Analogues of Khintchine, Marcinkiewicz–Zygmund and Rosenthal Inequalities for Symmetric Statistics

DOI10.1111/1467-9469.00172zbMath0944.60031arXivmath/0005004OpenAlexW2036525176MaRDI QIDQ4956060

Rustam Ibragimov, Shaturgun Sharakhmetov

Publication date: 24 May 2000

Published in: Scandinavian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005004

zbMATH Keywords

momentMarcinkiewicz-Zygmund inequalitysymmetric statisticsRosenthal inequalityKhinchin inequalitymartingale-difference sequence

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Martingales with discrete parameter (60G42)

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Moment inequalities for sums of products of independent random variables ⋮ On the weak convergence of kernel density estimators inL^pspaces ⋮ On extremal distributions and sharp \(L_p\)-bounds for sums of multilinear forms ⋮ Adaptive randomization in network data ⋮ Asymptotic normality for plug-in estimators of diversity indices on countable alphabets ⋮ Asymptotic analysis of model selection criteria for general hidden Markov models ⋮ Moment inequalities for matrix-valued U-statistics of order 2

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