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2002

Sullivan, Stephen.

Fall 2020

Maher, Robert

The first part of this thesis presents an exposition of some of the links between integrability, matrix models and Airy structures. We first introduce the notion of an integrable hierarchy and a tau function. We then probe tau functions further by considering matrix integrals. These are...

Fall 2019

Reimer, Jody Renae

Climate change is causing the Arctic to warm faster than anywhere else on earth. The projected effects of a warmer Arctic include changes in population dynamics and distributions, biodiversity, food web structure, and ecosystem services. Our ability to successfully monitor ecological changes and...

Spring 2015

Deng, Bo

For matched-pair data with a multinomial reponse, the Stuart-Maxwell test (1955, 1970) and the Bhapkar test (1966) are commonly used to test the marginal homogeneity. However, in medical research, many studies for assess- ing safety consider multiple multinomial endpoints to detect the treatment...

Fall 2016

Nosrati, Amir

In this thesis, we study the impact of random times to model and manage unpredictable risk events in the financial models. First, as a generalization of the classical Neyman-Pearson lemma, we show how to minimize the probabil- ity of type-II-error when the null hypothesis, alternative and the...

Fall 2017

Yu, Dengdeng

In this thesis, we study the partial quantile regression methods in functional data analysis. In the first part, we propose a prediction procedure for the functional linear quantile regression model by using partial quantile covariance techniques and develop a simple partial quantile regression...

Fall 2016

Farr, Quinton R

Ferrofluids are liquids with a magnetic colloid suspended by Brownian motion which become magnetized in the presence of an external magnetic field. They have recently garnered a lot of interest due to their wide range of applications in industry and biomedicine. For example, ferrofluids are used...

Fall 2017

Khajeh Alijani, Maryam

This thesis studies operator splitting for flow equation coupled to a transport equation arising from two-phase (water-oil) model in reservoir simulation. We apply two different types of operator splittings and compare their accuracies. Summarized scheme and alternating triangle method (ATM) in...

Fall 2019

Huang, Qianhong

This thesis focuses on the measure algebra M(S) of a locally compact semitopological semigroup S. In particular, we consider the analog of the group algebra L1(G) of a locally compact group G on S and the topological amenability of S. Among other results which shall be explained further in...

Spring 2012

Rivasplata, Omar D

In this thesis probability estimates on the smallest singular value of random matrices with independent entries are extended to a class of sparse random matrices. We show that one can relax a previously used condition of uniform boundedness of the variances from below. This allows us to consider...