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Skip to Search Results 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)

Fall 2018
Functional brain connectivity plays an important role on understanding how human brain functions and neuropsychological diseases such as Autism, Attentiondeficit hyperactivity disorder (ADHD), and Alzheimer’s disease (AD). Functional Magnetic Resonance Imaging (fMRI) is one of the most...

Periodic solutions and bistability in a model for cytotoxic Tlymphocyte (CTL) response to human Tcell lymphotropic virus type I (HTLVI)
DownloadFall 2009
HTLVI is the first discovered human retrovirus and a causative agent of both adult Tcell leukemia (ATL) and HTLVIassociated myelopathy (or tropical spastic paraparesis) (HAM/TSP). Previous models have been successful in providing insight into the progression of HTLVI infection. The...

Fall 2018
The main purpose of this thesis is to explore different riskadjusted ratios, add correlation into account and see which one of them accommodates for risk the best way. In finance it is wellknown that investors can not rely on pure return. Some fund managers can produce high return but at the...

Comparison of Sleep State Classification Performance Using Random Forests, Hidden Markov Models, and Nonhomogeneous Hidden Markov Models
DownloadFall 2020
In this work, the CF00N polysomnograph data of 75 patients, with ranging severeties of Obstructive Sleep Apnea (OSA), is presented and analyzed in terms of sleep state classification. The preprocessing and cleaning of each polysomnograph recording were performed in R (R Core Team, 2019) using...

Spring 2019
Let $G$ be a linear algebraic group defined over a ground field $k$, and let $\mu$ be a $\Gal(k^\sep/k)$module.A \tb{cohomological invariant} is a morphism $a:H^1(,G)\to H^n(,\mu)$ of two functors from the category of field extensions over $k$ to the category of setswhere $H^1(,G)$ is the...

Fall 2018
This thesis is about the theory of vertex operator algebras and their representations. Its main results provide new examples of logarithmic C2cofinite vertex operator algebras. These include closure of the characters under modular transformations with explicit determination of the modular...

Amenability and fixed point properties of semitopological semigroups of nonexpansive mappings in Banach spaces
DownloadFall 2016
In this thesis we are interested in fixed point properties of representations of semitopological semigroups of nonexpansive mappings on weak and weak* compact convex sets in Banach or dual spaces. More particularly, we study the following problems : Problem 1 : Let F be any commuting family of...

Fall 2023
$G$structures on fusion categories have been shown to be an important tool to understand orbifolds of vertex operator algebras \cite{Kirillov}\cite{Gcrossedmuger}\cite{Orbifold_Paper}. We continue to develop this idea by generalizing EilenbergMaclane's notion of an Abelian $3$cocycle to...

Fall 2023
Bayesian nonparametric models have gained increasing attention due to their flexibility in modelling natural and social phenomena and have been widely applied in machine learning, biology, social science and so on. Unlike traditional Bayesian parametric models, Bayesian nonparametric models place...

Fall 2023
Many standard approaches for conducting statistical inference on regression parameters rely heavily on parametric assumptions and asymptotic results. The wild bootstrap (Mammen, 1993) was developed as a nonparametric means to estimate a sampling distribution and is particularly useful when...