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math.PR2000★ 3 cited
Moment Inequalities for Symmetric Statistics
R. Ibragimov, Sh. Sharakhmetov
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 o…
math.PR1999★ 1 cited
Exact Estimates for Moments of Random Bilinear Forms
R. Ibragimov, Sh. Sharakhmetov, A. Cecen
The present paper concentrates on the analogues of Rosenthal's inequalities for ordinary and decoupled bilinear forms in symmetric random variables. More specifically, we prove the…