Browsing Mathematics (Faculty of) by Title
Now showing items 911-930 of 2994
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The Erdős Pentagon Problem
(University of Waterloo, 2018-12-20)The Erdős pentagon problem asks about the maximum number of copies of C_5 that one can find in a triangle-free graph. This problem was posed in 1984, but was not resolved until 2012. In this thesis, we aim to capture the ... -
Erosion, Self-Organization, and Procedural Modeling
(University of Waterloo, 2015-01-16)Procedural modeling of natural objects such as coastlines and terrains in combination with their characteristic erosion features involves integration of appropriate physical models with the procedural approach and culminates ... -
Error Bounds and Singularity Degree in Semidefinite Programming
(University of Waterloo, 2020-01-24)An important process in optimization is to determine the quality of a proposed solution. This usually entails calculation of the distance of a proposed solution to the optimal set and is referred to as forward error. ... -
Error Correction of Second-Generation Sequencing Reads
(University of Waterloo, 2014-12-16)The introduction of second-generation DNA sequencers has enabled researchers to explore biological information in ways never before possible. These sequencers provide increased throughput over first-generation sequencers ... -
Error Detection in Number-Theoretic and Algebraic Algorithms
(University of Waterloo, 2008-08-26)CPU's are unreliable: at any point in a computation, a bit may be altered with some (small) probability. This probability may seem negligible, but for large calculations (i.e., months of CPU time), the likelihood of an ... -
Error-Tolerant Coding and the Genetic Code
(University of Waterloo, 2006)The following thesis is a project in mathematical biology building upon the so-called "error minimization hypothesis" of the genetic code. After introducing the biological context of this hypothesis, I proceed to develop ... -
Establishing a Connection Between Graph Structure, Logic, and Language Theory
(University of Waterloo, 2015-09-08)The field of graph structure theory was given life by the Graph Minors Project of Robertson and Seymour, which developed many tools for understanding the way graphs relate to each other and culminated in the proof of the ... -
Estimating Risk-adjusted Process Performance with a Bias/Variance Trade-off
(University of Waterloo, 2017-01-12)Decision makers responsible for managing the performance of a process commonly base their decisions on an estimate of present performance, a comparison of estimates across multiple streams, and the trend in performance ... -
Estimating the COVID-19 R number: a bargain with the devil?
(Elsevier, 2020-10-22)The basic reproduction number R0 is the average number of infections produced by a single infectious person in a population with no immunity. R0 has a close relative named the effective reproduction number R: the average ... -
Estimation and allocation of insurance risk capital
(University of Waterloo, 2007-05-15)Estimating tail risk measures such as Value at Risk (VaR) and Conditional Tail Expectation (CTE) is a vital component in financial and actuarial risk management. The CTE is a preferred risk measure, due to coherence and ... -
Estimation and Assessment of Markov Multistate Models with Intermittent Observations on Individuals
(Springer, 2015-04)Multistate models provide important methods of analysis for many life history processes, and this is an area where John Klein made numerous contributions. When individuals in a study group are observed continuously so ... -
Estimation and Goodness of Fit for Multivariate Survival Models Based on Copulas
(University of Waterloo, 2009-08-20)We provide ways to test the fit of a parametric copula family for bivariate censored data with or without covariates. The proposed copula family is tested by embedding it in an expanded parametric family of copulas. When ... -
Estimation and Hypothesis Testing for Stochastic Differential Equations with Time-Dependent Parameters
(University of Waterloo, 2012-09-21)There are two sources of information available in empirical research in finance: one corresponding to historical data and the other to prices currently observed in the markets. When proposing a model, it is desirable to ... -
Estimation and prediction methods for univariate and bivariate cyclic longitudinal data using a semiparametric stochastic mixed effects model
(University of Waterloo, 2018-06-19)In this thesis, I propose and consider inference for a semiparametric stochastic mixed model for bivariate longitudinal data; and provide a prediction procedure of a future cycle utilizing past cycle information. This ... -
Estimation and Testing of the Jump Component in Levy Processes
(University of Waterloo, 2013-10-25)In this thesis, a new method based on characteristic functions is proposed to estimate the jump component in a finite-activity Levy process, which includes the jump frequency and the jump size distribution. Properties of ... -
Estimation for Linear and Semi-linear Infinite-dimensional Systems
(University of Waterloo, 2019-05-21)Estimating the state of a system that is not fully known or that is exposed to noise has been an intensely studied problem in recent mathematical history. Such systems are often modelled by either ordinary differential ... -
Estimation of Finite Population Duration Distributions from Longitudinal Survey Panels with Intermittent Followup
(Springer, 2013)We consider survival or duration times associated with spells (sojourns in some state) or events experienced by individuals in a population over a specified time period. Duration distributions can be estimated from data ... -
The Estimation of Stochastic Models in Finance with Volatility and Jump Intensity
(University of Waterloo, 2018-10-26)This thesis covers the parametric estimation of models with stochastic volatility, jumps, and stochastic jump intensity, by FFT. The first primary contribution is a parametric minimum relative entropy optimal Q-measure ... -
Evaluating and Characterizing the Performance of 802.11 Networks
(University of Waterloo, 2017-09-05)The 802.11 standard has become the dominant protocol for Wireless Local Area Networks (WLANs). As an indication of its current and growing popularity, it is estimated that over 20 billion WiFi chipsets will be shipped ... -
Evaluating and Comparing Generative-based Chatbots Based on Process Requirements
(University of Waterloo, 2023-12-06)Business processes refer to the sequences of tasks and information flows needed to achieve a specific goal. Such processes are used in multiple sectors, such as healthcare, manufacturing, banking, among others. They can ...