  The successive stages of a high-energy collision are conjectured to end up
with chemical and thermal freezeout of the produced particles. We utilize
generic (non)extensive statistics which is believed to determine the degree of
(non)extensivity through two critical exponents due to possible phase-space
modifications. This statistical approach likely manifests various types of
correlations and fluctuations and also possible interactions among the
final-state produced particles. We study the baryon-to-pion ratios at top RHIC
and LHC energies including the so-called proton anomaly.
