Permutation entropy: A nonlinear statistical measure for status characterization of rotary machines

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A multiscale permutation entropy based approach to select wavelet for fault diagnosis of ball bearings (2015, methodology): “Yan et al. (2011) used permutation entropy as a new complexity measure for the health characterization of rotating machinery.”
Prognostics and Health Management: A Review of Vibration Based Bearing and Gear Health Indicators (2018, background): “In addition to the aforementioned statistical parameters, Shannon entropy [38] and its variants, such as approximate entropy [39], permutation entropy [40], Re’nyi entropy [33], and Lempel-Ziv complexity [41], [42], a synthesised health indicator [43], are much more attractive for construction of be”