Estimates for the closeness of successive convolutions of multidimensional symmetric distributions |
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| Authors: | A. Yu. Zaįtsev |
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| Affiliation: | (1) Leningrad Branch of Steklov Mathematical Institute of the Academy of Sciences of the USSR, Fontanka 27, 191011 Leningrad, USSR |
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| Abstract: | Summary Let ξ1, ξ2,... be i.i.d random vectors in ℝ k with a common distribution ℒ(ξi),... = F, i = 1, 2,.... Let S n = ξ1+...+ξ n . We investigate how small is the difference between ℒ(S n ) and ℒ(S n+ m ) in the case when ξ i have symmetric distributions. |
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