Abstract In this article we consider the problem of comparing several Bernoulli populations in order to identify the population producing the largest success probability that is also larger than a given standard. We propose a fixed sample size procedure for which we develop the probability of a correct selection and the least favorable configuration. We also propose a curtailed version of the fixed sample size procedure and show that the curtailed procedure reaches the same probability of a correct selection as the fixed sample size procedure, while using fewer observations. We provide tables to implement the procedures and illustrate them via an example. We use simulations to estimate the savings by the curtailment procedure.

中文翻译：

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与标准比较的伯努利种群的选择

摘要 在本文中，我们考虑比较几个伯努利种群的问题，以确定产生最大成功概率且也大于给定标准的种群。我们提出了一个固定样本大小的程序，我们为此开发了正确选择和最不利配置的概率。我们还提出了固定样本量程序的缩减版本，并表明缩减程序达到与固定样本量程序相同的正确选择概率，同时使用较少的观察。我们提供了表格来实现这些过程并通过一个例子来说明它们。我们使用模拟来估计削减程序的节省量。