Let {X1, . . . , Xm} and {Y1, . . . , Yn} be two samples independent of each other, but the random variables within each sample are stationary associated with one dimensional marginal distribution functions F and G, respectively. We study the properties of the classical WilcoxonMann-Whitney statistic for testing for stochastic dominance in the above set up.

In a mathematical approach to hypothesis tests, we start with a clearly defined set of hypotheses and choose the test with the best properties for those hypotheses. In practice, we often start with less precise hypotheses. For example, often a researcher wants to know which of two groups generally has the larger responses, and either a t-test or a Wilcoxon-Mann-Whitney (WMW) test could be accep...

Background and Purpose : The aim of this study was to evaluate the efficacy, safety, and tolerability of cerebrolysin in the early recovery phase after acute ischemic stroke. Methods. This prospective, randomized, double-blinded, placebo-controlled, multicenter, parallel-group study enrolled a total of 100 patients within 18 h after the onset of stroke. The patients were treated with Cerebrolys...

A meta-analysis was performed on five studies conducted over the last decade to demonstrate a positive effect for the drug Uro-Vaxom compared with Placebo in double-blind studies in patients with urinary tract infection (601 women), with special reference to the prevention of recurrences over an observation period of 6 months, the treatment being given for the first 3 months. The five studies w...

Correspondence to: Célia Marisa Rizzatti-Barbosa Department of Prosthesis and Periodontology Piracicaba Dental School, State University of Campinas (UNICAMP) Avenida Limeira, 901. Areião CEP: 13414-018 Piracicaba São Paulo Brazil. Phone: 00 55 19 3412 5373 Fax: 00 55 19 3412 5218 E-mail: [email protected] Abstract The aim of this study was to evaluate the influence of polymerization metho...

We prove the endpoint case of the multilinear Kakeya conjecture of Bennett, Carbery, and Tao. The proof uses the polynomial method introduced by Dvir. In [1], Bennett, Carbery, and Tao formulated a multilinear Kakeya conjecture, and they proved the conjecture except for the endpoint case. In this paper, we slightly sharpen their result by proving the endpoint case of the conjecture. Our method ...