This thesis has been motivated by two ongoing research projects of the Institute of Stochastics at Ulm University. In the first project it is dealt with the modelling and the analysis of network structures that occur in ...

Software testing, i.e. the systematic execution of the software with the aim of detecting failures, is an essential part of software quality assurance. There are two main problems in software testing. One of them concerns ...

The main focus of this work lies on generalizations of the usual nonparametric density estimation problem to cases where one does not have access to the data associated with the density of interest directly. In the first ...

The aim of this thesis is to highlight the role of semigroup theory in mathematical finance and to provide a class of useful methods. Apart from this special task, several new results concerning invariant subsets of strongly ...

The aim of this thesis is to investigate, implement and apply different techniques of statistical point pattern analysis. In the last years, several projects at the Institute of Stochastics at Ulm University dealt with ...

In this thesis algorithms for coding and decoding algebraic-geometric codes are developed and their implementation is discussed. The algorithms for coding include methods to compute Riemann-Roch spaces and algorithms to ...

All large software systems contain bugs. Therefore the identification and the removal of these bugs is an important and time consuming task, responsible for a large slice of the software development schedule. The testing ...

The objective of this thesis is a precise mathematical description of energy-related commodity futures markets with respect to risk management and derivative pricing. First, we provide a rigorous multivariate statistical ...

Structured finance products represent a relatively young asset class with the first deals dating back to the 1970s. The present thesis provides a framework for modeling such securities. After a detailed discussion of its ...

Following the approach of J.-L. Lions we study non-autonomous Cauchy problems by form methods in this thesis. We replace the assumption of the closedness of the forms by their closability and extend the definition of weak ...