  In this paper we have derived the equipartition law of energy using Tsallis
formalism and the Kaniadakis power law statistics in order to obtain a modified
gravitational constant. We have applied this result in the gravothermal
collapse phenomenon. We have discussed the equivalence between Tsallis and the
Kaniadakis statistics in the context of Verlinde entropic formalism. In the
same way we have analyzed negative heat capacities in the light of gravothermal
catastrophe. The relative deviations of the modified gravitational constants
are derived.
