  The derivation of Student's pdf from superstatistics is a mere coincidence
due to the choice of the $\chi^2$ distribution for the inverse temperature
which is actually the Maxwell distribution for the speed. The difference
between the estimator and the variance introduces a fluctuating temperature
that is generally different than the temperature of the variance. Fluctuations
in the energy of a composite system are transferred to fluctuations in the
temperature via L\'evy's transform. The randomization of the operational
parameter leading to a subordinated process requires the same number of degrees
of freedom in the directing as in the original process. In place of Student's
pdf we find the subordinated process to Maxwell's speed distribution has a
Pareto distribution which is interpreted as the density of the length of the
random velocity vector.
