A novel approach to the Tsallis' superstatistics is discussed. On the basis of limit theorems of probability theory we have shown that the Tsallis generalization of the classical Boltzmann--Gibbs statistics can be represented by a distribution of an appropriately constructed scaled minima of a random variables sequence. This formalism provides a natural framework of construction of even more generalized statistics in which the Tsallis and the Boltzmann--Gibbs ones are special cases. It leads also to a new interpretation of the entropic index q.

PACS numbers: 05.20.-y; 05.20.Gg; 02.50.Cw