Tail and moment estimates for some types of chaos
Studia Mathematica, Tome 135 (1999) no. 1, pp. 39-53

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Let $X_i$ be a sequence of independent symmetric real random variables with logarithmically concave tails. We consider a variable $X= ∑_{i ≠ j}a_{i,j}X_iX_j$, where $a_{i,j}$ are real numbers. We derive approximate formulas for the tails and moments of X and of its decoupled version, which are exact up to some universal constants.
Rafał Latała. Tail and moment estimates for some types of chaos. Studia Mathematica, Tome 135 (1999) no. 1, pp. 39-53. doi: 10.4064/sm-135-1-39-53
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