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Statistical methods for analyzing genetic sequencing association studies
Case-control genetic sequencing studies are increasingly being conducted to identify rare variants associated with complex diseases. Oftentimes, these studies collect a variety of secondary traits--quantitative and qualitative ...
Robust Semi-Parametric Inference in Semi-Supervised Settings
In this dissertation, we consider semi-parametric estimation problems under semi-supervised (SS) settings, wherein the available data consists of a small or moderate sized labeled data (L), and a much larger unlabeled data ...
On the Statistical Properties of Epidemics on Networks
One major aim of statistics is to systematically study outcomes of interest in a population by observing the properties of a sample of that population. Some outcomes, such as the total number of people infected in an ...
Statistical Methods for Estimating the Effects of Multi-Pollutant Exposures in Children's Health Research
We develop statistical strategies to explore how time-varying exposures to heavy metal mixtures affects cognition and cognitive trajectories in children. In chapter 1, we develop a Bayesian model, called Lagged Kernel ...