Recent developments in the theory of choice under uncertainty and risk yield a pessimistic decision theory that replaces the classical expected utility criterion with a Choquet expectation that accentuates the likelihood of the least favorable outcomes. A parallel theory has recently emerged in...

The approximately linear model represents deviations from the ideal linear model by a vector contained in a prescribed bias-ball. In a recent paper Mathew and Nordstrom (1993) proposed min--maxbias estimators in which a criterion function is defined by maximizing errors over the bias-ball. When...

The strong consistency of regression quantile statistics (Koenker and Bassett [4]) in linear models with iid errors is established. Mild regularity conditions on the regression design sequence and the error distribution are required. Strong consistency of the associated empirical quantile...