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.
Weiss, Time-reversibility of linear stochastic processes, Journal of Applied Probability 12, 831 (1975)
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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.