in interval width for the most efficient firms. Secondly, we propose an ‘asymptotic’ approach to incorporating parameter uncertainty into prediction intervals for firm specific inefficiency (given that in practice model parameters have to be estimated) as an alternative to the ‘bagging’ procedure suggested in Simar and Wilson (Econom Rev 29(1):62–98, 2010). The approach is computationally much simpler than the bagging approach.

Keywords

Stochastic frontier Prediction intervals Efficiency 

JEL Classification

C12 L25 L51 L92 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.University of LeedsLeedsUK
  2. 2.Department of Economics, Stern School of BusinessUniversity of New YorkNew York CityUSA

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