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

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-135-1-39-53

Rafał Latała 1

1 
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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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