When faced with multiple inputs X ∈ Rp + and outputs Y ∈ Rq +, traditional quantile regression of Y conditional on X = x for measuring economic efficiency in the output (input) direction is thwarted by the absence of a natural ordering of Euclidean space for dimensions q (p) greater than...

This paper examines the performance of the U.S. commercial banking industry over 1984-2002. Rather than measuring performance relative to the unknown (and difficult-to-estimate) boundary of the production set, performance for a given bank is measured relative to expected maximum output among m...

This paper describes a non-parametric, unconditional, hyperbolic quantile estimator that unlike traditional non-parametric frontier estimators is both robust to data outliers and has a root-n convergence rate. We use this estimator to examine changes in the efficiency and productivity of U.S....

The number of U.S. commercial banks has declined by some 40 percent since 1984, primarily through mergers of solvent institutions. The relaxation of legal impediments to branching has enabled this consolidation, but specific characteristics of banks that engage in mergers reflect the regulatory...