Szukana fraza: [Abstract = We consider som e subclasses of GID distributions, namely geometrically strictly semistable \(GSSe\) and geometrically semistable \(GSe\) laws as the generalizations of existing in the literature geometrically stable \(GSt\) laws. We characterize the GSSe random variabies as limits \(in the sense of convergence in distribution\) of the weighted geometrie random sums sequences. The rate of convergence is investigated in the terms of Zolotarev's and Rachev's probability metrics. A property of 1\/a\-decomposability of GSSe random variabies is pointed. We define new random variabies called geometrically semistable \(GSe\).]
