Probabilistic characterization of directional distances and their robust versions

Leopold Simar and Anne Vanhems ()

Journal of Econometrics, 2012, vol. 166, issue 2, 342-354

Abstract: In this work, we analyze the performance of production units using the directional distance function which allows to measure the distance to the frontier of the production set along any direction in the inputs/outputs space. We show that this distance can be expressed as a simple transformation of radial or hyperbolic distance. This formulation allows to define robust directional distances in the lines of α-quantile or order-m partial frontiers and also conditional directional distance functions, conditional to environmental factors. We propose simple methods of estimation and derive the asymptotic properties of our estimators.

Keywords: Directional distance function; Partial frontier; Conditional measures of efficiency; Robust nonparametric estimation; Mutual funds performances (search for similar items in EconPapers)
JEL-codes: C13 C14 (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (94)

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Related works:
Working Paper: Probabilistic characterization of directionaldistances and their robustversions (2012)
Working Paper: Probabilistic characterization of directional distances and their robust versions (2010)
Working Paper: Probabilistic Characterization of Directional Distances and their Robust Versions (2010)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:166:y:2012:i:2:p:342-354

DOI: 10.1016/j.jeconom.2011.10.002

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