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Minimum Sample Size for Reliable Causal Inference Using Transfer Entropy

机译:使用传递熵进行可靠的因果推断的最小样本量

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摘要

Transfer Entropy has been applied to experimental datasets to unveil causality between variables. In particular, its application to non-stationary systems has posed a great challenge due to restrictions on the sample size. Here, we have investigated the minimum sample size that produces a reliable causal inference. The methodology has been applied to two prototypical models: the linear model autoregressive-moving average and the non-linear logistic map. The relationship between the Transfer Entropy value and the sample size has been systematically examined. Additionally, we have shown the dependence of the reliable sample size and the strength of coupling between the variables. Our methodology offers a realistic lower bound for the sample size to produce a reliable outcome.
机译:传递熵已应用于实验数据集,以揭示变量之间的因果关系。特别地,由于样本量的限制,其在非平稳系统中的应用提出了巨大的挑战。在这里,我们研究了产生可靠因果推论的最小样本量。该方法已应用于两个原型模型:线性模型自回归移动平均值和非线性对数图。传递熵值和样本量之间的关系已得到系统地检查。此外,我们还显示了可靠样本量和变量之间耦合强度的依赖性。我们的方法为样本量提供了一个现实的下限,以产生可靠的结果。

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