Browsing by Department "Mathematics and Statistics"
Now showing items 241-260 of 283
Robust Variable Selection Methods for Grouped Data
(2015-07-23)
When predictor variables possess an underlying grouping structure in multiple regression, selecting important groups of variables is an essential component of building a meaningful regression model. Some methods exist to ...
A Robust Version of Hotelling's T2 Control Chart for Retrospective Location Analysis of Individuals Using BACON Estimators
(2012-02-13)
Hotelling's T2 chart is commonly used for Phase I analysis of individual multivariate normally distributed data. However, the presence of only a few outliers can significantly distort classical estimates of location and ...
Scattering Resonances for Three-dimensional Subwavelength Holes
(2021-07-19)
This thesis aims to investigate scattering resonances and the field amplification at resonant frequencies for two different subwavelength structures: The first structure is a cavity with a closed bottom and width $\varepsilon$ ...
Security and secure-dominating sets in graphs
(2014-04-29)
All graphs in this paper are finite and simple. Let G = (V;E) be a graph, x an element of V and
S a subset of V. Following convention, we let N(x) := {u : where ux is an element of E} and N[x] := {x}union N(x). For
S, ...
Security, (F,I)-security, and Ultra-security in Graphs
(2012-08-02)
Let G=(V,E) be a graph and S a subset of V. The notion of security in graphs was first presented by Brigham et al [3]. A set S is secure if every attack on S is defendable. The cardinality of a smallest secure set of G ...
Semi-Supervised Classification Techniques in Big Data Text Analytics
(2013-04-22)
Imagine that you are trying to read everything you got in 2011 as soon as possible. That will take the first three months of 2012. How can we get access to the vast unstructured literature, automatically process it, ...
Semiparametric Estimation for Integral Projection Models
(2020-07-21)
Understanding the connection between variation in climate and population dynamics of plants and animals is important for predicting the impacts of future climate change. A popular approach for studying population dynamics ...
Simple Techniques for Detecting Decomposability or Indecomposability of Generalized Inverse Limits
(2012-05-01)
A continuum X is said to be decomposable if it can be written as a union of two proper subcontinua; otherwise, X is said to be indecomposable. For years, topologists have used inverse limits with continuous bonding functions ...
Single Index Model for Tensor Data: Theory and Application
(2021-09-09)
Modern scientific applications are frequently producing data sets where the data are not in the form of vectors but instead higher order tensors. For instance, multi-channel MEG signals in biomedical engineering, gene ...
Slow Coloring Cyclic Permutation Graphs
(2021-04-12)
The slow coloring game is played by two players, Lister and Painter, on a graph \(G\). In round \(i\), Lister marks a nonempty subset of \(V(G)\), which we'll call \(M\). By doing this he scores \(|M|\) points. Painter ...
The Slow-Coloring Game on Path Power Graphs
(2022-11-16)
The Slow-Coloring Game is a game played on a graph G by two players which we will refer to as Lister and Painter. In the ith round, Lister marks a nonempty subset M of V (G) of uncolored vertices as eligible to receive ...
Solvability and exact moment asymptotics for the interpolated stochastic heat and wave equation and the existence of an invariant measure for a special case.
(2022-08-05)
This thesis will consist of two main projects, Chapters 2 and 4, and a smaller project in Chapter 3. We will be studying a general space-time fractional stochastic partial differential equation in Chapters 2 and 3 and the ...
Solving the Inverse Kinematic Robotics Problem: A Comparison Study of the Denavit-Hartenberg Matrix and Groebner Basis Theory
(2007-08-15)
The aim is to analyze two very di®erent methods for solving the inverse kinematic
robotics problem. The ¯rst method, called the Engineering Approach, uses the Denavit-
Hartenberg Matrix, and the second method, called the ...
Some Geometry of Symmetrized Tensor Spaces
(2014-05-01)
In this paper we investigate the geometry of symmetrized tensor spaces using a construct known as a coset space. We find that, for a group G, certain pairings of subgroups and irreducible characters give rise to ...
Some Necessary Conditions for List Colorability of Graphs and a Conjecture on Completing Partial Latin Squares
(2008-12-15)
Let C be an infinite set of symbols, F the collection of finite subsets of C. A function
L is a list assignment to a graph G if L assigns to each vertex of G a finite subset of C.
A proper L-coloring occurs when adjacent ...
Some Systems of Ordinary Differential Equations from Cancer Modeling: Qualitative Analysis and Optimal Treatment
(2011-07-25)
In this thesis, we study four systems of ordinary differential equations, which model the interrelationships between different cell populations while tumor cells exist, and treatments, such as immunotherapy, chemotherapy, ...
Space-Time Fractional Cauchy Problems and Trace Estimates for Relativistic Stable Processes
(2013-07-16)
Fractional derivatives can be used to model time delays in a diffusion process. When the order of the fractional derivative is distributed over the unit interval, it is useful for modeling a mixture of delay sources. In ...
Spatial Spread and Front Propagation Dynamics of Nonlocal Monostable Equations in Periodic Habitats
(2011-07-25)
This dissertation is concerned with spatial spread and front propagation dynamics of
monostable equations with nonlocal dispersal in spatially periodic habitats. Such equations
arise in modeling the population dynamics ...
Spatial Spread Dynamics of Monostable Equations in Spatially Locally Inhomogeneous Media with Temporal Periodicity
(2013-05-31)
This dissertation is devoted to the study of semilinear dispersal evolution equations.
These type of equations are called as Monostable or KPP type equations, which arise
in modeling the population dynamics of many ...
Stars and Hyperstars
(2012-07-02)
A \textit{$k$-star} is a complete bipartite graph $K_{1,k}$, and a hypergraph $G=(X,\mathcal{E})$ is a \textit{hyperstar} with center $C$ if $\displaystyle C\subseteq\bigcap_{E\in\mathcal{E}}E$. Given (hyper)graphs $G$ ...