The power of forgetting in statistical hypothesis testing

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)peer-review


This paper places conformal testing in a general framework of statistical hypothesis testing. A standard approach to testing a composite null hypothesis H is to test each of its elements and to reject H when each of its elements is rejected. It turns out that we can fully cover conformal testing using this approach only if we allow forgetting some of the data. However, we will see that the standard approach covers conformal testing in a weak asymptotic sense and under restrictive assumptions. I will also list several possible directions of further research, including developing a general scheme of online testing.
Original languageEnglish
Title of host publicationConformal and Probabilistic Prediction and Applications
Subtitle of host publicationProceedings of Machine Learning Research
EditorsKhuong Nguyen, Henrik Bostrom, Lars Carlsson
Number of pages20
Publication statusAccepted/In press - May 2023

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