  Recent pioneering works have set the stage for exploring anyon braiding
statistics from negative current cross-correlations along two intersecting
quasiparticle beams. In such a dual-source - analyzer quantum point contact
setup, also referred to as 'collider', the anyon exchange phase of fractional
quantum Hall quasiparticles is predicted to be imprinted into the
cross-correlations characterized by an effective Fano-factor $P$. In the case
of symmetric incoming quasiparticle beams, conventional fermions result in a
vanishing $P$. In marked contrast, we observe signatures of anyon statistics in
the negative $P$ found both for the $e/3$ Laughlin quasiparticles at filling
factor $\nu=1/3$ ($P\approx-2$, corroborating previous findings), and for the
$e/5$ quasiparticles in the hierarchical state $\nu=2/5$ ($P\approx-1$).
Nevertheless, we argue that the quantitative connection between numerical value
of $P\neq0$ and specific fractional exchange phase is hampered by the influence
of the analyzer conductance dependence on the voltages used to generate the
quasiparticles. Finally, we address the important challenge how to distinguish
at $\nu=1/3$ between negative cross-correlations induced by a fractional braid
phase, and those resulting from a different Andreev-like mechanism. Although
with symmetric sources $P$ does not exhibit signatures of a crossover when the
analyzer is progressively detuned to favor Andreev processes, we demonstrate
that changing the balance between sources provides a mean to discriminate
between the two mechanisms.
