Geodesic
On the limit behaviour of products of a~random number of group valued i.i.d.\ random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 39 (1994) no. 2, pp. 374-394

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The paper considers a limit behavior of a random number of independent identically distributed random variables taking values in a locally compact group $G$. In the paper the analogue of the Fahim–Gnedenko transfer theorem is proved and the inverse problem is analyzed. Analogue of these theorems are studies for some special classes of groups.
Keywords: Key words. product of a random number of independent random variables, central limit theorem, the Fahim–Gnedenko transfer theorem, locally compact group, discrete and continuous convolutional semigroups. 
@article{TVP_1994_39_2_a7,
     author = {W. Hazod},
     title = {On the limit behaviour of products of a~random number of group valued i.i.d.\ random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {374--394},
     publisher = {mathdoc},
     volume = {39},
     number = {2},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1994_39_2_a7/}
}
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W. Hazod. On the limit behaviour of products of a~random number of group valued i.i.d.\ random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 39 (1994) no. 2, pp. 374-394. http://geodesic.mathdoc.fr/item/TVP_1994_39_2_a7/