  The abundances of light elements based on the big bang nucleosynthesis model
are calculated using the Tsallis non-extensive statistics. The impact of the
variation of the non-extensive parameter $q$ from the unity value is compared
to observations and to the abundance yields from the standard big bang model.
We find large differences between the reaction rates and the abundance of light
elements calculated with the extensive and the non-extensive statistics. We
found that the observations are consistent with a non-extensive parameter q = 1
+ 0.05 - 0.12, indicating that a large deviation from the Boltzmann-Gibbs
statistics (q = 1) is highly unlikely.
