tenure of Alan Greenspan as chairman of the Board of Governors has been a steady increase in the Federal Open Market Committee’s (FOMC) willingness to talk openly about the policy decisions that it has made and those it is likely to make in the future. Before the 1990s, central banking was shrouded in mystery, at the Fed as elsewhere. The title of William Greider’s 1987 bestseller about the Fed...

Abstract Clustering techniques for multivariate data are useful tools in Statistics that have been fully studied the literature. However, there is limited literature on clustering methodologies functional data. Our proposal consists of a procedure using The idea to reduce problem into one by applying epigraph and hypograph indexes original curves their first and/or second derivatives. All infor...

In this paper, we conduct a thorough study on the first and second order properties of the Moreau-Yosida regularization of the vector k-norm function, the indicator function of its epigraph, and the indicator function of the vector k-norm ball. We start with settling the vector k-norm case via applying the existing breakpoint searching algorithms to the metric projector over its dual norm ball....

The search for a theoretical peg on which to hang this paper led me, inevitably, to Homi Bhabha. Yet when I pulled out Nation and Narration in quest of an apt quote to use as an epigraph, the best I could come up with was actually a passage from Benedict Anderson, whom Bhabha himself quotes in his introduction. Anderson, through Bhabha, states: “What I am proposing is that Nationalism has to be...

We use in this paper the viability/capturability approach for studying the problem of characterizing the dynamic core of a dynamic cooperative game defined in a characteristic function form. In order to allow coalitions to evolve, we embed them in the set of fuzzy coalitions. Hence, we define the dynamic core as a set-valued map associating with each fuzzy coalition and each time the set of all...

Let K ⊂ R be a regular convex cone, let e1, . . . , en ∈ ∂K be linearly independent points on the boundary of a compact affine section of the cone, and let x∗ ∈ K be a point in the relative interior of this section. For k = 1, . . . , n, let lk be the line through the points ek and x ∗, let yk be the intersection point of lk with ∂K opposite to ek, and let zk be the intersection point of lk wit...

Let K ⊂ R be a regular convex cone, let e1, . . . , en ∈ ∂K be linearly independent points on the boundary of a compact affine section of the cone, and let x∗ ∈ K be a point in the relative interior of this section. For k = 1, . . . , n, let lk be the line through the points ek and x ∗, let yk be the intersection point of lk with ∂K opposite to ek, and let zk be the intersection point of lk wit...

In this paper a general methodology is proposed based on robust optimization for an inventory control problem subject to uncertain demands and uncertain lead times. Several lead time uncertainty sets are proposed based on the budget uncertainty set, and a set based on the central limit theorem (CLT). Robust optimization models are developed for a periodic review, finite horizon inventory contro...

For some given positive γ, a function f is called outer γ-convex if it satisfies the Jensen inequality f(zi) ≤ (1 − λi)f(x0) + λif(x1) for some z0 : = x0, z1, ..., zk : = x1 ∈ [x0, x1] satisfying ‖zi − zi+1‖ ≤ γ, where λi : = ‖x0 − zi‖/‖x0 − x1‖, i = 1, 2, ..., k − 1. Though the Jensen inequality is only required to hold true at some points (although the location of these points is uncertain) o...