We prove a central limit theorem (CLT) for the Fréchet mean of independent and identically distributed observations in a compact Riemannian manifold assuming that the population Fréchet mean is unique. Previous general CLT results in this setting have assumed that the cut locus of the Fréchet mean lies…
Background During the COVID-19 pandemic there has been a strong interest in forecasts of the short-term development of epidemiological indicators to inform decision makers. In this study we evaluate probabilistic real-time predictions of confirmed cases and deaths from COVID-19 in Germany and Poland…
Strategies to contain the current SARS-CoV-2 pandemic rely, beside vaccinations, also on molecular and serological testing. For any kind of assay development, screening for the optimal antigen is essential. Here we describe the verification of a new protein microarray with different commercially available…
London: Macmillan Publishers Limited, part of Springer Nature, 2022-05-22
Disease modelling has had considerable policy impact during the ongoing COVID-19 pandemic, and it is increasingly acknowledged that combining multiple models can improve the reliability of outputs. Here we report insights from ten weeks of collaborative short-term forecasting of COVID-19 in Germany and…
Die projektive Form eines Objektes ist die geometrische Information, die invariant unter projektiven Transformationen ist.
Sie tritt natürlicherweise bei der Rekonstruktion von Objekten anhand Fotos unkalibrierter Kameras auf.
Wenn ein Objekt als Punktmenge oder Konfiguration von Landmarken im d-dimensionalen…
The mean of data on the unit circle is defined as the minimizer of the average squared Euclidean distance to the data. Based on Hoeffding’s mass concentration inequalities, non-asymptotic confidence sets for circular means are constructed which are universal in the sense that they require no distributional…
In der vorliegenden Dissertation werden differential-algebraische
Gleichungen (differential-algebraic equations, DAEs) der Form $\ddt E x =
Ax + f$ betrachtet, wobei $E$ und $A$ beliebige Matrizen sind. Falls $E$
nichtverschwindende Einträge hat, dann kommen in der Gleichung Ableitungen
der entsprechenden…