  Non-commutative quantum field theories and their global quantum group
symmetries provide an intriguing attempt to go beyond the realm of standard
local quantum field theory. A common feature of these models is that the
quantum group symmetry of their Hilbert spaces induces additional structure in
the multiparticle states which reflects a non-trivial momentum-dependent
statistics. We investigate the properties of this "rainbow statistics" in the
particular context of $\kappa$-quantum fields and discuss the
analogies/differences with models with twisted statistics.
