Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Referee "Krivobokova, Tatyana Prof. Dr."
Now showing items 1-10 of 10
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Robuste ANOVA-Typ-Statistik in hochdimensionalen Mehrgruppendesigns
(2022-08-25)This thesis proves a robustness property of the ANOVA type statistic in repeated measures designs, i.e. experimental designs with multiple measurements of the same scale on the same experimental unit. As the Huynh-Feldt-test, ... -
A Statistical Model of Microscope Resolution
(2020-07-10)A general rule of thumb in imaging is that the resolution of a light microscope depends linearly on the full width at half maximum (FWHM) of its point spread function (psf). In the present work we carefully define a ... -
Essays on Inference in Linear Mixed Models
(2020-05-11)This work addresses two aspects of inference in linear mixed models. It is based on two manuscripts, which are provided as addenda. The first manuscript deals with the distinction between marginal and conditional multiple ... -
Discrete Parameter Estimation for Rare Events: From Binomial to Extreme Value Distributions
(2019-06-13)Estimating a discrete parameter from rare events is a challenging task, since observations are scarce in such situations. In this cumulative dissertation two distinct problems resulting from rare events are discussed and ... -
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 ... -
Partial Least Squares for Serially Dependent Data
(2016-09-12)In the first paper we consider the partial least squares algorithm for dependent data and study the consequences of ignoring the dependence both theoretically and numerically. Ignoring nonstationary dependence structures ... -
Empirical Bayesian Smoothing Splines for Signals with Correlated Errors: Methods and Applications
(2016-08-12)Smoothing splines is a well stablished method in non-parametric statistics, although the selection of the smoothness degree of the regression function is rarely addressed and, instead, a two times differentiable function, ... -
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 ... -
Model choice and variable selection in mixed & semiparametric models
(2015-04-10)Semiparametric and mixed models allow different kinds of data structures and data types to be considered in regression models. Spatial and temporal structures of discrete or spatial data can be treated as flexibly as, ... -
A unified framework for spline estimators
(2013-07-09)This dissertation develops a uni ed framework to study the (asymptotic) properties of all (periodic) spline based estimators, that is of regression, penalized and smoothing splines. The explicit form of the periodic ...