Consider a linear stochastic differential equation dX(t) = (aX(t) + bX(t− 1))dt+ dW t , t ≥ 0 with time delay driven by a fractional Brownian motion {WH t , t ≥ 0}. We investigate the asymptotic properties of the maximum likelihood estimator of the parameter θ = (a, b).

In this paper we study the problem of constructing sets of s latin squares of order m such that the average number of different ordered pairs obtained by superimposing two of the s squares in the set is as large as possible. We solve this problem (for all s) when m is a prime power by using projective planes. We also present upper and lower bounds for all positive integers m.

The articles [9], [5], [11], [1], [10], [6], [3], [4], [2], [8], [12], and [7] provide the notation and terminology for this paper. We introduce metric structures which are extensions of 1-sorted structure and are systems 〈 a carrier, a distance 〉, where the carrier is a set and the distance is a function from [: the carrier, the carrier :] into R. One can check that there exists a metric struc...

We determine all triples (a, b, n) of positive integers such that a and b are relatively prime and nk divides an+bn (respectively, an bn), when k is the maximum of a and b (in fact, we answer a slightly more general question). As a by-product, we see that, for m,n 2 N+ with n 2, nm divides mn + 1 if and only if (m,n) = (2, 3) or (1, 2), which generalizes problems from the 1990 and 1999 editions...

The issue of shared use urban freight facilities first received attention during the 1970's when it was observed that, while inter-urban freight movements were becoming increasingly efficient, there were significant diseconomies in the movement of freight via truck within urban areas. Early research suggested that shared urban freight facilities should be constructed so that trucking companies ...

This paper analyzes the determinants of life satisfaction in a pooled data set of representative individual survey data from seven East European countries collected during the early phase of economic and political transformation using ordered logit models. Those core sociodemographic and economic variables known to be relevant from studies on the US and West European countries (u-shaped age eff...

This thesis explores the relationship between voter income and political ideology preference at the regional and state level. Traditional theories of voter preference contend that richer Americans tend to favor more conservative policy agendas in an effort to minimize income redistribution. The existing empirical literature supports this claim at the national level by finding a significant posi...

Let A, B, be finite subsets of an abelian group, and let G ⊂ A × B be such that #A, #B, #{a + b : (a, b) ∈ G} ≤ N. We consider the question of estimating the quantity #{a − b : (a, b) ∈ G}. In [2] Bourgain obtained the bound of N 2− 1 13 , and applied this to the Kakeya conjecture. We improve Bourgain's estimate to N

a f(x, y) dy, it is often important to know when F is differentiable and when F (x) = ∫ b a f1(x, y) dy. A sufficient condition for differentiating under the integral sign is that ∫ b a f1(x, y) dy converges uniformly; see [6, p. 260]. When we have absolute convergence, the condition |f1(x, y)| ≤ g(y) with ∫ b a g(y) dy < ∞ suffices (Weierstrass M-test and Lebesgue Dominated Convergence). If we...

We calculate the B-model on the mirror pair of X2N−2(2, 2, · · · , 2, 1, 1) , which is an (N − 2)-dimensional Calabi-Yau manifold and has two marginal operators i.e. h(X2N−2(2, 2, · · · , 2, 1, 1)) = 2. In [1] we have discussed about mirror symmetry on XN (1, 1, · · · , 1) and its mirror pair. However, XN (1, 1, · · · , 1) had only one moduli. In this paper we extend its methods to the case wit...