We establish, in infinite dimensional Banach space, a nonconvex separation property for general closed sets that is an extension of Hahn-Banach separation theorem. We provide some consequences in optimization, in particular the existence of singular multipliers and show the relation of our...

IN this paper firstly, we obtain convergence results for a sequence of minimal elements of sets under assumptions of minimal character. Then, we present similar results for suitable notions of approximate minimal elements of sets.

Apres un rappel synthetique des differents concepts d'exogeneite dans les cadres stationnaire et non stationnaire (predetermination, exogeneite stricte, exogeneite faible, exogeneite forte, super exogeneite, exogeneite de cointegration), nous examinons les conditions d'exogeneite faible...

In this paper we address the issue of the efficient estimation of the cointegrating vector in linear regression models with variables that follow general (higher order and fractionally) integrated processes.

The paper deals with estimation of missing observations in possibly nonstationary ARIMA models. First, the model is assumed known, and the structure of the interpolation filter is analysed. Using the inverse or dual autocorrelation function it is seen how estimation of a missing observation is...

We present a new Fair Queuing policy adapted to low-bandwidth flows, and preventing discrepancy which is encountered under almost all of the existing Fair Queuing policies. Unlike Packet-by-packet Generalized Processos Sharing PGPS and its version Worst-case Fair, Fair Queuing WF2Q which...

The paper deals with the problem of identifying stochastic unobserved two-component models, as in seasonal adjustment or trend-cycle decompositions. Solutions based on the properties of the unobserved component estimation error are considered, and analytical expressions for the variances and...

In a first time we draw a rough shape of a general formal framework for polynomial approximation theory which encompasses the existing one by allowing the expression of new types of results. We show how this framework incorporates all the existing approximation results and, moreover, how new...