  Thermodynamical description of the system created during high energy
collision requires a proper thermodynamical framework to study the distribution
of particles. In this work, we have attempted to explain the transverse
momentum spectra of charged hadrons formed in $pp$ collision at different
energies using the Pearson statistical framework. This formalism has been
proved to nicely explain the spectra of particles produced in soft processes as
well hard scattering processes in a consistent manner. For this analysis, we
have used the highest available range of $p_T$ published by experiments to
verify the applicability of Pearson statistical framework at large $p_T$.
