This paper analyzes productivity with a directional distance function model by investigating convexity and non-convexity in the Chinese banking sector. Two primary findings are summarized. First, there is a distinct change in productivity between large versus small banks and public versus...

This study measures the efficiencies incorporating waste generation using Japanese prefecture level data. We apply and compare several models using directional distance functions. There are wide variations in the efficiency scores between the two orientations, “input, desirable and undesirable...