The Free Disposal Hull (FDH) is a nonparametric estimator for the production set. In Productivity Analysis one derives the production frontier and eciency scores from the FDH. In the literature the method is considered to be deterministic. However, assuming that individuals are drawn independently from a distribution, where the support is the true production set, FDH eciency scores are random variables. The paper investigates its stochastic properties.
Park, B. U., Simar, L., & Weiner, Ch. (1997). FDH Efficiency Scores from a Stochastic Point of View (STAT Discussion Papers 9715). https://hdl.handle.net/2078.5/35470