Browsing Mathematics (Faculty of) by Type "Doctoral Thesis"
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Algorithms for Characterizing Peptides and Glycopeptides with Mass Spectrometry
(University of Waterloo, 20130926)The emergence of tandem mass spectrometry (MS/MS) technology has significantly accelerated protein identification and quantification in proteomics. It enables highthroughput analysis of proteins and their quantities in a ... 
Algorithms for Geometric Covering and Piercing Problems
(University of Waterloo, 20130110)This thesis involves the study of a range of geometric covering and piercing problems, where the unifying thread is approximation using disks. While some of the problems addressed in this work are solved exactly with ... 
Algorithms for Normal Forms for Matrices of Polynomials and Ore Polynomials
(University of Waterloo, 2003)In this thesis we study algorithms for computing normal forms for matrices of Ore polynomials while controlling coefficient growth. By formulating row reduction as a linear algebra problem, we obtain a fractionfree ... 
Alternative Approaches for Analysis of Bin Packing and List Update Problems
(University of Waterloo, 20140922)In this thesis we introduce and evaluate new algorithms and models for the analysis of online bin packing and list update problems. These are two classic online problems which are extensively studied in the literature and ... 
Alternative Measures for the Analysis of Online Algorithms
(University of Waterloo, 20100408)In this thesis we introduce and evaluate several new models for the analysis of online algorithms. In an online problem, the algorithm does not know the entire input from the beginning; the input is revealed in a sequence ... 
Analysis of Correlated Data with Measurement Error in Responses or Covariates
(University of Waterloo, 20100930)Correlated data frequently arise from epidemiological studies, especially familial and longitudinal studies. Longitudinal design has been used by researchers to investigate the changes of certain characteristics over time ... 
Analysis of duration data from longitudinal surveys subject to loss to followup
(University of Waterloo, 20100930)Data from longitudinal surveys give rise to many statistical challenges. They often come from a vast, heterogeneous population and from a complex sampling design. Further, they are usually collected retrospectively at ... 
Analysis of Longitudinal Surveys with Missing Responses
(University of Waterloo, 20080912)Longitudinal surveys have emerged in recent years as an important data collection tool for population studies where the primary interest is to examine population changes over time at the individual level. The National ... 
Analysis of MultiState Models with Mismeasured Covariates or Misclassified States
(University of Waterloo, 20150522)Multistate models provide a useful framework for estimating the rate of transitions between defined disease states and understanding the influence of covariates on transitions in studies of the disease progression. ... 
Analysis of some risk models involving dependence
(University of Waterloo, 20100812)The seminal paper by Gerber and Shiu (1998) gave a huge boost to the study of risk theory by not only unifying but also generalizing the treatment and the analysis of various riskrelated quantities in one single mathematical ... 
Analysis of Time Dependent Aggregate Claims
(University of Waterloo, 20160722)Estimation of aggregate claim amounts is a fundamental task in Actuarial science, based on which risk theory, ruin theory and reinsurance theory can be studied. Properties, including moments, Laplace transforms, and ... 
Analytic Combinatorics in Several Variables: Effective Asymptotics and Lattice Path Enumeration
(University of Waterloo, 20170626)The field of analytic combinatorics, which studies the asymptotic behaviour of sequences through analytic properties of their generating functions, has led to the development of deep and powerful tools with applications ... 
Analytics for Everyone
(University of Waterloo, 20180523)Analyzing relational data typically involves tasks that facilitate gaining familiarity or insights and coming up with findings or conclusions based on the data. This process is usually practiced by data experts, such as ... 
Analyzing Quantum Cryptographic Protocols Using Optimization Techniques
(University of Waterloo, 20120522)This thesis concerns the analysis of the unconditional security of quantum cryptographic protocols using convex optimization techniques. It is divided into the study of coinflipping and oblivious transfer. We first examine ... 
Angles, Majorization, Wielandt Inequality and Applications
(University of Waterloo, 20130529)In this thesis we revisit two classical definitions of angle in an inner product space: realpart angle and Hermitian angle. Special attention is paid to Krein’s inequality and its analogue. Some applications are given, ... 
Answering Object Queries over Knowledge Bases with Expressive Underlying Description Logics
(University of Waterloo, 20131025)Many information sources can be viewed as collections of objects and descriptions about objects. The relationship between objects is often characterized by a set of constraints that semantically encode background knowledge ... 
Appearance Changes due to Light Exposure
(University of Waterloo, 20170112)The fading of materials due to light exposure over time is a major contributor to the overall aged appearance of manmade objects. Although much attention has been devoted to the modeling of aging and weathering phenomena ... 
An Application of Matrix Analytic Methods to Queueing Models with Polling
(University of Waterloo, 20190823)We review what it means to model a queueing system, and highlight several components of interest which govern the behaviour of customers, as well as the server(s) who tend to them. Our primary focus is on polling systems, ... 
Application of Mixture Theory to solid tumors and normal pressure hydrocephalus
(University of Waterloo, 20140115)In this thesis, the theory of poroelasticity, namely the Mixture Theory version  a homogenized, macroscopic scale approach used to describe fluid flow through a porous medium  is employed in three separate cases ... 
Applications of claim investigation in insurance surplus and claims models
(University of Waterloo, 20180103)Claim investigation is a fundamental part of an insurer's business. Queues form as claims accumulate and claims are investigated according to some queueing mechanism. The natural existence of queues in this context prompts ...