The paper considers Caratheodory's Theorem on the properties of the Inverse of the Bordered Hessian of an Optimization Problem. After a new proof of the complete theorem, using matrix theory methods, the paper considers the sensitivity of the optimal solution in parameters appearing either in...

As part of a study aimed at estimating suburban highway needs for year 2005, models were developed for forecasting daily vehicle miles of travel (DVMT) for urban areas and its distribution by highway functional class, urban location, and urban area size. A regression model combining both time...

We are interested by Lyapounov exponents in the almost periodic Hamiltonian case.

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...

This paper explains how the Gibbs sampler can be used to perform Bayesian inference on GARCH models. Although the Gibbs sampler is usually based on the analytical knowledge of the full conditional posterior densities, such knowledge is not available in regression models with GARCH errors. We...

Two new subroutines, SPLITDAT and DECOMP, have been created in the GAMS I/O library. The aim of these subroutines is to provide the GAMS user with the possibility of using Benders and other decomposition algorithms within the Gams modeling language framework.