2 papers
math.ST2026
Tighter confidence intervals for quantiles of heterogeneous data
John H. J. Einmahl, Yi He
It is well known that the asymptotic variance of sample quantiles can be reduced under heterogeneity relative to the i.i.d. setting. However, asymptotically correct confidence inte…
stat.AP2025
Accurate Estimates of Ultimate 100-Meter Records
John Einmahl, Yi He
We employ the novel theory of heterogeneous extreme value statistics to accurately estimate the ultimate world records for the 100-m running race, for men and for women. For this a…