Geodesic
An extremal property of self-normalized sums for symmetric random variables
Matematičeskie trudy, Tome 27 (2024) no. 4, pp. 19-25 
I. S. Borisov. An extremal property of self-normalized sums for symmetric random variables. Matematičeskie trudy, Tome 27 (2024) no. 4, pp. 19-25. http://geodesic.mathdoc.fr/item/MT_2024_27_4_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Sharp moment inequalities are obtained for a class of analytic functions of self-normalized sums of independent symmetrically distributed random variables.

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[3] Giné E., and Mason D., “On the LIL for self-normalized sums of IID random variables”, J. Theor. Probab., 351:11 (1998) | MR

[4] Whittle P., “Bounds for the moments of linear and quadratic forms in independent variables”, Teor. Veroyatnost. i Primenen., 331:5 (1960), 118-134 | MR