Browsing by Department "Mathematics and Statistics"
Now showing items 61-80 of 283
A Distribution-Free Control Chart for Retrospective Location Analysis of Subgrouped Multivariate Data
(2011-09-08)
In multivariate quality control, a proper Phase I analysis is essential to the success of Phase II monitoring. Even self-starting methods, which seek to minimize the Phase I process, usually recommend a single retrospective ...
Dynamical Behavior of Nonautonomous and Stochastic HBV Infection Model
(2020-12-04)
Mathematical modeling of population and transmission dynamics of an infectious disease considered a critical theoretical epidemiology method provides a strong understanding of the virus dynamics. This dissertation studies ...
Dynamics and Optimal Control of the Growth of the Gut Microbiome with Varying Nutrient
(2023-07-27)
The human gut microbiome consists of all the microbes that make up the human intestinal tract, and many diseases are associated with certain microbial compositions in the gut. First, a mathematical model describing the ...
Dynamics of Chemotaxis Models in Heterogeneous Environments
(2019-06-07)
Chemotaxis describes the oriented movements of biological cells or organisms in response to chemical gradients in their environments and is crucial for many aspects of behaviour such as the location of food sources, ...
Dynamics of Chemotherapy Models with Variable Infusion and Time Delays
(2020-07-23)
Chemotherapy is a fundamental and commonly used form of cancer treatment, usually done with the application of a chemotherapy agent to the infected individual. The chemotherapy agent targets fast-growing cells including ...
Edge-Regular Graphs with Lambda=2
(2019-07-23)
A graph G is edge-regular with parameters n, d, and λ if V(G)=n, the degree of every vertex of G is d, and for any pair of adjacent vertices u and v, N_G(u)∩N_G(v)=λ. We say such graphs are in ER(n,d,λ). In this dissertation ...
Efficient and Robust Classification for Positive Definite Matrices with Wasserstein Metric
(2021-04-16)
Riemannian geometry methods are widely used to classify SPD (Symmetric Positives-Definite) matrices, such as covariances matrices of brain-computer interfaces. Common Riemannian geometry classification methods are based ...
Efficient Numerical Algorithms for Solving Nonlinear Filtering Problems
(2014-06-18)
Examples of nonlinear filtering problems arise in biology, mathematical finance, signal processing, image processing, target tracking and many engineering applications. Commonly used numerical simulation methods are the ...
Efficient Rank Regression with Wavelet Estimated Scores
(2011-07-07)
Wavelets have been widely used lately in many areas such as physics, astronomy, biological
sciences and recently to statistics. The main goal of this dissertation is to provide
a new contribution to an important problem ...
Elementary Submodels of Function Spaces
(2023-08-11)
In this thesis we develop the now-standard tool of elementary submodels and apply the technique to topological function spaces. We show that many cardinal relations regarding function spaces hold in suitable models. ...
Embedding and Coloring Designs
(2023-05-04)
This dissertation focuses on two problems in design theory. Techniques from graph theory are frequently utilized and therefore the proofs may also be of interest to graph theorists.
The first problem focuses on ...
Enclosings of Small Cycle Systems
(2009-04-28)
In 2003 Hurd and others considered the problem of enclosing a triple system TS(v; lambda)
in a triple system TS(v + s; lambda + m), focusing on smallest possible enclosings. In
the second chapter, their result is generalized ...
Equitable Block-Colorings of Graph-Decompositions and Tiling Generalized Petersen Graphs
(2018-04-23)
A $C_4$-decomposition of $K_v - F$, where $F$ is a $1$-factor of $K_v$ and $C_4$ is the cycle on $4$ vertices, is a partition $P$ of $E(K_v - F)$ into sets, each element of which induces a $C_4$ (called a block). A function ...
Estimating Cell-Type Profiles and Cell-Type Proportions in Heterogeneous Gene Expression Data
(2012-05-16)
Understanding the mechanisms underlying natural variation in gene expression is an important question in medical and evolutionary genetics. Many studies intend to compare either (i) cell-type expression profiles across ...
Estimation of Semi-parametric Functional-coefficient Panel Data Models with Fixed Effects
(2020-07-20)
We consider the problem of estimating a semiparametric varying coefficient panel data model where the unobserved individual effects are correlated with explanatory variables in an unknown arbitrary way using a local linear ...
Euclidean Szlam Numbers
(2016-08-04)
Suppose X ⊆ R n , for some positive integer n, is closed under vector addition, ρ a
translation invariant distance function on X, and D ⊆ (0, ∞). The distance graph G ρ (R n , D)
is the graph with vertex set R n with u, ...
Evading Triangles without a map
(2010-01-06)
We divise a heuristic which enables a traveler to traverse the plane from a start point S to a target point T while evading unknown obstacles. The obstacles are assumed to be equilateral triangles which are all translates ...
Evaluating the Agreement of Methods using Gaillard-Makki Method
(2017-07-31)
In many laboratory studies such as medicine, fisheries, and chemistry comparison of two different methods of measurement is of great importance. These measurements are critical when the methods are changed, a new or ...
Evaluation of Statistical and Machine Learning Methods on Predicting One-way Shear Strength of Reinforced Concrete Beams
(2022-02-10)
It is a well-known fact that predicting shear strength of concrete beams is a very complex topic. The traditional approach is to assume that the shear strength is the sum of the concrete contribution (Vc) and the shear ...
Exact Comparision of Hazard Rate Functions of Log-Logistic Survival Distributions
(2008-08-15)
A comparison of hazard rates of multiple treatments are compared under the assumption that survival times follow the log-logistic distribution. Exact test procedures are developed for ordered comparisons of the worst case ...