Parastatistics and Dirac brackets

Parastatistics (parafields) has been used in relation to several models of physical systems like the quark and the nuclear shell models. However, the physics of parafields is not completely clear. If classical para-Bose or para-Fermi variables could be constructed, then because of the correspondence principle some traces of the corresponding quantum properties could be found at the classical limit. In this way, by studying the simplestc-number systems some hints for the quantum of parafields could be expected.We introduce and discuss classical paravariables. We constructc-number para-Fermi variables in terms of coupled classical oscillators. Several similarities to the corresponding quantum case are observed. The results support Cusson's remark that systems described in terms of parastatistics may really be composite systems.