The method of moments (MOM) is used to estimate parameters in the LLd. setup in introductory statistics courses. This method, however, is quickly set aside in favor of the method of maximum likelihood (ML). The main justification for this is the asymptotic efficiency of ML estimates if the assumed model is correct. We will argue that, in some situations, MOM estimates are actually better than M...

The occurrence of strange non-chaotic attractors (SNA) in quasiperiodically forced systems has attracted considerable interest over the last two decades, in particular since it provides a rich class of examples for the possibility of complicated dynamics in the absence of chaos. Their existence was discovered in the early 1980’s, independently by Herman [1] for quasiperiodic SL(2, R)-cocycles a...

We consider solutions to the equation detDφ = μ when μ has a doubling property. We prove new geometric characterizations for this doubling property (by means of the so-called engulfing property) and deduce the quantitative behaviour of φ. Also, a constructive approach to the celebrated C-estimates proved by L. Caffarelli is presented, settling one of the open questions posed by C. Villani in [11].

This article suggests a unified framework for testing Proof of Concept and estimating a target dose for the benefit of a more comprehensive, robust and powerful analysis in phase II or similar clinical trials. From a pre-specified set of candidate models we choose the ones that best describe the observed dose-response. To decide which models, if any, significantly pick up a dose effect we const...

This article suggests a unified framework for testing Proof of Concept (PoC) and estimating a target dose for the benefit of a more comprehensive, robust and powerful analysis in phase II or similar clinical trials. From a pre-specified set of candidate models, we choose the ones that best describe the observed dose-response. To decide which models, if any, significantly pick up a dose effect, ...