  We study the efficiency of estimation procedures where the temperature of an
external bath is indirectly recovered by monitoring the transformations induced
on a probing system that is put in thermal contact with the bath. In particular
we compare the performances of sequential measurement schemes where the probe
is initialized only once and measured repeatedly during its interaction with
the bath, with those of measure & re-prepare approaches where instead, after
each interaction-and-measurement stage, the probe is reinitialized into the
same fiduciary state. From our analysis it is revealed that the sequential
approach, while being in general not capable of providing the best accuracy
achievable, is nonetheless more versatile with respect to the choice of the
initial state of the probe, yielding on average smaller indetermination levels.
