Abstract

In the recent review published in 2019, Malinovsky and Albert conjectured analytical formulae of the optimal sample sizes for the modified Dorfman and Sterrett group testing schemes and verified the validity of the formulae numerically within a broad range. However, the authors pointed out that they were unable to give a rigorous proof of the stated conjectures. In this note, we affirm their hypotheses analitically thereby filling in the present gap.

中文翻译：

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关于几个未解决的组测试猜想

摘要

在最近发表于 2019 年的综述中，Malinovsky 和 ​​Albert 推测了改进的 Dorfman 和 Sterrett 组测试方案的最佳样本量的解析公式，并在一个广泛的范围内验证了公式的有效性。然而，作者指出，他们无法对所述猜想给出严格的证明。在这篇文章中，我们分析地确认了他们的假设，从而填补了目前的空白。