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Fall 2014

Mohammadi, Farhood

Missing data is common in health and medical experiments including con- trolled clinical trials. Using only the complete cases for analysis may cause biased inferences or even controversial results. Assuming that the data are missing at random (MAR), various methods have...

Fall 2015

Zhu, Yunan

Graphical models are frequently used to explore networks among a set of variables. Several methods for estimating sparse graphs have been proposed and their theoretical properties have been explored. There are also several selection criteria to select the optimal estimated models. However, their...

Fall 2012

Kovacev-Nikolic, Violeta

The main goal of this thesis is to explore various applications of persistent homology in statistical analysis of point-cloud data. In the introduction, after a brief historical overview, we provide some of the underlying concepts of persistence. Starting from Chapter 2 the focus is on analysis...

Fall 2020

Mathieu Chalifour

In this work, the CF00N polysomnograph data of 75 patients, with ranging severeties of Obstructive Sleep Apnea (OSA), is presented and analyzed in terms of sleep state classification. The pre-processing and cleaning of each polysomnograph recording were performed in R (R Core Team, 2019) using...

Fall 2013

Zhao, Bangxin

In this thesis, two robust and efficient methods of estimation are examined in dose-response studies context. In particular, we investigate the minimum Hellinger distance estimation and symmetric chi-squared distance methods of estimation. We support our theoretical results with extensive finite...

Fall 2014

Wai, Kevin

Financial systemic crisis could be broadly understood as the deterioration of the banking sector which results in damage to the real economy. From elementary accounting, a firm's financial position can be characterized by the value of its asset holdings versus the amount it borrow from others. If...

Fall 2021

Niu, Yeli

This thesis includes 2 parts. Part 1 is: Discretization on High Dimensional Compact Domains. Part 2 is: Polynomial Approximation on High Dimensional Spheres. A special example for part 1 is the result on the unit sphere of high-dimensional Euclidean spaces. In chapter 2, we obtained general...