Browsing Electronic Dissertations and Theses  Mathematics by Title
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A Method of Applying an Unbiased Estimator for Monitoring the Weibull Shape Parameter and TimetoEvent Model Using Copula with Accelerated Life Testing
(2013)Two topics are discussed in this dissertation. In chapter 1, we introduce a method for monitoring the Weibull shape parameter beta without specifying the values of nuisance parameters. The control limits depend on the ... 
A Modified ChangWilsonWolff Inequality Via the Bellman Function
(2019)We produce the optimal constant in an inequality bounding the exponential integral of a function by the exponential integral of its dyadic square function. This work is motivated by a well known result due to Chang, Wilson, ... 
A Nonlinear Stability Analysis of Vegetative Turing Pattern Formation for an InteractionDiffusion PlantSurface Water Model System in an Arid Flat Environment
(2011)The development of spontaneous stationary vegetative patterns in an arid flat environment is investigated by means of a weakly nonlinear diffusive instability analysis applied to the appropriate model system for this ... 
AN ENERGYBASED INTERACTION MODEL FOR POPULATION OPINION DYNAMICS WITH TOPIC COUPLING
(2017)Opinion dynamics, also called the opinion game, has gained a great deal of attention during past several decades. It tries to model and explain the evolution of opinions of people in a society. How individuals learn, how ... 
Applications of Generalized Laplacian Matrices in Graph Tiling
(2014)This dissertation is an examination of how generalized Laplacian matrices (in particular, their determinants) may be useful in determining graph tilings. Since there is a very strong connection between the generalized ... 
ASYMPTOTIC ANALYSIS AND BOUNDS OF MULTIVARIATE COHERENT RISK
(2012)A central topic in modern financial and insurance mathematics is the search for new methods to estimate extreme risk (or tail risk) for multivariate financial assets. This research targets this fundamental question about ... 
Boundary Measures and Cubical Covers of Sets in R^n
(2018)The art of analysis involves the subtle combination of approximation, inequalities, and geometric intuition as well as being able to work at different scales. Even the restriction to sets in R^n affords us the opportunity ... 
COMPUTATION OF MULTIVARIATE NORMAL PROBABILITIES USING BIVARIATE CONDITIONING WITH SIMULATION
(2013)We introduce algorithms for block LDL^{t} decompositions of positive definite covariance matrices. These are extensions of the LDL^t decomposition which requires D to be a diagonal matrix. We make use of these algorithms ... 
CONTRIBUTIONS TO THE THEORY OF SEMIDEFINITE PROGRAMMING UNDER UNCERTAINTY
(2012)Stochastic semidefinite programs (SSDPs) were introduced recently as a natural extension of twostage stochastic linear programs and of semidefinite programs. Theoretical results for stochastic linear programs (SLPs) and ... 
DIRECTIONAL DIRECTSEARCH OPTIMIZATION METHODS WITH POLLING DIRECTIONS BASED ON EQUAL ANGLE DISTRIBUTIONS
(2012)Strategies for directional directsearch methods are introduced, including new instances of the Mesh Adaptive Direct Search (Mads) and the Generating Set Search (Gss) class of algorithms, which utilize a more uniform ... 
EIGENSPACES OF TOURNAMENT MATRICES
(2012)In this dissertation we investigate the eigenspaces of tournament matrices. These matrices (and their generalizations) appear in a variety of combinatorial applications (e.g., in biology, sociology, statistics, and networks); ... 
Eventual Cone Invariance
(2017)If $K$ is a proper cone in $\RR^{n}$ some results in the theory of eventually (entrywise) nonnegative matrices have equivalent analogues in eventual $K$invariance. We develop these analogues using the classical ... 
Examining Student Agency in an ActiveLearning Business Calculus Course
(2017)This study explored student agency in an activelearning business calculus course. The lecturestyle instructional practices typically used in this course at this institution allow few opportunities for students to interact ... 
Experimental investigations of a proposed chromophore correlation model of self healing of Disperse Orange 11 doped in Poly (methyl methacrylate)
(2012)We studied photodegradation and recovery of amplified spontaneous emission (ASE) in Disperse Orange 11 dye doped in Poly(methyl methacrylate)(PMMA) as a function of dye concentration and sample temperature. A simple ... 
EXPERIMENTS IN MEDICAL IMAGE SEGMENTATIONS
(2019)Noninvasive Radiology Imaging (e.g. CT, MRI, and PET) have been utilized tremendously in medical study for disease diagnosis, prognostication, and monitoring therapeutic response. And segmenting medical image for regions ...