  We study the questions of determining the asymptotics of the probabilistic
characteristics of additive arithmetic functions in the paper, regardless of
whether they have a limit distribution or not. Several assertions are proved
about the estimation of the asymptotics of the probabilistic characteristics of
strongly additive arithmetic functions, as well as additive functions of the
class that have the same asymptotic behavior of the probabilistic
characteristics, as for strongly additive arithmetic functions.
