# Mathematics and Statistics Dissertations

### Dissertations from 2024

Dynamics and Inverse Problems for Nonlinear Schrödinger Equations, Christopher Hogan

### Dissertations from 2023

Recurrent Event Data Analysis with Mismeasured Covariates, Ravinath Alahakoon Mudiyanselage

Advances in Differentially Methylated Region Detection and Cure Survival Models, Daniel Ahmed Alhassan

Efficient High Order Ensemble for Fluid Flow, John Carter

Essays on Conditional Heteroscedastic Time Series Models with Asymmetry, Long memory, and Structural Changes, K C M R Anjana Bandara Yatawara

### Dissertations from 2022

Survivor bond models for securitizing longevity risk, Priscilla Mansah Codjoe

Variational data assimilation for two interface problems, Xuejian Li

Semiparametric estimation with clustered right censored data via multivariate gaussian random fields, Fathima Zahra Sainul Abdeen

DATA-DRIVEN MODELING AND SIMULATIONS OF SEISMIC WAVES, Yixuan Wu

### Dissertations from 2021

Prediction intervals for fractionally integrated time series and volatility models, Rukman Ekanayake

Proper orthogonal decomposition: New approximation theory and a new computational approach, Sarah Katherine Locke

Modeling time series with conditional heteroscedastic structure, Ratnayake Mudiyanselage Isuru Panduka Ratnayake

Integrating snp data and imputation methods into the DNA methylation analysis framework, Yuqing Su

Count data time series models and their applications, Yi Zhang

### Dissertations from 2020

Fuzzy logistic regression for detecting differential DNA methylation regions, Tarek M. Bubaker Bennaser

Pattern selection models: From normal to anomalous diffusion, Hatim K. Khudhair

### Dissertations from 2019

New reproducing kernel Hilbert spaces on plane regions, their properties, and applications to partial differential equations, Jabar S. Hassan

Dendrites or lambda-dendroids as generalized inverse limits, Faruq Abdullah Mena

Decoupling methods for the time-dependent Navier-Stokes-Darcy interface model, Changxin Qiu

Novel statistical modeling of sleep patterns in Drosophila melanogaster, Luyang Wang

Modeling of HIV, SIR and SIS epidemics on time scales and oscillation theory, Gülşah Yeni

### Dissertations from 2018

Incremental proper orthogonal decomposition for PDE simulation data: Algorithms and analysis, Hiba Fareed

On modeling quantities for insurer solvency against catastrophe under some Markovian assumptions, Daniel Jefferson Geiger

Cox-type model validation with recurrent event data, Muna Mohamed Hammuda

New developments of dimension reduction, Lei Huo

HDG methods for Dirichlet boundary control of PDEs, Yangwen Zhang

### Dissertations from 2017

T-closed sets, multivalued inverse limits, and hereditarily irreducible maps, Hussam Abobaker

Programming problems on time scales: Theory and computation, Rasheed Basheer Al-Salih

Local holomorphic extension of Cauchy Riemann functions, Brijitta Antony

A harmonic M-factorial function and applications, Reginald Alfred Brigham II

Numerical investigation on nonlocal problems with the fractional Laplacian, Siwei Duo

Bootstrap-based confidence intervals in partially accelerated life testing, Ahmed Mohamed Eshebli

A functional data analytic approach for region level differential DNA methylation detection, Mohamed Salem F. Milad

Zero-dimensional spaces and their inverse limits, Sahika Sahan

Balanced Truncation Model Reduction of Nonlinear Cable-Mass PDE System, Madhuka Hareena Lochana Weerasinghe

### Dissertations from 2016

Small sample confidence bands for the survival functions under proportional hazards model, Emad Mohamed Abdurasul

Modeling daily electricity load curve using cubic splines and functional principal components, Abdelmonaem Salem Jornaz

Pointwise and uniform convergence of fourier series on SU(2), Donald Forrest Myers

Existence and classification of nonoscillatory solutions of two dimensional time scale systems, Özkan Özturk

### Dissertations from 2015

Discrete analogues of some classical special functions, Thomas Joseph Cuchta

Small sample saddlepoint confidence intervals in epidemiology, Pasan Manuranga Edirisinghe

On testing common indices for several multi-index models: A link-free approach, Xuejing Liu

Discrete and dynamic population models with logistic growth rate, Sabrina Heike Streipert

Volterra difference equations, Nasrin Sultana

Small sample UMPU equivalence testing based on saddlepoint approximations, Renren Zhao

Essays on unit root testing in time series, Xiao Zhong

### Dissertations from 2014

On some inferential problems with recurrent event models, Withanage Ajith Raveendra De Mel

### Dissertations from 2013

Sparse group sufficient dimension reduction and covariance cumulative slicing estimation, Bilin Zeng

### Dissertations from 2012

Lifetime prediction and confidence bounds in accelerated degradation testing for lognormal response distributions with an Arrhenius rate relationship, Steven Michael Alferink

Periodic q-difference equations, Rotchana Chieochan

Economics and finance on time scales, Julius Severin Heim

Small sample inference for exponential survival times with heavy right-censoring, Noroharivelo Volaniaina Randrianampy

Sieve bootstrap based prediction intervals and unit root tests for time series, Maduka Rupasinghe

### Dissertations from 2011

Minimal and near minimal congruence lattice representations of finite lattices by finite algebras on sets of integers, Roger Lee Bunn

Modeling hourly electricity prices: a structural time series approach incorporating modified GARCH innovations, Edirisinghe Mudiyanselage Asitha Edirisinghe

Probability theory on time scales and applications to finance and inequalities, Thomas Matthews

### Dissertations from 2009

Holomorphic extensions in toric varieties, Malgorzata Aneta Marciniak

The Kalman filter on time scales, Nicholas J. Wintz

### Dissertations from 2008

Inverse limits of permutation maps, Robbie A. Beane

A modified approach for obtaining sieve bootstrap prediction intervals for time series, Purna Mukhopadhyay

Stochastic dynamic equations, Suman Sanyal

Estimating bounds for nonidentifiale parameters using potential outcomes, Thidaporn Supapakorn

### Dissertations from 2007

Distributional aspects of P-value and their use in multiple testing situations, Xiaojun Hu

### Dissertations from 2006

A likelihood ratio test of endogeneity for binary independent variables, Xu Cao

Parameter estimation for a finite mixture model in high dimensional applications, Qinfang Xiang

### Dissertations from 2005

Integral representations and holomorphic extension on toric varieties, Alexey Alexandrovich Kytmanov

Bootstrap prediction intervals for multivariate time series, Florian Sebastian Rueck

Statistical methods for the analysis of aerosol concentration data, Yi Ye

### Dissertations from 2003

Automorphism groups of resolvable incidence structure, Grant Harlan Lathrom

### Dissertations from 2002

Applications of temporal logic to assembly and disassembly sequences, Murat Atmaca

Tauberian theorems for convergence and subsequential convergence of sequences with controlled oscillatory behavior, Fi̇li̇z Di̇k

Tauberian theorems for sequences with moderately oscillatory control moduli, Mehmet Di̇k

The geometry of map equations for trochoids, Sibel Pasali

### Dissertations from 2000

On a characterization of W-sets, Jonathan Robert Hatch

Considerations of the dynamics of the Poincaré map acting on the attractor of the Newton-Leipnik system, Benjamin Arthur Marlin

### Dissertations from 1998

Weighted Sidon sets, Katherine Marie Vassallie Adams

Some ranking and selection procedures for the Weibull distribution based on the shape parameter, Jeanne Sue Hill

Predictive density estimation in life testing, Ananda Jayawardhana

Irreducibility of inverse limits on intervals, David James Ryden

Tauberian theorems for generalized Abelian summability methods, ʻbrahi̇m ßanak

### Dissertations from 1997

Analytic solutions of nth order differential equations at a singular point, Brian Haile

### Dissertations from 1993

Fixed point theory for non-self maps, Linda Marie Saliga

### Dissertations from 1992

A class of entire functions generated by integral transforms: theory and applications, Everett D. McCoy

### Dissertations from 1991

Convergence of Fourier series and representations of Fourier and Fourier-Stieltjes coefficients, Dimitrios G. Natsis

Concerning the expansive property and shift homeomorphisms of inverse limits, Fredrick Edward Worth

### Dissertations from 1990

Properties of estimators of concave regression functions, Dietrich William Kuhlmann

### Dissertations from 1989

Semigroups of functions on nearness spaces and near completely homogeneous spaces, Rhonda Louise McKee

### Dissertations from 1988

Some order restricted inferences in nonhomogeneous poisson processes, James Michael Guffey

### Dissertations from 1987

Fixed point theory and stability results for fixed point iteration procedures, Alberta Marie Harder

Tests for and against a stochastic ordering between multinomial populations: the general case, Larry Albert Lucas

### Dissertations from 1985

Comparing a set of K statistical populations with respect to a control, Linda Marie Penas

### Dissertations from 1982

Extensions, generalizations, characterizations and testing for independence through infinite divisibility, Edward Joul Danial

Topic in isotonic regression, Rhonda Cheryl Lank Magel

### Dissertations from 1981

On the integrability and L¹-convergence of trigonometric series, William O. Bray

### Dissertations from 1980

Solutions of differential inequalities and existence theorems for multi-point boundry value problems, Paul W. Eloe

Mathematical modeling process applied to reflector design, Judith Ann Hankins

Algorithms for fixed points of nonexpansive operators, Michael Donald Humphries

### Dissertations from 1978

Some results on inferences for the gamma and double exponential distributions, John Victor Grice

Locally quasi-uniform structures and strongly complete quasi-uniform structures, Shirley Carpenter Huffman