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 parti-
cles. We study the baryon-to-pion ratios at top RHIC and LHC energies including the so-called
proton anomaly.