We propose a perfect sampler for mixtures of distributions, in the spirit of Mira and Roberts (1999), building on Hobert, Robert and Titterington (199). The moethod relies on a marginalisation akin to Rao-Blackwellisation which illustrates the Duality Principle of Diebolt and Robert (1994) and...

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...

I will sketch the history of the so-called turnpike theorems and describe some interesting recent developments regarding them. I will also discuss the attempt to apply the ideas of turnpike theorems in the literature of optimal capital accumulation to the theory of competitive equilibrium over...

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...

We investigate local strong rationality (LSR) in a one step forward looking univariate model with memory one. Eductive arguments are used to determine when common knowledge (CK) that the solution is near some perfect foresight path is sufficient to trigger complete coordination on that path...

The cut polyhedron cut(G) of an undirected graph G = (V,E) is the dominant of the convex hull of all of its nonempty edge cutsets. After examining various compact extended formulations for cut(G), we study some of its polyhedral properties. In particular, we characterize all of the facets...

We describe an @( n^4 h min{log U, n^2logn}) capacity scaling algorithm for the minimum cost submodular flow problem. Our algorithm modifies and extends the Edmonds-Karp capacity scaling algorithm for minimum cost flow to solve the minimum cost submodular flow problem. The modification entails...

We study a family of unbounded polyhedra arising in the study of uncapacitated lot-sizing problems with Wagner-Whitin costs. With n the number of periods, we completely characterize the bounded faces of maximal dimension, and derice an O(n^2) alogorithm to express within the polyhedron as a...

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...

Define the riskiness of a gamble as the reciprocal of the absolute risk aversion (ARA) of an individual with constant ARA who is indifferent between taking and not taking that gamble. We characterize this index by axioms, chief among them a \"duality\" axiom which, roughly speaking, asserts that...