Abstract
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.
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Blei, R., Janson, S. Rademacher chaos: tail estimates versus limit theorems. Ark. Mat. 42, 13–29 (2004). https://doi.org/10.1007/BF02385577
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DOI: https://doi.org/10.1007/BF02385577