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

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 comput...

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Main Authors: Wheat, P., Greene, William, Smith, A.
Format: Journal Article
Published: Springer 2014
Online Access:http://hdl.handle.net/20.500.11937/53874
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author Wheat, P.
Greene, William
Smith, A.
author_facet Wheat, P.
Greene, William
Smith, A.
author_sort Wheat, P.
building Curtin Institutional Repository
collection Online Access
description 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 $$ u_{i} |\varepsilon_{i} $$ui|ei 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.
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institution Curtin University Malaysia
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spelling curtin-20.500.11937-538742017-10-12T07:10:27Z Understanding prediction intervals for firm specific inefficiency scores from parametric stochastic frontier models Wheat, P. Greene, William Smith, A. 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 $$ u_{i} |\varepsilon_{i} $$ui|ei 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. 2014 Journal Article http://hdl.handle.net/20.500.11937/53874 10.1007/s11123-013-0346-y Springer restricted
spellingShingle Wheat, P.
Greene, William
Smith, A.
Understanding prediction intervals for firm specific inefficiency scores from parametric stochastic frontier models
title Understanding prediction intervals for firm specific inefficiency scores from parametric stochastic frontier models
title_full Understanding prediction intervals for firm specific inefficiency scores from parametric stochastic frontier models
title_fullStr Understanding prediction intervals for firm specific inefficiency scores from parametric stochastic frontier models
title_full_unstemmed Understanding prediction intervals for firm specific inefficiency scores from parametric stochastic frontier models
title_short Understanding prediction intervals for firm specific inefficiency scores from parametric stochastic frontier models
title_sort understanding prediction intervals for firm specific inefficiency scores from parametric stochastic frontier models
url http://hdl.handle.net/20.500.11937/53874