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Nonuniform estimate in the central limit theorem for additive functions

✍ Scribed by E. Manstavicius


Publisher
Springer
Year
1990
Tongue
English
Weight
498 KB
Volume
29
Category
Article
ISSN
0363-1672

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The Central Limit Theorem for Free Addit
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Let [X n ] n=1 be a sequence of free, identically distributed random variables with common distribution +. Then there exist sequences [B n ] n=1 and [A n ] n=1 of positive and real numbers, respectively, such that sequence of random variables converges in distribution to the semicircle law if and o