A data-driven evaluation of thousands of statistics finds several families effective at distinguishing time-irreversibility but shows no single statistic works across all systems.
However, in our empirical tests, the best-performing TR test reached a maximum accuracy of only 68% (with τ = 2)
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Identifying statistical indicators of temporal asymmetry using a data-driven approach
A data-driven evaluation of thousands of statistics finds several families effective at distinguishing time-irreversibility but shows no single statistic works across all systems.