Search results | J. Murrey Atkins Library

Title: Estimation of Semivarying Coefficient Models for Counting Processes with Applications
Author: Deng, Liqiu
Date Created: 2019
Subjects--Topical: Mathematics
Description: Recurrent events are very common in many different fields, including biological, medical, engineering and finance. Existing research have developed methodologies to model constant covariate effects and time-dependent covariate effects. However, in...

Title: Goodness-of-Fit Tests Under Permutations
Author: Chen, Chen
Date Created: 2019
Subjects--Topical: Statistics, Mathematics, Information science
Description: Several new goodness-of-fit tests are proposed on countable alphabets, where certain fundamental statistical concepts associated with random variables, such as cumulative distribution functions, characteristic functions and moments, may not exist....

Title: HIGH CONFIDENCE SET REGULARIZATION IN SPARSE HIGH DIMENSIONAL LOGISTIC REGRESSION WITH MEASUREMENT ERROR
Author: Rao, Maorong
Date Created: 2019
Subjects--Topical: Mathematics
Description: l1 based regularization such as Lasso and Dantizg Selector succeed in two aspects. First,the inherent sparsity of l1 accords with the underlying nature of high dimensional data; second, the convexity essence paves the way to computational feasibil...

Title: High throughput non-parametric probability density estimation via novel multithreaded stitching method
Author: Merino, Zach
Date Created: 2019
Subjects--Topical: Mathematics, Statistics, Physics
Description: A method of univariant probability density function (pdf) estimation is developed for big data applications. The method employs the use of a non-parametric maximum entropy estimator (NMEM) for a data driven multithreaded probability density estima...

Title: Inverse source problems for elliptic and parabolic equations
Author: Li, Qitong
Date Created: 2019
Subjects--Topical: Mathematics
Description: In this dissertation, we solve two inverse problems. The first one is the inverse source problem for the Helmholtz equation that governs the wave propagating in anisotropic media. The second one is to recover the initial condition for parabolic eq...

Title: Neumann functions and image systems of the Laplacian in the spheroidal geometry
Author: Edmiston, Robert
Date Created: 2019
Subjects--Topical: Mathematics
Description: We apply the method of image charges from electrostatics to the study of the Neumannfunction for the Laplace operator, equivalent to the Green's function with a Neumannboundary condition imposed. Such an analysis has previously been given for the ...

Title: Number Rings and Dedekind Domains
Author: Harrison, Mary
Date Created: 2019
Subjects--Topical: Mathematics
Description: In this paper, we study number rings and their factorization properties. We begin with an introduction to number fields and number rings. Then we consider the ring Z[i], which is a unique factorization domain, where each element factors uniquely i...

Title: ON THE DISCRETE SPECTRUM OF EXTERIOR ELLIPTIC PROBLEMS.
Author: Puri, Rajan
Date Created: 2019
Subjects--Topical: Mathematics
Description: In this dissertation, we present three new results in the exterior elliptic problems with the variable coefficients that describe the process in inhomogeneous media in the presence of obstacles. These results concern perturbations of the operator ...

Title: OPTIMAL STRATEGIES IN "LOCKS, BOMBS AND TESTING" (LBT) PROBLEM FOR THE CASE OF INDEPENDENT PROTECTION
Author: Liu, Li
Date Created: 2019
Subjects--Topical: Mathematics, Statistics, Operations research
Description: This thesis constructs a Defense/Attack resource allocation model. Defender uses "locks" to protect their boxes from Attacker, and Attacker uses "bombs" to destroy as many boxes as possible. The first models of such type were given by E. Borel (19...

Title: On the spectral theory of 1-D Schrodinger operator with random sparse potentials
Author: Cook, Thomas
Date Created: 2019
Subjects--Topical: Mathematics
Description: The goal of this dissertation is to develop a spectral theory for the Schr\"odinger operator with sparse random potential. To do this, we will first reformulate theories for sparse deterministic potentials. This includes a general development of t...

Title: Population Dynamics with Immigration
Author: Han, Dan
Date Created: 2019
Subjects--Topical: Mathematics
Description: The paper contains the complete analysis of the Galton-Watson models with immigration, including the processes in the random environment, stationary or nonstationary ones. We also study the branching random walk on Zd with immigration and prove th...

Title: Quantification of Profile Measurement Data
Author: Javidpour, Farid
Date Created: 2019
Subjects--Topical: Mechanical engineering, Mathematics, Civil engineering
Description: Parts with complicated freeform shapes have been attracting more attention in industrial applications in recent decades. In most systems, the functional performance of these parts is directly related to the conformity of their profile with the des...

Title: SCHWARZ METHODS FOR FOURTH-ORDER PROBLEMS CONTAINING SINGULARITIES
Author: Palta, Birce
Date Created: 2019
Subjects--Topical: Mathematics
Description: We develop numerical methods for analysis of fourth-order partial differential equations on domains with angular corners. For the finite element analysis of fourth-order partial differential equations, we have to use smoother basis functions whose...

Title: SOLUTION OF A 1-D INVERSE PROBLEM BY THE CONVEXIFICATION METHOD
Author: Abney, Ray
Date Created: 2019
Subjects--Topical: Mathematics, Physics
Description: In this thesis, we demonstrate a method outlined by Dr. Mikhail Klibanov for solving a 1-D coefficient inverse problem by the convexification method. Our inverse problem in question concerns finding buried bombs, where the dielectric constants of ...

Title: Understanding the Probability Literacy of High School Students
Author: Coon, Fred
Date Created: 2019
Subjects--Topical: Mathematics--Study and teaching, Education, Mathematics
Description: This multi-case study examined high school students’ probability literacy, with focus on randomness, independence, and sample space. Task-based interviews were used with ten high school students. A Levels of Understanding Matrix (LUM), that was cr...