This paper suggests how stochastic nonparametric envelopment of data (StoNED) can be extended as an estimator in the metafrontier efficiency analysis. Both convex and non-convex metatechnologies are formed and a semi-nonparametric estimation technique for the corresponding metafrontiers is developed. Remaining consistent with the metafrontier theory, the resulting estimated metafrontiers always envelope the estimated group frontiers
