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parastatistics

n. (context quantum mechanics English) Any of several proposed statistics that are alternatives to the standard ones

Wikipedia
Parastatistics

In quantum mechanics and statistical mechanics, parastatistics is one of several alternatives to the better known particle statistics models ( Bose–Einstein statistics, Fermi–Dirac statistics and Maxwell–Boltzmann statistics). Other alternatives include anyonic statistics and braid statistics, both of these involving lower spacetime dimensions.