Abstract

We prove 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.

中文翻译：

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分组序贯试验后估计的渐近正态性

摘要

我们证明，在许多现实情况下，如果最大观察数增加，则在连续试验后的普通样本均值是渐近正常的。我们得出结论，基于普通样本均值，对于收集的观察值的平均值使用幼稚的置信区间通常是安全的。我们的理论发现通过仿真研究得到了证实。