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Fall 2019

Zhang, Jiaxin

High dimensional classification has drawn massive attention due to its increasing application in genetic diagnosis, image or speech recognition and financial analysis. Traditional methods such as Linear Discriminant Analysis (LDA) and Quadratic Discriminant Analysis (QDA), which are optimal Bayes...

Spring 2019

Taylor, Mitchell A.

Suppose $X$ is a vector lattice and there is a notion of convergence $x{\alpha} \xrightarrow{\sigma} x$ in $X$. Then we can speak of an ``unbounded" version of this convergence by saying that $x{\alpha} \xrightarrow{u\sigma} x$ if $\lvert x\alpha-x\rvert \wedge u\xrightarrow{\sigma} 0$ for every...

Fall 2019

Campbell, John

In the Journal of Algebra 323(2010) R. Barrington Leigh et al. derive the characters of the group of invertible 2 x 2 matrices over the integers modulo a power of an odd prime. We will generalize to certain local rings, and take quadratic extensions of this ring , by adjoining the root of a...

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...

Fall 2019

Paul, Sounak

Classical methods of inference are often rendered inapplicable while dealing with data exhibiting heavy tails, which gives rise to infinite variance and frequent extremes, and long memory, which induces inertia in the data. In this thesis, we develop the Marcinkiewicz Strong Law of Large Numbers...

Spring 2019

Yansori, Sina

This thesis addresses two important topics of deflators and log-utility-related optimal portfolios for markets stopped at a random time T. This random time can model the death time of an agent in life insurance or the default time of a firm in credit risk. For the topic of deflators, the thesis...

Fall 2019

Shulman, Lisa

BACKGROUND: Achieving an appropriate gestational weight gain (GWG) is important during pregnancy. Inadequate and excessive GWG have been linked to various negative pregnancy outcomes and future health issues for both the mother and fetus. One useful intervention is to provide individualized...

Spring 2019

Horak, Bohdan

This thesis investigates the hedging of equity-linked life insurance contracts with default time. In such a case the market is no longer complete and as such we consider imperfect hedging technique called Quantile Hedging. This hedging technique maximizes the probability of a successful hedge...

Fall 2019

Ewanchuk, Logan

Recently, a new accounting standard was established, namely the International Financial Reporting Standard 9, requiring banks to build provisions using forward-looking expected loss models. When there is a significant increase in credit risk of a loan, additional provisions must be charged to the...

Spring 2019

Jenan Shtayat

Our main interest has to do with a conjecture of Nori, based on the weak Lefschetz theorem for Betti cohomology.We first prove Nori's conjecture under the assumption of the existence of a Bloch-Beilinson filtration.In the second part of my thesis, I re-prove a result of Paranjape on smooth...