We are aimed to develop a systematic introduction to a new weak dependence condition. We show that some popular models hold this property : stationary Markov models, bilinear models, and more generally, Bernoulli shifts.

The notion of disapprobation is defined. It is designed to capture some features of misspecification in a decision-theoretic framework. Moreover, it is a sample-based notion so it is well-suited for the study of misspecification in Bayesian contexts. Some elementary examples of disapprobation...

In Van den Akker, Van Hoesel, and Savelsbergh (1994), we have studied a time-indexed formulation for single-machine scheduling problems and have presented a complete characterization of all facet inducing inequalities with right-hand side 1 and 2 for the convex hull of the monotone extension of...

Classically, the concept of efficiency measurement is based on the definition of a frontier that envelops the observed production plans. The efficiency score itself is based on the distance of an observed production plan from this frontier. The frontier along with the required technological...

In this paper we consider a new analytic center cutting plane method in a projective space. We prove the efficiency estimates for the general schemeand show that these results can be used in the analysis of a feasibility problem, the variational inequality problem and the problem of constrained...

An important class of structural econometric models (nonlinear rational expectations,option pricing, auction models,...) characterize observable variables as highly nonlinear transformations of some latent variables. These transformations are one-to-one but they depend on the unknown...

In this paper, I first prove an integral representation theorem: Every quasi-integral on a Stone lattice can be represented by a unique upper-continuous capacity. I then apply this representation theorem to study the topological structure of the space of all upper-continuous capacities on a...