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math.ST2026
On admissibility in post-hoc hypothesis testing
Ben Chugg, Tyron Lardy, Aaditya Ramdas +1
The validity of classical hypothesis testing requires the significance level be fixed before any statistical analysis takes place. This is a stringent requirement. For instanc…
math.ST2025
A Generalisation of Ville's Inequality to Monotonic Lower Bounds and Thresholds
Wouter M. Koolen, Muriel Felipe Pérez-Ortiz, Tyron Lardy
Essentially all anytime-valid methods hinge on Ville's inequality to gain validity across time without incurring a union bound. Ville's inequality is a proper generalisation of Mar…