Informative interim adaptations lead to random sample sizes. The random sample size becomes a component of the sufficient statistic and estimation based solely on observed samples or on the likelihood function does not use all available statistical evidence. The total Fisher Information (FI) is decomposed into the design FI and a conditional-on-design FI. The FI unspent by the interim adaptation is used to determine the lower mean squared error in post-adaptation estimation. Theoretical results are illustrated with simple normal samples collected according to a two-stage design with a possibility of early stopping.

翻译：随机抽样规模成为仅根据观察到的样品或概率函数的充分统计和估计的一个组成部分,没有使用所有现有的统计证据。渔业信息(FI)总数已分解成FI和有条件设计FI。临时调整所未利用的FI用于确定适应后估计中低平均平方差错。理论结果用根据两阶段设计收集的简单普通样品来说明,有可能及早停止。