Blättern Fakultät für Mathematik und Informatik (inkl. GAUSS) nach "Munk, Axel Prof. Dr." Betreuer
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On minimax detection of localized signals from indirect or correlated data
(2022-05-05)This is a cumulative thesis consisting of two papers, in which we treat two problems related to the detectability of local anomalies within certain types of data. In the first paper, we suppose that a segment of a Gaussian ... -
Semiparametric Estimation of Drift, Rotation and Scaling in Sparse Sequential Dynamic Imaging: Asymptotic theory and an application in nanoscale fluorescence microscopy
(2019-02-28)Light microscopy is an important instrument in life sciences. Over the last two decades, superresolution fluorescence microscopy techniques have been established, breaking the Abbé diffraction barrier, which before had ... -
Ein semiparametrisches Verfahren zur Planung und Auswertung von Nichtunterlegenheitsstudien im Cox-Modell
(2012-03-06)In this dissertation we develop a statistical method for planning and evaluating non-inferiority trials for right censored time to event data in the gold standard design. In clinical trials ... -
Simultaneous Confidence Statements about the Diffusion Coefficient of an Ito-Process with Application to Spot Volatility Estimation
(2014-07-28)In this PhD thesis, we address the problem of giving simultaneous confidence statements about local features of the diffusion of an Itô process. To this end, we construct a multiscale test based on weighted quadratic ... -
Statistical and Structural Aspects of Unbalanced Optimal Transport Barycenters
(2022-10-20)Optimal transport (OT) has seen a stellar rise in interest and relevance in the past two decades. More recently, severe limitation of OT have started to surface. Two key factors prevent it from becoming a standard tool in ... -
Statistical Multiscale Segmentation: Inference, Algorithms and Applications
(2014-03-31)This thesis mainly concerns change-point models with independent observations from an exponential family with constant mean in between change-points. An inferential scheme for estimation and confidence statements based ... -
Statistical Optimal Transport and its Entropic Regularization: Compared and Contrasted
(2024-04-26)In recent years, statistical methodology based on optimal transport witnessed a considerable increase in practical and theoretical interest. A central reason for this trend is the ability of optimal transport to compare ... -
Statistische Multiresolutions-Schätzer in linearen inversen Problemen - Grundlagen und algorithmische Aspekte
(2010-12-15)Applications of statistical multiresolution techniques in regression problems have attracted a lot of attention recently. The main reason for this is that the resulting statistical ... -
The Likelihood Ratio Test for Order Restricted Hypotheses in Non-Inferiority Trials
(2003-10-16)In clinical investigations with the goal to evaluate new therapies, the efficacy of a new therapy is usually declared by its superiority over a palcebo or standard. In the last decade new approaches became popular focussing ... -
Variational Estimators in Statistical Multiscale Analysis
(2016-05-24)In recent years, a novel type of multiscale variational statistical approaches, based on so-called multiscale statistics, have received increasing popularity in various applications, such as signal recovery, imaging and ... -
Wasserstein Distance on Finite Spaces: Statistical Inference and Algorithms
(2017-12-07)Wasserstein distances or, more generally, distances that quantify the optimal transport between probability measures on metric spaces have long been established as an important tool in probability theory. More recently, ...