The two parameters (κ,r) in the generalized statistics

Based on the generalized Boltzmann equation and the reverse function of the distribution function, we investigate the two-parameter generalized statistics and get an expression between the two parameters (κ,r) and the physical quantities about the system considered. We find that the two parameters can define some characteristics of the system. As examples, this result can just return to the previous one obtained for Tsallis and κ statistics. For some complex systems, we may need the two-parameter statistics to describe.