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math.ST2025
Regularized e-processes: anytime valid inference with knowledge-based efficiency gains
Ryan Martin
Classical statistical methods have theoretical justification when the sample size is predetermined. In applications, however, it's often the case that sample sizes are data-depende…
math.ST2025
The typicality principle and its implications for statistics and data science
Yiran Jiang, Zeyu Zhang, Ryan Martin +1
A central focus of data science is the transformation of empirical evidence into knowledge. As such, the key insights and scientific attitudes of deep thinkers like Fisher, Popper,…
math.ST2024
Which statistical hypotheses are afflicted with false confidence?
Ryan Martin
The false confidence theorem establishes that, for any data-driven, precise-probabilistic method for uncertainty quantification, there exists (non-trivial) false hypotheses to whic…