Statistical Hypothesis Testing in the Modern Age
Abstract: Hypothesis testing is one of the most classical problems in statistics: Given samples from a distribution, were they generated according to some model? In the modern age, we face a number of new challenges, including high dimensions, model misspecification, data sensitivity, and small amounts of data in comparison to massive distribution domain sizes. I'll present a series of vignettes on some recent works in distribution testing, which settle classical problems in the field as well as study some new challenges which arise in modern data analysis. Namely:
Based on joint works with Jayadev Acharya, Bryan Cai, Nishanth Dikkala, Constantinos Daskalakis, and John Wright.