To test for and characterize heterogeneity in ancestral contributions to individuals among a population of Mexican American (MA) and non-Hispanic white (NHW) stroke/transient ischemic attack (TIA) cases, data from a community-based stroke surveillance study in south Texas were used. Strokes/TIA cases were identified (2004-2006) with a random sample asked to provide blood. Race-ethnicity was sel...

We study quenched QCD at finite chemical potential, μI , for the third component of isospin and quenched two-colour QCD at finite chemical potential, μ, for quark number. In contrast to the quenched approximation to QCD at finite quark-number chemical potential, the quenched approximations to these theories behave similarly to the full theories. The reason is that these theories have real posit...

Consider a one-way layout in which independent observations Xi have distributions F (x− μi) with μi unknown, 1 ≤ i ≤ k. The basic problem is to test the family of subset hypotheses about μi. The step-up test scheme of Welsch (1977) is studied in detail. A general result is given on how to determine the critical values so that the type I familywise error rate is strongly controlled at a preassig...

We determine the thresholds for the number of variables, number of clauses, number of clause intersection pairs and the maximum clause degree of a k-CNF formula that guarantees satisfiability under the assumption that every two clauses share at most α variables. More formally, we call these formulas α-intersecting and define, for example, a threshold μi(k, α) for the number of clause intersecti...

This version includes some results on Besov spaces at the end! 1 The single sequence problem Consider the estimation of a sequence of means μ = (μ1, μ2, . . . , μn) given independent observations Xi ∼ N(μi, 1). Define ŵ to be the marginal maximum likelihood estimator of the parameter w based on X1, X2, . . . , Xn, defined subject to the constraint that the corresponding threshold t̂ of the poste...

There are (at least) two main approaches to solvable lattice models and their associated quantum spin chains: the Bethe ansatz [6] and the corner transfer matrix method [5]. In his paper [6], Bethe solved the Heisenberg spin chain based on the string hypothesis which asserts that the eigenvalues of the Hamiltonian form certain strings in the complex plane as the size of the system tends to infi...

We construct an empirical Bayes (EB) prediction interval for the finite population mean of a small area when data are available from many similar small areas. We assume that the individuals of the population of the i area are a random sample from a normal distribution with mean μi and variance σ 2 i . Then, given σ 2 i , the μi are independently distributed with each μi having a normal distribu...

We use 2-color QCD as a model to study the effects of simultaneous presence of chemical potentials for isospin charge, μI , and for baryon number, μB. We determine the phase diagrams for 2 and 4 flavor theories using the method of effective chiral Lagrangians at low densities and weak coupling perturbation theory at high densities. We determine the values of various condensates and densities as...