8 The XL-mHG test is a semiparametric test for enrichment in ranked lists with boolean (0/1-valued) entries. It is a generalization of the nonparametric mHG test, designed to provide some control over the kind of enrichment that is being tested for, and to allow a flexible trade-off between the sensitivity and robustness of the test. Here, I describe an improved algorithm to efficiently calcula...

We consider the decision problem of making causal conclusions from observational data. Typically, using standard matched pairs techniques, there is a source of uncertainty that is not usually quantified, namely the uncertainty due to the choice of the experimenter: two different reasonable experimenters can easily have opposite results. In this work we present an alternative to the standard non...

Peter Marquard, Alexander V. Smirnov, Vladimir A. Smirnov, and Matthias Steinhauser Deutsches Elektronen Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany Scientific Research Computing Center, Moscow State University, 119991, Moscow, Russia Skobeltsyn Institute of Nuclear Physics, Moscow State University, 119991, Moscow, Russia Institut für Theoretische Teilchenphysik, Karlsruhe Institu...

We consider the problem of …nding the best analytic approximation in Smirnov and Bergman norm to general monomials of the type znzm. We show that in the case of approximation to z in the annulus (and the disk) the best approximation is the same for all values of p. Moreover, the best approximations to z in Smirnov and Bergman spaces characterize disks and annuli.

1.1 Graded associative algebras. A nite Z-grading of an algebra A is a decomposition A = L n i=?n A i such that A i A j A i+j , where A i = 0 for jij > n. From now on a grading means a nite Z-grading. I am interested in associative graded algebras because they arise naturally in study of Lie algebras, although the subject is certainly interesting in its own right. A classiication of gradings of...

The practice of capture-recapture to estimate the diversity is well known to many animal groups, however this practice in the larval phase of anuran amphibians is incipient. We aimed at evaluating the Lincoln estimator, Venn diagram and Bayes theorem in the inference of population size of a larval phase anurocenose from lotic environment. The adherence of results was evaluated using the Kolmogo...

We consider the problem of testing for independence against the consistent superiority of one treatment over another when the response variable is binary and is compared across two treatments in each of several strata. Specifically, we consider the randomized clinical trial setting. A number of issues arise in this context. First, should tables be combined if there are small or zero margins? Se...