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Fall 2017

Li, Yin

This thesis specializes in statistical issues involving crossover designs, a very popular design in clinical trials for comparing non-curative treatments for their efficacy. The popularity stems from the fact that each experimental subject receives a sequence of trial treatments rather than one...

Spring 2017

Emami, Pedram

The importance of simulating fluid flow is indisputable. From weather forecasting to aviation to the blood flow inside our arteries, fluid flow significantly influences our everyday life. Among all possible fluid regimes, one is dominant in many physical applications. Turbulence, sometimes...

Fall 2022

Hall, Meghan

From the mechanical processes that produce the convolutions in the human brain needed for complex thought, to the precise and controlled movements derived by intuitive calculations of body position in figure skating, mechanics plays a role in everything we do. In this thesis, we apply and examine...

Fall 2006

Romanyuk, Yuliya

Fall 2017

Kong, Jude D

This thesis focuses on formulating and analyzing non linear models for microbial dynamics vis-a-vis human and environmental health. Firstly, we develop and investigate a stoichiometric organic matter decomposition model in a chemostat culture that incorporates the dynamics of grazers. This...

Fall 2018

Alsemary, Haya

This thesis investigates the important statistical tool of Esscher transform with its applications in mathematical finance for various environments. This transformation was introduced by F. Esscher and it became very popular afterwards, in both actuarial sciences and finance due to its role in...

Fall 2012

Lin, Xihui

Most recent studies on delay differential equations are mainly focused on local stability analysis, stability switches, and local existence of Hopf bifurcations with only one delay included, while the global existence of Hopf bifurcation and stability analysis with two delays are hardly...

Fall 2016

Hu,Rui

Robust Designs for Model Discrimination and Prediction of a Threshold Probability” In the first of the two projects comprising this thesis we consider the construction of experimental designs aimed at the elucidation of a functional relationship between a response variable and various covariates,...

Fall 2016

Salame, Khadime

In this thesis we are interested in fixed point properties of representations of semi-topological semigroups of non-expansive mappings on weak and weak* compact convex sets in Banach or dual spaces. More particularly, we study the following problems : Problem 1 : Let F be any commuting family of...

Spring 2014

Niu, Xiaoqing

The class of finite mixture models is widely used in many areas, including science, humanities, medicine, engineering, among many others. Testing homogeneity is one of the important and challenging problems in the application of finite mixture models. It has been investigated by many researchers...