Abstract: Let be a full operator-stable measure on and an exponent of . Write
and where ranges over the eigenvalues of
Suppose that the distribution of a random vector belongs to the domain of attraction of
and The object of this note is to show that some results of
Hudson et al. [2] can be proved in a simpler way (and somewhat extended) by using
the method presented in Meerschaert [4]. Namely, we prove that is
finite for and infinite for Basing ourselves on this, we
can easily obtain a moment theorem which is near the result of Meerschaert [5].
be a full operator-stable measure on 
and 
an exponent of 
. Write
and 
where 
ranges over the eigenvalues of 
Suppose that the distribution of a random vector 
belongs to the domain of attraction of
and 
The object of this note is to show that some results of
Hudson et al. [2] can be proved in a simpler way (and somewhat extended) by using
the method presented in Meerschaert [4]. Namely, we prove that 
is
finite for 
and infinite for 
Basing ourselves on this, we
can easily obtain a moment theorem which is near the result of Meerschaert [5].