Search results | J. Murrey Atkins Library

Title: THE SEMIPARAMETRIC MARK-SPECIFIC PROPORTIONAL HAZARDS MODEL FOR MULTIVARIATE MARKS VIA A SINGLE-INDEX
Author: Shao, Yuehan
Date Created: 2020
Subjects--Topical: Statistics, Mathematics
Description: Competing risk analysis is commonly applied to time-to-event data with finitely many causes of failure. It alters the probability of the occurrence of an event of interest broken down by a specific cause. Motivated by the HIV vaccine efficacy tria...

Title: THE BRAID INDICES OF ALTERNATING LINKS
Author: Liu, Pengyu
Date Created: 2018
Subjects--Topical: Mathematics
Description: It is well known in knot theory that any link can be represented by a closed braid and the braid index of a link is the invariant defined as the minimum number of strands in any closed braid representing the link. It is difficult in general to det...

Title: Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
Author: Fairchild, Michael
Date Created: 2015
Subjects--Topical: Mechanical engineering, Robotics, Mathematics
Description: This dissertation introduces new models for the locomotion and control of mechanical and hydrodynamic systems that exhibit symmetry, constraints, and control. I introduce the class of unbalanced Chaplygin control systems and analyze the dynamics a...

Title: Statistical Inference of Semiparametric Cox-Aalen Transformation Models with Failure Time Data
Author: Ning, Xi
Date Created: 2023
Subjects--Topical: Biometry, Statistics
Description: Failure time data are commonly encountered in epidemiological and biomedical studies, where the exact time of an event may be unknown or incomplete. Many semiparametric models have been developed in the literature to analyze such data; however, th...

Title: Semiparametric Additive Hazards Models with Missing Covariates
Author: Subedi, Pramesh
Date Created: 2021
Subjects--Topical: Statistics, Biometry
Description: The case-cohort study design was originally proposed by Prentice (1986). Under this design,a random sub-cohort of individuals is selected from the cohort of study. Full covariate data are collected from all the cases in the cohort and the sub-coho...

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: RANDOMIZED NUMERICAL LINEAR ALGEBRA FOR KERNEL MATRIX COMPRESSION
Author: Maniar, Saumya Kandarp
Date Created: 2020
Subjects--Topical: Mathematics
Description: Matrices are used significantly as a medium to store data in many applications likeData Science, Computer Science, Statistics, and Applied Mathematics. Matrix computationslike matrix multiplication, matrix inversion, eigenvalue decomposition, sing...

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: Path Integral Methods Using Feynman-Kac Formula and Reflecting Brownian Motions for Neumann and Robin Problems
Author: Zhou, Yijing
Date Created: 2016
Subjects--Topical: Mathematics
Description: In this dissertation, we propose numerical methods for computing the boundary local time of reflecting Brownian motion (RBM) in 3d and its use in the probabilistic representation of the solution of the Laplace equation with the Neumann and Robin b...

Title: Optimal multiple stopping: theory and applications
Author: Crosby, Gary
Date Created: 2017
Subjects--Topical: Mathematics
Description: The classical secretary problem was an optimal selection thought experiment for a decision process where candidates with independent and identically distributed values to the observer appear in a random order and the observer must attempt to choos...

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: On the Infinite Divisibility and Non Infinite Divisibility of Certain Classes of Random Variables
Author: Stukes, George
Date Created: 2023
Subjects--Topical: Mathematics
Description: In this dissertation we present new results on the classification of limit distributions of random geometric processes. In particular, that develop on the work of Penrose and Wade, who were the first to document the phenomenon of infinite divisibi...

Title: OPTION VALUATION UNDER A REGIME-SWITCHING MODEL USING THE FAST FOURIER TRANSFORM
Author: Sohrabi, Elham
Date Created: 2018
Subjects--Topical: Finance, Mathematics
Description: In this dissertation, we consider European-style commodity options and futures options where the logarithm of the underlying commodity price dynamics is governed by the regime-switching Ornstein-Uhlenbeck model. A semi-analytical approach to value...

Title: Numerical models of COVID-19
Author: Cung, Benjamin
Date Created: 2021
Subjects--Topical: Mathematics
Description: COVID-19 is an ongoing infectious disease where individuals progress through the following four stages: susceptible (S), exposed (E), infected (I), and recovered (R). The standard mathematical model for the spread of such diseases through a large ...

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: Non-parametric Estimation of Information-theoretic Quantities in Entropic Perspective
Author: Zhang, Jialin
Date Created: 2019
Subjects--Topical: Statistics
Description: Introduced by Shannon, mutual information is a fundamental brick of information theory for its essential role in measuring association on non-ordinal alphabets. Mutual information being zero is a golden property as it indicates a probabilistic ind...

Title: Non-nested Model Selection via Empirical Likelihood
Author: Zhao, Cong
Date Created: 2017
Subjects--Topical: Statistics
Description: In this dissertation we propose an empirical likelihood ratio (ELR) test to conductnon-nested model selection. It allows for heteroscedasticity and works for any twosupervised statistical learning methods under mild conditions. We establish asympt...

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: Multivariate Functional Predictor Selection
Author: Mahzarnia, Ali
Date Created: 2021
Subjects--Topical: Mathematics, Statistics
Description: We propose methods for functional predictor selection and the estimation of smooth functional coefficients simultaneously in a scalar-on-function regression problem under a high-dimensional multivariate functional data setting. In particular, we d...

Title: March Madness prediction using quantile regression
Author: Mays, Kimberly
Date Created: 2022
Subjects--Topical: Statistics, Mathematics
Description: The annual NCAA Division I men’s basketball tournament is one of the most prominent sporting events in the United States and the subject of much interest among fans and statisticians alike. In this work, we propose a new method for predicting ther...