Asymptotic Properties of Some Non-Parametric Hyperbolic Efficiency Estimators

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Probabilistic characterization of directional distances and their robust versions (2012, background): “(3.5) Explicit analytical expression involving HXY are given in Cazals et al. (2002) for the radial measures (input/output) and in Wilson (2010) for the hyperbolic case described above.”
Hypothesis testing in nonparametric models of production using multiple sample splits (2020, methodology): “Alternatively, Daraio et al. (2018) derive properties on the moments of conditional, output-oriented FDH and VRS-DEA efficiency estimators, and use these results to establish statistical tests of the infamous “separability condition” described by Simar and Wilson (2007, 2011).”
Testing Hypotheses in Nonparametric Models of Production (2016, methodology): “…and Weiner (2000), Park, Jeong, and Simar (2010), Kneip, Park, and Simar (1998), Kneip, Simar, and Wilson (2008, 2011), Gijbels et al. (1999), and Wilson (2011), it is the dimensionality (p + q) rather than the ratio p/q that is important for determining properties of the estimators;…”