  The distribution of the magnitudes of seismic events is generally assumed to
be independent on past seismicity. However, by considering events in causal
relation, for example mother-daughter, it seems natural to assume that the
magnitude of a daughter event is conditionally dependent on the one of the
corresponding mother event. In order to find experimental evidence supporting
this hypothesis, we analyze different catalogs, both real and simulated, in two
different ways. From each catalog, we obtain the law of triggered events'
magnitude by kernel density. The results obtained show that the distribution
density of triggered events' magnitude varies with the magnitude of their
corresponding mother events. As the intuition suggests, an increase of mother
events' magnitude induces an increase of the probability of having "high"
values of triggered events' magnitude. In addition, we see a statistically
significant increasing linear dependence of the magnitude means.
