PROPERTIES OF PARTICLES OBEYING AMBIGUOUS STATISTICS

A new class of identical particles which may exhibit both Bose and Fer mi statistics with respective probabilities p(b) and p(f) is introduce d. Such an uncertainty may be either an intrinsic property of a partic le or can be viewed as an ''experimental uncertainty.'' Statistical eq uivalence of such particles and particles obeying parastatistics of in finite order is shown. Generalized statistical distributions are deriv ed, and statistical and thermodynamical properties of an ideal gas of the particles are investigated. The physical nature of such particles and the implications of this investigation for the statistics of extre mal black holes are discussed.