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Rademacher chaos: tail estimates versus limit theorems. (English) Zbl 1049.60007
Summary: We study Rademacher chaos indexed by a sparse set which has a fractional combinatorial dimension. We obtain tail estimates for finite sums and a normal limit theorem as the size tends to infinity. The tails for finite sums may be much larger than the tails of the limit.

MSC:
60C05 Combinatorial probability
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