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- 7Frei, Christoph (Mathematical and Statistical Sciences)
- 7Kong, Linglong (Mathematical and Statistical Sciences)
- 7Lewis, Mark (Mathematical and Statistical Sciences)
- 6Han, Bin (Mathematical and Statistical Sciences)
- 6Hillen, Thomas (Mathematical and Statistical Sciences)
- 6Mizera, Ivan (Mathematical and Statistical Sciences)
A discrete flow (S,X) is a semigroup S acting on a set X where both S, and X are equipped with the discrete topology. Amenability of semigroups is a topic that explores the existence of measures that are invariant under the semigroup multiplication. The goal of this thesis is to generalize these...
In this thesis, we prove the non-amenability of the Banach algebra B(E), the banach algebra of all operators on an infinite dimensional Banach space E, where, for p in the interval [1,infinity), E is an infinite dimensional Lp-space in the sense of Lindenstrauss and Pelczynski. In addition, we...
Gliomas, tumours arising from the glial cells of the nervous system, are some of the most difficult tumours to treat. In particular, glioblastoma are a particularly aggressive glioma subtype carrying a life expectancy of only 14 months. Typically, treatment combines surgery, radiation and...
The spatial scan statistic (SSS) has been used for the identification of geographical clusters of higher than expected numbers of cases of a condition such as an illness. Disease outbreaks in a geographic area are a typical example. These statistics can also identify geographic areas with longer...
One popular approach to estimating an unknown function from noisy data is the use of a regularized optimization over a reproducing kernel Hilbert space (RKHS). The solution belongs to a nite-dimensional function space. If we assume the additive measurement noise is Gaussian, then there is a well...
Numerous studies have been devoted to the estimation and inference problems for functional linear models (FLM). However, few works focus on model checking problem that ensures the reliability of results. Limited tests in this area do not have tractable null distributions or asymptotic analysis...
Microarrays are biotechnological advancements measuring expressions of thousands of genes in a single assay. A two-group microarray study yields gene expression measurements for patients with a disease of interest and for healthy controls. Our objective is to apply the methods of microarray data...