Qualms regarding " Superstatistics "

There is neither motivation nor need to introduce 'superstatistics.' The authors attempt to generalize the Boltzmann factor so as to obtain a more general statistics, i.e., their so-called superstatistics. The do so by performing a Laplace transform on the probability density function (pdf) of an intensive variable, f (β), where β is the inverse temperature. The criteria they use for choosing f (β) are the following: 1. It must be normalized ∞ 0 f (β) dβ = 1. (1) 2. It must be such that its Laplace transform B(E) = ∞ 0 e −βE f (β) dβ is normalized, or at least is normalized with respect to a density of states ρ(E) ∞ 0 B(E)ρ(E) dE = ∞ 0 dβf (β) ∞ 0 dEe −βE ρ(E) = 1. 3. The superstatistics should reduce to BG-statistics when there are no fluctuations in the intensive variables. In thermodynamics there are two types of variables: extensive and intensive variables. In mathematical statistics they correspond to observable and es-timable variables, respectively [1, 2]. Estimable variables relate the probability 1