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Fall 2016

Amissah, Jeannette

Influenza or the ‘flu’ can affect people from all walks of life. The burden from influenza epidemics puts tremendous pressure on health services and other resources during a flu season. To better prepare for an incoming flu season, clinicians, health services and policy makers have a great...

Spring 2012

Akinlawon, Oludotun J

Replicated regular two-level factorial experiments are very useful for industry. The basic purpose of this type of experiments is to identify active effects that affect the mean and variance of the response. Hypothesis testing procedures are widely used for this purpose. However, the existing...

Fall 2010

Rajani, Vishaal

Single-particle tracking (SPT) is a method used to study the diffusion of various molecules within the cell. SPT involves tagging proteins with optical labels and observing their individual two-dimensional trajectories with a microscope. The analysis of this data provides important information...

Fall 2011

Moreno-Prieto, Monica Rocio

The probability of a species to be present on a certain site is a quantity of interest for monitoring programs. Data for the occupancy of a species is recorded along with habitat covariates that are suspected to relate with its status (presence/absence). The objective of the analysis is to...

Spring 2016

Lu, Ran

In this thesis we will study the robustness property of sub-gaussian random matrices. We first show that the nearly isometry property will still hold with high probability if we erase a certain portion of rows from a sub-gaussian matrix, and we will estimate the erasure ratio with a given small...

2002

Griffith, Darren Paul

Spring 2014

Mazowita, Matthew C

Let G be a locally compact group. It is well-known that G^LUC, the spectrum of the algebra of left uniformly continuous functions on G, the so-called LUC-compactification of G, is a semigroup with product restricted from the Arens product on LUC(G)^*. Now consider the algebra of weighted left...

Fall 2010

Zhao, Hanqing

In this thesis, we develop some new models and efficient algorithms for image denoising. The total variation model of Rudin, Osher, and Fatemi(ROF) for image denoising is considered to be one of the most successful deterministic denoising models. It exploits the non-smooth total variation (TV)...

Fall 2018

Xi Hu

Optimal treatment regime, also called individualized treatment rule, is to seek a rule that assigns a treatment to the subject based on its covariates. It can be used in many areas such as: clinical studies, policy making and economics. In recent years, estimating optimal treatment regime has...

Fall 2014

Tao, Sile

The primary goal of this thesis is to implement the Kiefer-Wolfowitz nonparametric empirical Bayes method for models with multivariate response, using the idea of the dual algorithm outlined in a paragraph from Koenker and Mizera (2014). The approach of Kiefer-Wolfowitz was numerically...