Combinatorial Methods in Statistics

This thesis explores combinatorial methods in random vector balancing, nonparametric estimation, and network inference. First, motivated by problems from controlled experiments, we study random vector balancing from the perspective of discrepancy theory, a classical topic in combinatorics, and give...

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Bibliographic Details
Main Author: Turner, Paxton Mark
Other Authors: Philippe Rigollet
Format: Thesis
Published: Massachusetts Institute of Technology 2022
Online Access:https://hdl.handle.net/1721.1/139383