Many testing problems are readily amenable to randomized tests, such as those employing
data splitting. However, despite their usefulness in principle, randomized tests have obvious …

Sum-based global tests are highly popular in multiple hypothesis testing. In this paper, we
propose a general closed testing procedure for sum tests, which provides lower confidence …

A classical result indicates that the arithmetic average of p-values multiplied by the factor of
2 is a valid p-value under arbitrary dependence among p-values. Moreover, this constant …

We propose new methods to obtain simultaneous false discovery proportion bounds for
knockoff-based approaches. We first investigate an approach based on Janson and Su'sk …

We consider the problem of inference on the signs of n> 1 parameters. We aim to provide 1−
α post hoc confidence bounds on the number of positive and negative (or non-positive) …

We consider the problem of constructing distribution-free prediction sets for data from two-
layer hierarchical distributions. For iid data, prediction sets can be constructed using the …

We discuss systematically two versions of confidence regions: those based on p-values and
those based on e-values, a recent alternative to p-values. Both versions can be applied to …

Annotating biomedical images for supervised learning is a complex and labor-intensive task
due to data diversity and its intricate nature. In this paper, we propose an innovative method …

Closed testing has recently been shown to be optimal for simultaneous true discovery
proportion control. It is, however, challenging to construct true discovery guarantee …

In multiple hypotheses testing it has become widely popular to make inference on the true
discovery proportion (TDP) of a set $\mathcal {M} $ of null hypotheses. This approach is …