  In multiparticle quantum interference, bosons show rather generally the
tendency to bunch together, while fermions can not. This behavior, which is
rooted in the different statistics of the particles, results in a higher
coincidence rate $P$ for fermions than for bosons, i.e. $P^{(bos)}<P^{(ferm)}$.
However, in lossy systems such a general rule can be violated because bosons
can avoid lossy regions. Here it is shown that, in a rather general optical
system showing passive parity-time ($\mathcal{PT}$) symmetry, at the
$\mathcal{PT}$ symmetry breaking phase transition point the coincidence
probabilities for bosons and fermions are equalized, while in the broken
$\mathcal{PT}$ phase the reversal $P^{(bos)}>P^{(ferm)}$ is observed. Such
effect is exemplified by considering the passive $\mathcal{PT}$-symmetric
optical directional coupler.
