Within the framework of the general theory of multidimensional polynomials, we wish to investigate the orthogonal polynomials associated to the Gamma-Gaussian and negative multinomial-gamma measures. We obtain a mixing of Laguerre, Hermite and Charlier polynomials. We relate this study to the...

We consider the local empirical measure indexed by a function class. Under some reglarity assumptions, we give a large deviations principle for this process. A non standard functional law of the iterated logarithm is infered from our large deviations principle.

More than one hundred years, Appell introduced a polynomials class characterized by the exponentials form of its generatrice function. This class is well known on R and the aim of the paper is to offer a multidimensional analysis in two directions: we indicate a classical characterization of the...

We find a condition for the normalized sequence of independent and identically distriubted random nuclear operators to satisfy the Central Limit Theorem.

This paper discusses the intellectual origins of the so-called 'new economic geography' and provides its basic insights by means of a streamlined framework which stresses the generality of their implications.

The Jordan Form of the VAR's Companion matrix is used for proving the equivalence between the statement that there are no jordan blocks of order two or higher in the Jordan matrix and the conditions of Granger's Representation Theorem for an I(1) series. Furthermore, a Diagonal polynomial matrix...

In this paper a Superiority and Inferiority Ranking (SIR) method is proposed. This new method uses two types of information, the superiority and the inferiority information, to derive two types of flows, the superiority flow and the inferiority flow, by which the set of alternatives are ranked...

The well-known Meixner class (Meixner, 1934) of probabilities on R has been recently extended to R^d (Pommeret, 1996). This generalized Meixner class corresponds to the simple quadratic natural exponential families charaterized by Casalis (1996). Following Lancaster (1975), we offer a...

This survey presents cutting planes that are useful or potentially useful in solving mixed integer programs. Valid inequalities for i) general integer programs, ii) problems with local structure such as knapsack constraints, and iii) problems with 0-1 coefficient matrices, such as set packing,...

This paper formalizes the relation between comparative statics and the out-of-equilibrium explanation for how a system evolves after a change in parameters.