Research Interests
- Efficient design of experiments
- development of optimal and efficient concepts for the design of experiments in high-dimensional systems for various factors of influence and different types of interactions;
- algorithms to achieve, at most, polynomial complexity in the dimension by use of group and number theoretical structures;
- efficient design of experiments for nonlinear response and nonparametric regression;
- efficient design of experiments for diverse models with both static and stochastic effects
- Sequential procedures in statistics
- modelling of two and multi-stage groupsequential procedures (interim analysis);
- stopping times and asymptotic behavior of fullsequential procedures;
- stochastic approximation;
- limit theorems for the asymptotic behavior of stochastically disturbed systems;
- sequential and adaptive design of experiments
- Statistics in applications
- strategies for creating interactive questionnaires in market research (efficient design in conjoint analysis);
- biometric methods for early detection, follow-up and visualization of perimetrically observable visual pathway lesions;
- modelling and design of population pharmacokinetic studies (SKAVOE: More secure and more cost-effective development of pharmaceuticals with the aid of optimal experimental design);
- Adaptive generation of intelligence tests for the measurement of general intelligence (Optimal design for online-generated adaptive test procedures for intelligence tests);
- Design and analysis of equivalence and non-inferiority trials with multidimensional end points (MÄQNU: Multivariate equivalence and non-inferiority test for highdimensional end points)