In this paper we study nonparametric estimation and hypothesis testing procedures for the functional coefficient AR (FAR) models of the form Xt = f1(Xt-d)Xt-1 +…+ fp(Xt-d)Xt-p +εt, first proposed by Chen and Tsay (1993). As a direct generalization of the linear AR model, the FAR model is a...

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...

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...