Geodesic
On refinement of Banach-valued limit theorems for stable laws
Teoriâ veroâtnostej i ee primeneniâ, Tome 39 (1994) no. 4, pp. 851-856

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This paper gives the estimates of rate of convergence on classes of sets in Banach-valued limit theorems for stable laws. These estimates are effective in the case when the limit distribution is concentrated on a space of lower dimension and have unimprovable order.
Keywords: independent random elements, Banach space, Rademacher type $p$, probabilistic metric, stable random element, absorbing class.
Mots-clés : stable type $p$ 
@article{TVP_1994_39_4_a17,
     author = {A. N. Chuprunov},
     title = {On refinement of {Banach-valued} limit theorems for stable laws},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {851--856},
     publisher = {mathdoc},
     volume = {39},
     number = {4},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1994_39_4_a17/}
}
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A. N. Chuprunov. On refinement of Banach-valued limit theorems for stable laws. Teoriâ veroâtnostej i ee primeneniâ, Tome 39 (1994) no. 4, pp. 851-856. http://geodesic.mathdoc.fr/item/TVP_1994_39_4_a17/