Minimum Sample Size for Reliable Causal Inference Using Transfer Entropy

Autor: Antônio M. T. Ramos, Elbert E. N. Macau
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Entropy, Vol 19, Iss 4, p 150 (2017)
Druh dokumentu: article
ISSN: 1099-4300
DOI: 10.3390/e19040150
Popis: 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.
Databáze: Directory of Open Access Journals