Geodesic
On Probability Analogs of Rosenthal's Inequality
Matematičeskie zametki, Tome 90 (2011) no. 5, pp. 665-671

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We obtain probability combinatorial inequalities for independent random variables, strengthening the well-known Rosenthal inequality. As a corollary, we prove that the generalized Rosenthal inequality for identically distributed independent functions remains valid in the case of quasinormed symmetric spaces.
Keywords: Rosenthal inequality, independent random variables, quasinormed symmetric space, bistochastic matrix, Paley–Zygmund inequality. 
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     author = {S. V. Astashkin and K. E. Tikhomirov},
     title = {On {Probability} {Analogs} of {Rosenthal's} {Inequality}},
     journal = {Matemati\v{c}eskie zametki},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_90_5_a2/}
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S. V. Astashkin; K. E. Tikhomirov. On Probability Analogs of Rosenthal's Inequality. Matematičeskie zametki, Tome 90 (2011) no. 5, pp. 665-671. http://geodesic.mathdoc.fr/item/MZM_2011_90_5_a2/