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Department of Mathematics & Statistics
Math

This page will be updated approximately every semester to provide a sampling of some of the theses and special projects undertaken by our graduate students.

Name

Semester

Advisor

Title

Allan Juma

Fall 2018

Dr. Song Foh Chew

Community Detection Using Combined Algorithms and Structure Strength Measurement

Huiqing Zhou

Fall 2018

Dr. G. Stacey Staples

Elementary Functions and Their Inverses on Zeons

Justin Roundcount

Fall 2018

Dr. Junvie Pailden

K-groups: an alternative to K-means clustering

Ricky Hua

Fall 2018

Dr. Ma Zenia Agustin

Simulation Comparison of Survival Functions with Right Censored Data

Amanda Davis

Summer 2018

Dr. G. Stacey Staples 

Boolean Satisfiability, Graph Problems, and Zeons

Yasaman Panjebandpour

Summer 2018

Dr. Marcus Agustin

Simulation Study of System Reliability Under Imperfect Debugging

Erin Haake

Summer 2018

Dr. G. Stacey Staples

Zeon Solutions of Quadratic Equations

Eric Grubbs

Summer 2018

Dr. Marcus Agustin

Estimating System Reliability Using Maximum Likelihood Estimators and Bootstrap Confidence Intervals

Melissa Darch

Spring 2018

Dr. James Parish

Characterizing Classes of Quadrilaterals and Hexagons

Simon Ellis

Spring 2018

Dr. Myung-Sin Song

A Comparison of Fourier Analysis and Multiresolution Analysis

Theresa Lindell

Spring 2018

Dr. G. Stacey Staples

Norm Inequalities in Zeon Algebras

Kip Brown

Spring 2018

Dr. Junvie Pailden

A Comparison of Causal Inference Estimators in Observational Studies

Jon Yoch

Fall 2017

Dr. Zenia Agustin

Logistic Regression with Application to Starting Pitching Outcomes in Major League Baseball

Maduka Balasooriya    

Summer 2017

Dr. Song Foh Chew, Dr. Sinan Onal

Applications of Operation Research Techniques for Detection of Anatomical Structures in Medical Images

Wen Lian

Summer 2017

Dr. Andrew Neath

An Investigation of Type S Error Probabilities and Multiple Comparisons under a Bayesian Framework

Mehrdad Alvandipour  

Summer 2017

Dr. Gregory Budzban

Cellular Automata, Game of Life and Chance

Alex Weygandt

Spring 2017

Dr. G. Stacey Staples 

Extension of Elementary Functions to Zeons

Patrick Gu

Spring 2017

Dr. Myung-Sin Song

Introduction to Wavelets with Applications in Image Processing

Michelle Berry

Fall 2016

Dr. Andrew Neath

Empirical Bayes and the James-Stein Estimator

Mahya Aghaee

Summer 2016

Dr. Urszula Ledzewicz

Analysis of Dynamics and Optimal Control for an SIR Epidemiological Model with

Time-varying Populations

Angela (Yingying) Lu  

Summer 2016

Dr. Song Foh Chew

Community Detection in Graphs Using Genetic Algorithms and Structure Strength Measurement

Timothy Young

Summer 2016

Dr. Zenia Agustin

Estimating Stock Price Volatility for Application in the Black-Scholes Option Pricing Formula

Jean M. Campbell

Summer 2016

Dr. Andrew Neath

Empirical Bayes Estimation of the False Discovery Rate in Large Scale Testing Problems

Andrea Jenkins

Summer 2016

Dr. Edward Sewell

An Explanation and Exploration of A Branch, Bound, and Remember Algorithm for the Simple Assembly Line Balancing Problem

Michael Lanier

Summer 2016

Dr. Andrew Neath

The Use of Likelihood Inference for Quantifying Statistical Evidence

Cazareo Rodriquez

Summer 2016

Dr. Andy Bartlett

Detecting Change Points in Climatic Data Using Extreme Values

Lisa Dollar

Summer 2016

Dr. G. Stacey Staples 

Square and kth Root Properties of Zeons

Tiffany Stellhorn

Summer 2016

Dr. G. Stacey Staples 

An Extension of Nilpotent Adjacency Matrices for Graph Coloring

Sanduni Palliyage

Spring 2016

Dr. Marcus Agustin

Optimal burn-in time of a software

Katie Kizzire

Summer 2015

Dr. Junvie Pailden

Shrinkage Procedures in Linear Regression

Brent Naritoku

Summer 2015

Dr. Song Foh Chew

Queuing Systems with Variable-Size Services

Rhonda Johnson

Summer 2015

Dr. Andrew Neath

The Necessity of Prior Information in Statistical Hypothesis Testing

Chris Glynn

Spring 2015

Dr. Andrew Neath

A Summary of Meta-Analysis Models

Georgia Mueller

Spring 2015

Dr. Steve Rigdon

Power for Weibull Regression When the Shape Parameter is Not Constant

Kristina Thompson

Fall 2014

Dr. Marcus Agustin

Dr. Zenia Agustin

An Introduction to the Cox Proportional Hazards Model and Its Applications to Survival Analysis

Thomas Brent James

Fall 2014

Dr. Marcus Agustin

Estimating Component Reliability For Masked Failure Data

Darren Olsen

Fall 2014

Dr. Song Foh Chew

Detecting Communities in Graphs Using a Structural Measure and Shaping Algorithm

Ryan Rzeszutko

Fall 2014

Dr. Song Foh Chew

Queueing Systems with Flexible Queue Capacity and Servers

Nicole Titus

Fall 2014

Dr. Zenia Agustin

An Overview of Disease Cluster Detection with Applications in Illinois

Ben Bishop

Summer 2014

Dr. Song Foh Chew

Complex Networks Generated Over Time

David Wylie

Summer 2014

Dr. G. Stacey Staples

Factoring Blades and Versors in Euclidean Clifford Algebras

Adam Armstrong

Spring 2014

Dr. Zenia Agustin

Using Multi-State Models for Life Contingencies

Stacie Banjavcic

Spring 2014

Dr. Edward Sewell

Bidirectional Shortest Path with New Heuristic

Thomas Edwards

Spring 2014

Dr. Song Foh Chew

Methods for Subset Sum Problems with an Item Count Constraint Inspired by Test Construction Problems, with Possible Extensions into Goal Programming

Steven Atteberry

Fall 2013

Dr. Marcus Agustin

A Stopping Time for Testing a Series System

Casey Babb

Fall 2013

Dr. Song Foh Chew

Using Structural Magnetic Resonance Imaging and Graph Theory to Measure Complexity in a Network of Brain Structures in Human Subjects with Major Depressive Disorder

Sarah Burkhardt

Fall 2013

Dr. Andrew Neath

A Comparison of Item Response Models for Nonignorable Noresponse

Janean Overbey

Fall 2013

Dr. Song Foh Chew

Queuing Theory with Flexible Servers

Katherine Schwent

Summer 2013

Dr. Cindy Traub

Perimeter-Halving the One-by-Two Rectangle

Shuai Hao

Summer 2013

Dr. Adam Weyhaupt

An Introduction to Discrete Minimal Surface via the Enneper Surface

Ehsan Jahanpour

Summer 2013

Dr. Andrew Neath

A Study of Frequentist Error Probabilities From a Bayesian Perspective

Kelly Ayres

Spring 2013

Dr. Andrew Neath

Bayesian and Frequentist Hypothesis Testing in Analysis of Variance

Viliana Rizova

Spring 2013

Dr. Steve Rigdon

Kalman Filter Model for Election Prediction

Seongpil Hon

Spring 2013

Dr. Song Foh Chew

Queueing Theory-Based Terror Plots Detection

Lauren Cleeton

Spring 2013

Dr. Andrew Neath

A Decision Theoretic comparison of the Boyesian and Frequentist Approaches to Estimation

Jessica Gerwitz

Spring 2013

Dr. Marcus Agustin

Determining Record Scanning Profitability for the National Personnel Records Center Using a Pure Birth Process

Tiwatayo Fadero

Fall 2012

Dr. Song Foh Chew

Continuous Service M/M/1 Queuing Systems

Matt Gillespie

Fall 2012

Dr. Zenia Agustin

Modeling the Term Structure of Interest Rates Using Possibilistic Fuzzy Regression

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