# Mathematics and Statistics Masters Theses

### Theses from 2024

A New Proper Orthogonal Decomposition Method with Second Difference Quotients for the Wave Equation, Andrew Calvin Janes

Comparative Study of Crypto Volatility and Price Forecasting using a Mixture of Time Series and Machine Learning Models, Abhishek Kafle

The Deep BSDE Method, Daniel Kovach

The Exponential Function in Discrete Fractional Calculus under the Delta Operator, Brayton James Link

Cryptographic Algorithms, Cryptocurrencies, and a Predictive Model of Bitcoin Value by Pls Regression, Paul Kenneth O'Connor

### Theses from 2023

The Application of Statistical Modeling to Identify Genetic Associations with Mild Traumatic Brain Injury Outcomes, Caroline Schott

Meta-Analysis of Mesenchymal Stem Cell Gene Expression Data from Obese and Non-Obese Patients, Dakota William Shields

### Theses from 2022

Continuous and discrete models for optimal harvesting in fisheries, Nagham Abbas Al Qubbanchee

Several problems in nonlinear Schrödinger equations, Tim Van Hoose

### Theses from 2020

Decoupled finite element methods for general steady two-dimensional Boussinesq equations, Lioba Boveleth

Quantifying effects of sleep deprivation on cognitive performance, Quang Nghia Le

The application of machine learning models in the concussion diagnosis process, Sujit Subhash

### Theses from 2019

Less is more: Beating the market with recurrent reinforcement learning, Louis Kurt Bernhard Steinmeister

### Theses from 2018

Models for high dimensional spatially correlated risks and application to thunderstorm loss data in Texas, Tobias Merk

An investigation of the influence of the 2007-2009 recession on the day of the week effect for the S&P 500 and its sectors, Marcel Alwin Trick

### Theses from 2017

The pantograph equation in quantum calculus, Thomas Griebel

Comparing region level testing methods for differential DNA methylation analysis, Arnold Albert Harder

A review of random matrix theory with an application to biological data, Jesse Aaron Marks

Family-based association studies of autism in boys via facial-feature clusters, Luke Andrew Settles

### Theses from 2016

Pricing of geometric Asian options in general affine stochastic volatility models, Johannes Ruppert

On the double chain ladder for reserve estimation with bootstrap applications, Larissa Schoepf

### Theses from 2015

Some combinatorial applications of Sage, an open source program, Jessica Ruth Chowning

Day of the week effect in returns and volatility of the S&P 500 sector indices, Juan Liu

Application of loglinear models to claims triangle runoff data, Netanya Lee Martin

### Theses from 2014

Adaptive wavelet discretization of tensor products in H-Tucker format, Mazen Ali

An iterative algorithm for variational data assimilation problems, Xin Shen

Statistical analysis of sleep patterns in Drosophila melanogaster, Luyang Wang

### Theses from 2013

Statistical analysis of microarray data in sleep deprivation, Stephanie Marie Berhorst

Immersed finite element method for interface problems with algebraic multigrid solver, Wenqiang Feng

### Theses from 2012

Abel dynamic equations of the first and second kind, Sabrina Heike Streipert

Lattice residuability, Philip Theodore Thiem

### Theses from 2011

A time series approach to electric load modelling, Matthias Benjamin Noller

### Theses from 2010

Closed-form solutions to discrete-time portfolio optimization problems, Mathias Christian Goeggel

Inverse limits with upper semi-continuous set valued bonding functions: an example, Christopher David Jacobsen

### Theses from 2009

The analogue of the iterated logarithm for quantum difference equations, Karl Friedrich Ulrich

### Theses from 2008

The dynamic multiplier-accelerator model in economics, Julius Severi Heim

Dynamic equations with piecewise continuous argument, Christian Keller

### Theses from 2007

Ostrowski and Grüss inequalities on time scales, Thomas Matthews

The Black-Scholes equation in quantum calculus, Christian Müttel

Computerized proofs of hypergeometric identities: Methods, advances, and limitations, Paul Nathaniel Runnion

Screening for noise variables, Lisa Trautwein

### Theses from 2006

Distance function applications of object comparison in artificial vision systems, Christina Michelle Ayres

Sensitivity analysis on the relationship between alcohol abuse or dependence and wages, Tim Jensen

Sensitivity analysis on the relationship between alcohol abuse or dependence and annual hours worked, Stefan Koerner

Endogeneity bias and two-stage least squares: a simulation study, Xujun Wang

### Theses from 2005

Local compactness of the hyperspace of connected subsets, Robbie A. Beane

A sequential approach to supersaturated design, Angela Marie Jugan

Tests for gene-treatment interaction in microarray data analysis, Wanrong Yin

### Theses from 2003

Pricing of European options, Dirk Rohmeder

Prediction intervals for the binomial distribution with dependent trials, Florian Sebastian Rueck

### Theses from 2002

The use of a Marakov dependent Bernoulli process to model the relationship between employment status and drug use, Kathrin Koetting

### Theses from 2000

Inverse limits on [0,1] using sequences of piecewise linear unimodal bonding maps, Brian Edward Raines

### Theses from 1998

A two-stage step-stress accelerated life testing scheme, Phyllis E. Pound Singer

### Theses from 1997

Some properties of hereditarily indecomposable chainable continua, Thomas John Kacvinsky

### Theses from 1996

The Axiom of Choice, well-ordering property, Continuum Hypothesis, and other meta-mathematical considerations, Daniel Collins

### Theses from 1994

### Theses from 1986

Investigating the output angular acceleration extrema of the planar four bar mechanism, Matthew H. Koebbe

### Theses from 1984

Approximating distributions in order restricted inference : the simple tree ordering, Tuan Anh Tran

### Theses from 1982

Goodness-of-fit for the Weibull distribution with unknown parameters and censored sampling., Michael Edward Aho

### Theses from 1979

On L convergence of Fourier series., William O. Bray

### Theses from 1977

Characterizations of inner product spaces., John Lee Roy Williams

### Theses from 1975

A study of several substitution ciphers using mathematical models., Wanda Louise Garner

### Theses from 1974

Models for molecular vibration, Allan Bruce Capps

The completions of local rings and their modules., Christopher Scott Taber

Linear geometry, Phyllis L. Thomas

### Theses from 1971

Integrability of the sums of the trigonometric series 1/2 aₒ + ∞ [over] Σ [over] n=1 a_{n} cos nΘ and ∞ [over] Σ [over] n=1 a_{n} sin nΘ, John William Garrett

Inclusion theorems for boundary value problems for delay differential equations, Leon M. Hall

### Theses from 1965

A study of certain conservative sets for parameters in the linear statistical model, Roger Alan Chapin

Comparison of methods to select a probability model, Howard Lyndal Colburn

Latent class analysis and information retrieval, George Loyd Jensen

Linear and quadratic programming with more than one objective function, William John Lodholz

Tschebyscheff fitting with polynomials and nonlinear functions, George F. Luffel

### Theses from 1964

The effect of matrix condition in the solution of a system of linear algebraic equations., Herbert R. Alcorn

Estimation and tabulation of bias coefficients for regression analysis in incompletely specified linear models., Harry Kerry Edwards

A study of a method for selecting the best of two or more mathematical models, August J. Garver

A study of methods for estimating parameters in the model y(t) = A₁e^{-p₁t} + A₂e^{-p₂t} + ϵ, Gerald Nicholas Haas

A parameter perturbation procedure for obtaining a solution to systems of nonlinear equations., James Carlton Helm

A study of stability of numerical solution for parabolic partial differential equations., Tsang-Chi Huang

A numerical study of Van Der Pol's nonlinear differential equation for various values of the parameter E., Charles C. Limbaugh

A study on estimating parameters restricted by linear inequalities, William Lawrence May

Minimization of Boolean functions., Don Laroy Rogier

A method to give the best linear combination of order statistics to estimate the mean of any symmetric population, Robert M. Smith

On a numerical solution of Dirichlet type problems with singularity on the boundary., Randall Loran Yoakum

### Theses from 1963

A study of methods for estimating parameters in rational polynomial models, Thomas B. Baird

Investigation of measures of ill-conditioning, Thomas D. Calton

A study of methods for determining confidence intervals for the mean of a normal distribution with unknown varience by comparison of average lengths, Karl Richard Kneile

Stability properties of various predictor corrector methods for solving ordinary differential equations numerically., Charles Edward. Leslie

Mathematical techniques in the solution of boundary value problems., Vincent Paul Pusateri

A modified algorithm for Henrici's solution of y' ' = f (x,y), Frank Garnett Walters

### Theses from 1962

An investigation of Lehmer's method for finding the roots of polynomial equations using the Royal-McBee LGP-30, James W. Joiner

### Theses from 1931

The spinning top, Aaron Jefferson Miles