mlsanityData to 7 Oct 2026

Hypothesis testing with e-values

arXiv 2410.23614 ↗First posted 31 Oct 2024math.ST stat.ME stat.THcited by 70

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Abstract (arXiv)

This book is written to offer a humble, but unified, treatment of e-values in hypothesis testing. It is organized into three parts: Fundamental Concepts, Core Ideas, and Advanced Topics. The first part includes four chapters that introduce the basic concepts. The second part includes five chapters of core ideas such as universal inference, log-optimality, e-processes, operations on e-values, and e-values in multiple testing. The third part contains seven chapters of advanced topics. The book collates important results from a variety of modern papers on e-values and related concepts, and also contains many results not published elsewhere. It offers a coherent and comprehensive picture on a fast-growing research area, and is ready to use as the basis of a graduate course in statistics and related fields.

Key facts. Cited by 70 papers in the map (data through 7 Oct 2026). First posted on arXiv 31 Oct 2024.

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 30; 2026: 40.

70 papers.

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  1. 2025E-Values Expand the Scope of Conformal Predictioncited by 23
  2. 2025Prediction-Powered E-Valuescited by 16
  3. 2025E-valuator: Reliable Agent Verifiers with Sequential Hypothesis Testingcited by 14
  4. 2025Backward Conformal Predictioncited by 13
  5. 2025Certified Self-Consistency: Statistical Guarantees and Test-Time Training for Reliable Reasoning in LLMscited by 12
  6. 2025Conformal Calibration: Ensuring the Reliability of Black-Box AI in Wireless Systemscited by 10
  7. 2025Adaptive Prediction-Powered AutoEval with Reliability and Efficiency Guaranteescited by 9
  8. 2025On Continuous Monitoring of Risk Violations under Unknown Shiftcited by 9
  9. 2025Anytime-valid, Bayes-assisted, Prediction-Powered Inferencecited by 7
  10. 2025On Stopping Times of Power-one Sequential Tests: Tight Lower and Upper Boundscited by 5
  11. 2025Sequentially Auditing Differential Privacycited by 5
  12. 2025Theoretical guarantees for change localization using conformal p-valuescited by 5
38 more
  1. 2025Optimistic Interior Point Methods for Sequential Hypothesis Testing by Bettingcited by 4
  2. 2025Adaptive Coverage Policies in Conformal Predictioncited by 4
  3. 2025Auditing Pay-Per-Token in Large Language Modelscited by 4
  4. 2026Behavioral Fingerprints for LLM Endpoint Stability and Identitycited by 4
  5. 2025Ensuring Reliability via Hyperparameter Selection: Review and Advancescited by 3
  6. 2025Toward Universal Laws of Outlier Propagationcited by 3
  7. 2026Efficient Sequential Evaluation of Large Language Modelscited by 3
  8. 2025Universality of conformal prediction under the assumption of randomnesscited by 2
  9. 2025A Collectivist, Economic Perspective on AIcited by 2
  10. 2025Eventually LIL Regret: Almost Sure lnln T Regret for a sub-Gaussian Mixture on Unbounded Datacited by 2
  11. 2025Stopping Rules for Stochastic Gradient Descent via Anytime-Valid Confidence Sequencescited by 2
  12. 2026Prediction-Powered Risk Monitoring of Deployed Models for Detecting Harmful Distribution Shiftscited by 2
  13. 2026Asymptotically optimal sequential change detection for bounded meanscited by 2
  14. 2026Towards E-Value Based Stopping Rules for Bayesian Deep Ensemblescited by 2
  15. 2026Adaptive auditing of AI systems with anytime-valid guaranteescited by 2
  16. 2025Randomness, exchangeability, and conformal predictioncited by 1
  17. 2025STaR-Bets: Sequential Target-Recalculating Bets for Tighter Confidence Intervalscited by 1
  18. 2025Extending Prediction-Powered Inference through Conformal Predictioncited by 1
  19. 2025Reliable Inference in Edge-Cloud Model Cascades via Conformal Alignmentcited by 1
  20. 2025E-Scores for (In)Correctness Assessment of Generative Model Outputscited by 1
  21. 2026Online monotone density estimation and log-optimal calibrationcited by 1
  22. 2026Online LLM watermark detection via e-processescited by 1
  23. 2026Global Sequential Testing for Multi-Stream Auditingcited by 1
  24. 2026Conformal e-prediction in the presence of confoundingcited by 1
  25. 2026Multi-Armed Sequential Hypothesis Testing by Bettingcited by 1
  26. 2026Optimal Rates for Differentially Private Hypothesis Testing with E-valuescited by 1
  27. 2026Conformal Language Modeling via Posterior Samplingcited by 1
  28. 2025Hypothesis Testing in Imaging Inverse Problemscited by 0
  29. 2025Online Reliable Anomaly Detection via Neuromorphic Sensing and Communicationscited by 0
  30. 2025Assessing Extrapolation of Peaks Over Thresholds with Martingale Testingcited by 0
  31. 2025Optimal Anytime-Valid Tests for Composite Nullscited by 0
  32. 2026GAAVI: Global Asymptotic Anytime Valid Inference for the Conditional Mean Functioncited by 0
  33. 2026Online Selective Conformal Prediction with Asymmetric Rules: A Permutation Test Approachcited by 0
  34. 2026Detecting Object Tracking Failure via Sequential Hypothesis Testingcited by 0
  35. 2026Asymptotically Optimal Sequential Testing with Markovian Datacited by 0
  36. 2026Incentive Aware AI Regulations: A Credal Characterisationcited by 0
  37. 2026Data Fusion with Distributional Equivalence Test-then-poolcited by 0
  38. 2026Post-Selection Distributional Model Evaluationcited by 0

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