Given a set O of k orientations in the plane, two points inside a simple polygon P O-see each other if there is an O-staircase contained in P that connects them. The O-kernel of P is the subset of points which O-see all the other points in P . This work initiates the study of the computation and maintenance of the O-Kernel of a polygon P as we rotate the set O by an angle θ, denoted O-Kernelθ(P...

This study’s aim is to predict speaker personality from intonation patterns in spoken dialogs. Intonation patterns were extracted by a parametric superpositional stylization approach that allows for pattern description on a parametric as well as on a categorical level. Based on features derived from these representations we trained support vector machines and fitted generalized linear regressio...

In recent work we called a ring R a GGCD ring if the semigroup of finitely generated faithful multiplication ideals of R is closed under intersection. In this paper we introduce the concept of generalized GCD modules. An R-moduleM is a GGCD module if M is multiplication and the set of finitely generated faithful multiplication submodules of M is closed under intersection. We show that a ring R ...

It is proved that generalized excursion measures can be constructed via time change of Itô’s Brownian excursion measure. A tightness-like condition on strings is introduced to prove a convergence theorem of generalized excursion measures. The convergence theorem is applied to obtain a conditional limit theorem, a kind of invariance principle where the limit is the Bessel meander.

In this paper, we complete the existence of near generalized balanced tournament designs (NGBTDs) with block size 3 and 5. As an application, we obtain new classes of optimal constant composition codes.

Bárány, Hubard, and Jerónimo recently showed that for given well separated convex bodies S1, . . . , Sd in R and constants βi ∈ [0, 1], there exists a unique hyperplane h with the property that Vol(h ∩Si) = βi·Vol(Si); h is the closed positive transversal halfspace of h, and h is a “generalized ham-sandwich cut”. We give a discrete analogue for a set S of n points in R which is partitioned into...

When inferences focus on population averages, one can directly model all of the marginal expectations E(Yij) = μij in terms of covariates of interest. This is typically done via h(μij) = x ′ ijβ, with h(·) some known link function, such as the logit link for binary responses. The marginal variance depends on the marginal mean according to Var(Yij) = v(μij)φ, where v(·) is a known variance funct...

Title of Dissertation: Nonparametric Quasi-likelihood in Longitudinal Data Analysis Xiaoping Jiang, Doctor of Philosophy, 2004 Dissertation directed by: Professor Paul J. Smith Statistics Program Department of Mathematics This dissertation proposes a nonparametric quasi-likelihood approach to estimate regression coefficients in the class of generalized linear regression models for longitudinal ...

This paper deals with optimization of splitable resources aimed to the detection of a moving target following a Markovian movement or a conditionally deterministic motion. Our work extends Brown’s spatial optimization method. By use of a generalized linear formalism, we developed a method for optimizing both spatially and temporally (modeling resource renew), with management of multiple resourc...