  The nuclear modification factor is derived using Tsallis non-extensive
statistics in relaxation time approximation. The variation of nuclear
modification factor with transverse momentum for different values of
non-extensive parameter, $q$, is also observed. The experimental data from RHIC
and LHC are analysed in the framework of Tsallis non-extensive statistics in a
relaxation time approximation. It is shown that the proposed approach explains
the $R_{AA}$ of all particles over a wide range of transverse momenta but
doesn't seem to describe the rise in $R_{AA}$ at very high transverse momenta.
