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The energy distribution and the energy fluctuation in the Tsallis canonicalensemble are studied with the OLM formalism but following a new way. Theresulting formula for the energy fluctuation is not the same as that inprevious work [Liu L.Y. and Du J.L., Physica A 387(2008)5417]. In discussingthe application of an ideal gas, we find that the energy fluctuation can not benegligible in the thermodynamic limit, showing the ensemble nonequivalence forthis case in Tsallis statistics. We investigate the energy fluctuation with aTsallis generalized canonical distribution studied by Plastino and Plastino[Phys. Lett. A 193(1994)140] for describing a system in contact with a finiteheath bath. For this situation, the two formulae for the energy fluctuation areshown to be equivalent, while the nonextensive parameter q plays a veryimportant role.

Energy distribution and energy fluctuation in Tsallis statistics