论文标题
在嘈杂的渠道上测试对独立性测试的牢固匡威
Strong Converse for Testing Against Independence over a Noisy channel
论文作者
论文摘要
从强大的匡威特性的角度研究了作者先前研究的嘈杂（离散和无内存）通道上的分布式二进制假设检验（HT）问题。 AHLSWEDE和CSISZár表明，当通道是限制速率且无噪声时，在上述设置中存在强烈的匡威。在这一观察结果的推动下，我们表明，强烈的匡威继续在嘈杂的频道环境中，以特殊情况为HT，称为“反对独立性”（TAI）的测试。证明利用吹吹动的引理以及最近的泰吉和渡边的测量技术变化为关键工具。
A distributed binary hypothesis testing (HT) problem over a noisy (discrete and memoryless) channel studied previously by the authors is investigated from the perspective of the strong converse property. It was shown by Ahlswede and Csiszár that a strong converse holds in the above setting when the channel is rate-limited and noiseless. Motivated by this observation, we show that the strong converse continues to hold in the noisy channel setting for a special case of HT known as testing against independence (TAI). The proof utilizes the blowing up lemma and the recent change of measure technique of Tyagi and Watanabe as the key tools.
