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arxiv: math/0505313 · v2 · submitted 2005-05-15 · 🧮 math.PR

Estimates of moments and tails of Gaussian chaoses

Rafa{\l} Lata{\l}a This is my paper
classification 🧮 math.PR
keywords estimateschaosesgaussianmomentstailsconstantsdependingderive
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We derive two-sided estimates on moments and tails of Gaussian chaoses, that is, random variables of the form $\sum a_{i_1,...,i_d}g_{i_1}... g_{i_d}$, where $g_i$ are i.i.d. ${\mathcal{N}}(0,1)$ r.v.'s. Estimates are exact up to constants depending on $d$ only.

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