  We show that if one uses the invariant form of the Boltzmann-Shannon
continuous entropy, it is possible to obtain the generalized Pareto-Tsallis
density function, using an appropriate "prior" measure m_{q}(x) and a "Boltzman
constraint" which formally is equivalent to the Tsallis q-average constraint on
the random variable X. We derive the Tsallis prior function and study its
scaling asymptotic behavior. When the entropic index q tends to 1, m_{q}(x)
tends to 1 for all values of x as this should be.
