Moment Inequalities for Symmetric Statistics

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In this paper, we prove analogues of Khintchine and Rosenthal's moment inequalities for symmetric statistics (U-statistics) of arbitrary order. An example that shows significance of each term in the analogues of Rosenthal's bounds for symmetric statistics is constructed as well.
PDF file, in Russian

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Probability, Functional Analysis, Primary 60E15, 60F25, 60G50

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http://salesiana.dossiersoluciones.com/handle/123456789/59095

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0005004
 http://arxiv.org/abs/math/0005004
 "Modern Problems of Probability Theory and Mathematical Statistics; Proceedings of the 4th Fergana International Colloquium on Probability Theory and Mathematical Statistics held 27-29 September, 1995"; Tashkent, 2000, pp. 184-193

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