2 papers
math.ST2026
On the Order-Conditional Optimality of Gaffke's Bound
George Bissias, Erik Learned-Miller
Let be a random vector from any Borel probability law on . We revisit the problem of deriving a lower confidence bound (LCB) on a scalar pa…
stat.CO2026
Towards Automated Confidence Bound Provers and Searchers
My Phan, Erik Learned-Miller
In this work we lay the groundwork for automating the process of finding and proving the validity of lower confidence bounds of the mean. Our key finding is based on the observatio…