Browsing PhD Dissertations - DO NOT EDIT by Title
Now showing items 116-135 of 154
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Performance of Density Estimators in Additive Measurement Error Models Based on Right Censored Data
(2022-05-09)**Please note that the full text is embargoed until 5/6/2024** ABSTRACT: In the deconvolution problem for right censored data, one is interested in estimating the density of a contaminated variable X when X satisfies Z= ... -
Point Modules Over Regular Graded Skew Clifford Algebras
(Mathematics, 2013-07-22)In this thesis, I consider point modules over regular graded skew Clifford algebras.First, I define a notion of rank (called μ-rank) on noncommutative quadratic forms. To every (commutative) quadratic form is associated a ... -
The Polynomial Chaos Method With Applications To Random Differential Equations
(Mathematics, 2013-10-22)The role of randomness in mathematical models is of paramount importance, with emphasis placed upon the accuracy and reliability of predictions a rational approach is the use of differential equations with random parameters ... -
POSTERIOR NORMAL APPROXIMATION OF REAL-TIME DEGRADATION MODELING USING LAPLACE APPROXIMATION
(2018-09-05)Preventing failure that can cause delays or catastrophe, has been the focus and motivation for engineers, and other establishments that deals with heavy and light machinery, equipment, and devices. One of the biggest ... -
PRECISION MEDICINE: GENE AND CLINICAL DATA ANALYSIS OF RENAL CANCER
(2020-05-12)Recent advances in biotechnology led to generation of large complex biological and clinical data sets that can be used to infer the underlying mechanism of many diseases and arrive at personalized treatments. One of these ... -
Prediction of Remaining Lifetime Distribution from Functional Trajectories Based On Censored Observations
(2019-08-13)The goal in functional data studies on failure time or on death time of the objects is to find a relationship between age-at-death (failure time) and current values of a functional predictors. In this study, a novel technique ... -
Projective Geometry Associated to some Quadratic, Regular Algebras of Global Dimension Four
(2018-05-02)The attempted classification of regular algebras of global dimension four, so-called quantum P³s, has been a driving force for modern research in noncommutative algebra. Inspired by the work of Artin, Tate, and Van den ... -
Properties Of The Pinched Tensor Product
(Mathematics, 2014-12)For complexes of modules we study a new construction, called the pinched tensor product, which was introduced by Lars Winther Christensen and David A. Jorgensen to study Tate homology. We explore properties of the pinched ... -
Property D Cyclic Neofields
In 1948 L. J. Paige introduced the notion of a neofield (N,\oplus,\cdot) as a set N with two binary operations, generally referred to as addition (\oplus) and multiplication (\cdot) such that (N,\oplus) is a loop with ... -
Qualitative Behavior Of Dynamical Vector Fields
(Mathematics, 2007-09-17)Differential Equations come in two classes, deterministic and stochastic. The first part of this analysis establishes the stable properties of the set of all trajectories converging on a critical point in the real plane ... -
Quantized Enveloping Superalgebra of Type P
(2022-05-09)We introduce a new quantized enveloping superalgebra $\mathfrak{U}_q\mathfrak{p}_n$ attached to the Lie superalgebra $\mathfrak{p}_n$ of type P. The superalgebra $\mathfrak{U}_q\mathfrak{p}_n$ is a quantization of a Lie ... -
Regular Algebras Related To Regular Graded Skew Clifford Algebras Of Low Global Dimension
(Mathematics, 2011-10-11)M. Artin, W. Schelter, J. Tate, and M. Van den Bergh introduced the notion of non-commutative regular algebras, and classified regular algebras of global dimension 3 on degree-one generators by using geometry (i.e., point ... -
Representation Theory Of Totally Reflexive Modules Over non-Gorenstein Rings
(Mathematics, 2014-09-17)In the late 1960's Auslander and Bridger published Stable Module Theory, in whichthe idea of totally reflexive modules first appeared. These modules have been studiedby many. However, a bulk of the information known about ... -
Representations of the Extended Poincare Superalgebras in Four Dimensions
(2016-05-13)Eugene Wigner used the Poincare group to induce representations from the fundamental internal space-time symmetries of (special) relativistic quantum particles. Wigner’s students spent considerable amount of time translating ... -
Reproductive Numbers for Periodic Epidemic Systems
(2016-08-09)When using mathematics to study epidemics, often times the goal is to deter- mine when an infection can invade and persist within a population. This can be done in a variety of ways but the most common is to use threshold ... -
Resolutions And Tor Algebra Structures For Trivariate Monomial Ideals
(Mathematics, 2012-07-25)In this manuscript we explore properties of minimal free resolutions and their relationship to the Tor-algebra structure for trivariate monomial ideals. We begin with an in-depth analysis of minimal free resolutions of ... -
Scattering and Inverse Scattering on the Line for a First-Order System with Energy-Dependent Potentials
(University of Texas at Arlington, 2018-05)A first-order system of two linear ordinary differential equations is analyzed. The linear system contains a spectral parameter, and it has two coefficients that are functions of the spatial variable 𝑥. Those two functions ... -
Simple Weight Modules of the Lie Algebra of Vector Fields of C2
(2017-08-14)Classification of the weight modules of the Lie algebra Wn of vector fields on C n has been a long-standing problem in the area of representation theory. In this thesis, a classification of all simple weight modules of W2 ... -
Smooth Quantile Processes For Right Censored Data
(Mathematics, 2013-07-22)The development of an estimator of a quantile function Q(p) is discussed. The smooth nonparametric estimator Qn(p) of a quantile function Q(p) is defined as the solution to Fn(Qn(p)) = p, where Fn is a smooth Kaplan-Meier ... -
Some Multivariate Process Capability Indices
Process capability indices (PCIs) play an important role in the field of Statistical Process Control. Prior to the last 25 years, PCIs had been formulated to assess the quality of a single product characteristic. Product ...