The statistical analysis of discrete data has been the subject of extensive statistical research
dating back to the work of Pearson. In this survey we review some recently developed …

We focus on some specific problems in distribution testing, taking goodness-of-fit as a
running example. In particular, we do not aim to provide a comprehensive summary of all the …

The field of property testing originated in work on program checking, and has evolved into
an established and very active research area. In this work, we survey the developments of …

Given samples from an unknown multivariate distribution p, is it possible to distinguish
whether p is the product of its marginals versus p being far from every product distribution …

Minimax optimality of permutation tests Page 1 The Annals of Statistics 2022, Vol. 50, No. 1,
225–251 https://doi.org/10.1214/21-AOS2103 © Institute of Mathematical Statistics, 2022 …

Local permutation tests for conditional independence Page 1 The Annals of Statistics 2022, Vol.
50, No. 6, 3388–3414 https://doi.org/10.1214/22-AOS2233 © Institute of Mathematical Statistics …

We study the fundamental problems of identity testing (goodness of fit), and closeness
testing (two sample test) of distributions over $ k $ elements, under differential privacy. While …

We consider the problem of quantum state certification, where one is given n copies of an
unknown d-dimensional quantum mixed state ρ, and one wants to test whether ρ is equal to …

We study the problem of distribution testing when the samples can only be accessed using a
locally differentially private mechanism and focus on two representative testing questions of …

A central server needs to perform statistical inference based on samples that are distributed
over multiple users who can each send a message of limited length to the center. We study …