BACKGROUND Mixed effects logistic models have become a popular method for analyzing multicenter clinical trials with binomial data. However, the statistical properties of these models for testing homogeneity of odds ratios under various conditions, such as within-center and among-centers inequality, are still unknown and not yet compared with those of commonly used tests of homogeneity. METHO...

We assess the predictive power of a model of other-regarding preferences—inequality aversion—using a within-subjects design. We run four different experiments (ultimatum game, dictator game, sequential-move prisoners’ dilemma and public-good game) with the same sample of subjects. We elicit two parameters of inequality aversion to test several hypotheses across games. We find that within-subjec...

This paper shows that moment inequality tests that are asymptotically similar on the boundary of the null hypothesis exist, but have poor power. Hence, existing tests in the literature, which are asymptotically non-similar on the boundary, are not de…cient. The results are obtained by …rst establishing results for the …nite-sample multivariate normal one-sided testing problem. Then, these resul...

Maclaurin’s inequality is a natural, but nontrivial, generalization of the arithmetic-geometric mean inequality. We present a new proof that is based on an analogous generalization of Bernoulli’s inequality. Applications of Maclaurin’s inequality to iterative sequences and probability are discussed, along with a graph-theoretic version of the inequality.

In this paper, we present the best possible upper and lower bounds for the Sándor-Yang mean in terms of the power mean. Mathematics subject classification (2010): 26E60.

We analyse an analog of the entropy-power inequality for the weighted entropy. In particular, we discuss connections with weighted Lieb‘s splitting inequality and an Gaussian additive noise formula. Examples and counterexamples are given, for some classes of probability distributions.