Title: On asymptotic normality in estimation after a group sequential trial
Authors: Ben Berckmoes - University of Antwerp (Belgium) [presenting]
Anna Ivanova - KU Leuven and UHasselt (Belgium)
Geert Molenberghs - KU leuven (Belgium)
Abstract: It is proven that in many realistic cases, the ordinary sample mean after a group sequential trial is asymptotically normal if the maximal number of observations increases. We derive that it is often safe to use naive confidence intervals for the mean of the collected observations, based on the ordinary sample mean. Our theoretical findings are confirmed by a simulation study. Links with Stein's method are explored.