Search
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)
-
Spring 2017
In this thesis, we study penalized methods in time series and functional data analysis. In the first part, we introduce regularized periodograms for spectral analysis of unevenly spaced time series. The regularized periodograms, called regularized least squares periodogram and regularized...
-
Fall 2018
The main purpose of this thesis is to explore different risk-adjusted ratios, add correlation into account and see which one of them accommodates for risk the best way. In finance it is well-known that investors can not rely on pure return. Some fund managers can produce high return but at the...
-
Periodic solutions and bistability in a model for cytotoxic T-lymphocyte (CTL) response to human T-cell lymphotropic virus type I (HTLV-I)
DownloadFall 2009
HTLV-I is the first discovered human retrovirus and a causative agent of both adult T-cell leukemia (ATL) and HTLV-I-associated myelopathy (or tropical spastic paraparesis) (HAM/TSP). Previous models have been successful in providing insight into the progression of HTLV-I infection. The...
-
Fall 2012
The main goal of this thesis is to explore various applications of persistent homology in statistical analysis of point-cloud data. In the introduction, after a brief historical overview, we provide some of the underlying concepts of persistence. Starting from Chapter 2 the focus is on analysis...
-
Fall 2016
Topology is a useful tool of mathematics studying how objects are related to one another by investigating their qualitative structural properties, such as connectivity and shape. In this thesis, we applied the method of topological data analysis (TDA) on sequence data and adopt the theory of...
-
Fall 2009
This research presents the results of two interrelated sets of experiments examining the dynamics of plumes and fountains in two-layer and continuously stratified environments. The first study examines the evolution of an axisymmetric turbulent fountain in a two-layer stratified environment....
-
Positive definite functions and spherical h-harmonic expansions with negative indices on spheres
DownloadFall 2021
This thesis consists of the following two parts: In the first part, we investigate the relationship between positive definite functions on the unit sphere and in the Euclidean space with the same dimensions. For the dimension d is odd, a new technique is developed to establish the inheritance of...