  Subordinated processes play an important role in modeling anomalous
diffusion-type behavior. In such models the observed constant time periods are
described by the subordinator distribution. Therefore, on the basis of the
observed time series, it is possible to conclude on the main properties of the
subordinator. In this paper we analyze the anomalous diffusion models with
three types of subordinator distribution: \alpha-stable, tempered stable and
gamma. We present similarities and differences between the analyzed processes
and point at their main properties (like the behavior of moments or the mean
squared displacement).
