Geodesic
On the convergence to a multidimensional stable law of the distribution of a~location parameter for the composition of random motions in Euclidean space
Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 2, pp. 342-344

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We consider a distribution of a location parameter for the composition of random motions in the Euclidean space. It is supposed that the $n$-fold convolution of rotation parameter distribution converges weakly to the uniform distribution on $SO(d)$ and that the location parameter has a distribution belonging to the domain of attraction of some nondegenerate multidimensional law. The integral limit theorem for the location parameter is proved. 
@article{TVP_1982_27_2_a14,
     author = {Yu. S. Hohlov},
     title = {On the convergence to a multidimensional stable law of the distribution of a~location parameter for the composition of random motions in {Euclidean} space},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {342--344},
     publisher = {mathdoc},
     volume = {27},
     number = {2},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1982_27_2_a14/}
}
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Yu. S. Hohlov. On the convergence to a multidimensional stable law of the distribution of a~location parameter for the composition of random motions in Euclidean space. Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 2, pp. 342-344. http://geodesic.mathdoc.fr/item/TVP_1982_27_2_a14/