3 papers
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…
stat.ME2025
Optimal E-Values for Exponential Families: the Simple Case
Peter Grünwald, Tyron Lardy, Yunda Hao +2
We provide a general condition under which e-variables in the form of a simple-vs.-simple likelihood ratio exist when the null hypothesis is a composite, multivariate exponential f…
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…