Geodesic
Moment inequalities for sums of certain independent symmetric random variables
Studia Mathematica, Tome 123 (1997) no. 1, pp. 15-42 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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This paper gives upper and lower bounds for moments of sums of independent random variables $(X_k)$ which satisfy the condition $P(|X|_k ≥ t) = exp(-N_k(t))$, where $N_k$ are concave functions. As a consequence we obtain precise information about the tail probabilities of linear combinations of independent random variables for which $N(t) = |t|^r$ for some fixed 0 r ≤ 1. This complements work of Gluskin and Kwapień who have done the same for convex functions N. 
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     title = {Moment inequalities for sums of certain independent symmetric random variables},
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P. Hitczenko;  ;  . Moment inequalities for sums of certain independent symmetric random variables. Studia Mathematica, Tome 123 (1997) no. 1, pp. 15-42. doi: 10.4064/sm-123-1-15-42

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