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Connecting the Dots: Network Testing, Community Estimation, and Genomic Applications
(2024-05-09)
This thesis presents three self-contained chapters: a global detection test in the mixed membership Stochastic Block Model (SBM), a community estimation algorithm in the dynamic degree-corrected mixed membership SBM, and ...
Equitable Infectious Disease Modeling for Data-Constrained Settings and Data-Overlooked Populations
(2024-05-10)
For infectious diseases, social factors have played a long-neglected yet crucial role in modifying infection risk, aggravating disease severity, and determining adverse health, social, and economic post-infection outcomes. ...
Methods in Longitudinal Policy Evaluation
(2024-05-31)
This dissertation consists of three essays on methods and applications for longitudinal health policy evaluation. The first chapter studies the effects of random variation in the timing of two government benefits on ...
Problems in Variable Selection: False Discovery Rate Control and Variational Inference
(2024-05-07)
Variable selection plays a key role in modern high-dimensional statistics. This dissertation provides a comprehensive survey of theory and methods developed by the author and collaborators, with a specific focus on two ...
Inferring Conditional Dependencies in Observational Studies: Nuisance Function Tuning and Transfer Learning
(2024-05-31)
Conditional dependence estimation problems are ubiquitous in the statistical inference literature. Two questions that arise in such estimation problems are (i) how to estimate nuisance functions for optimal downstream ...
Statistical Methods for the Study of Effect Modification and Spatial Causal Inference: Theory and Applications
(2024-05-09)
More and more, scientists and policymakers are interested in using quantitative methods to answer complex causal questions across diverse contexts. This thesis proposes and implements statistical methods for inferring ...