Conformal prediction beyond exchangeability Page 1 The Annals of Statistics 2023, Vol. 51, No.
2, 816–845 https://doi.org/10.1214/23-AOS2276 © Institute of Mathematical Statistics, 2023 …

Metabolomics holds great promise for uncovering insights around biological processes
impacting disease in human epidemiological studies. Metabolites can be measured across …

Current psychological research addresses multifaceted questions demanding multiple
analyses of data. Statistical analyses regarded as instances of multiple testing are often …

Analysis of “big data” frequently involves statistical comparison of millions of competing
hypotheses to discover hidden processes underlying observed patterns of data, for example …

E-values have gained attention as potential alternatives to p-values as measures of
uncertainty, significance and evidence. In brief, e-values are realized by random variables …

In multiple-testing problems, where a large number of hypotheses are tested simultaneously,
false discovery rate (FDR) control can be achieved with the well-known Benjamini …

This book is written to offer a humble, but unified, treatment of e-values in hypothesis testing.
The book is organized into three parts: Fundamental Concepts, Core Ideas, and Advanced …

Replicability of results has been a gold standard in science and should remain so, but
concerns about lack of it have increased in recent years. Transparency, good design, and …

The microbiome represents a hidden world of tiny organisms populating not only our
surroundings but also our own bodies. By enabling comprehensive profiling of these …

We study how to combine p-values and e-values, and design multiple testing procedures
where both p-values and e-values are available for every hypothesis. Our results provide a …