The New England Journal of Statistics in Data Science (NEJSDS) invites 
submissions to a special issue of “Game-theoretic Statistics and Safe 
Anytime-Valid Inference”, guest edited by Peter Grünwald (CWI and Leiden Univ.) 
and Aaditya Ramdas (Carnegie-Mellon Univ.) 
 

This concerns an exciting new subfield that focuses on developing statistical 
inference procedures (like hypothesis tests and confidence sets) for 
experimental settings where the data may be continuously monitored as it 
arrives, the experiment may be adaptively stopped or extended for any reason, 
and yet the procedures must yield statistically valid inference at arbitrary 
data-dependent stopping times. This area has implications for automated 
experimentation in the IT industry, reproducibility of individual scientific 
studies as well as meta-analyses. 

E-values (or their sequential analog, e-processes) have emerged as a central 
concept in this area. They provide an alternative to p-values and other 
traditional notions of evidence for testing, with “confidence sequences” being 
their natural twin concept for estimation. These are intimately tied to 
nonnegative “test (super)martingales”, which can be viewed as wealth processes 
in certain games that the statistician plays against nature. In this world 
view, estimation and testing reduce to game and strategy design. This 
game-theoretic approach yields a philosophical and methodological middle ground 
between classical Bayesian and frequentist approaches, but also gives rise to 
new data-adaptive procedures with interesting properties - not just in a 
sequential setting but also, for example, in multiple testing problems. 

For the unfamiliar, an overview paper from July’22 has recently been posted on 
arXiv: https://arxiv.org/abs/2210.01948. Also, several talk slides, tutorials 
and paper links can be found at 
https://www.stat.cmu.edu/~aramdas/SAVI/savi20.html, from a week-long workshop 
on the topic that was organized by the guest editors in June’22. 

Key Dates:Papers should be submitted according to the following schedule:
Manuscript Due: Anytime before March 1, 2023
Initial Decision Notification: Jul 1, 2023
Rebuttal Deadline: Oct 1, 2023
Final Decision Notification: Nov 1, 2023
Proofs to Publisher: Dec 1, 2023
Expected Publication: March 1, 2024 

Editors-in-Chief: Ming-Hui Chen, University of Connecticut and Min-ge Xie, 
Rutgers University
Lead guest editors: Aaditya Ramdas, Carnegie Mellon University and Peter 
Grünwald, CWI Amsterdam  
 

For full details, see 
https://journal.nestat.org/news/Game-theoretic_Statistics_and_Safe_Anytime-Valid_Inference
  
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