  We investigate the valence quark distributions of pions at a low initial
scale ($Q^2_0$) through the application of Tsallis entropy, a non-extensive
measure adept at encapsulating long-range correlations among internal
constituents. Utilizing the maximum entropy approach, we derive the valence
quark distributions at elevated resolution scales via a modified DGLAP
equation, which integrates GLR-MQ-ZRS corrections for the $Q^2$ evolution. Our
findings indicate that the resulting $Q^2$-dependent valence quark
distributions yield an optimal fit to experimental data, with an inferred
parameter value of $q$ ($q = 0.91$), diverging from unity. This deviation
highlights the significant role that correlations among valence quarks play in
shaping our understanding of pion internal structure. Additionally, our
computations of the first three moments of pion quark distributions at $ Q^2 =
4 \, \mathrm{GeV}^2$ display consistency with alternative theoretical models,
thereby reinforcing the importance of incorporating valence quark correlations
within this analytical framework.
