The optimal order for the \(p\)-th moment of sums of independent random variables with respect to symmetric norms and related combinatorial estimates

DOI10.1007/s11117-005-0008-zzbMath1137.46007arXivmath/0209278OpenAlexW2002532896MaRDI QIDQ2499042

Marius Junge

Publication date: 14 August 2006

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209278

zbMATH Keywords

independent random variablessymmetric normscombinatorial probability

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Combinatorial probability (60C05) Probabilistic methods in Banach space theory (46B09) Noncommutative function spaces (46L52) Operator ideals (47L20)

Related Items (10)

Uniform estimates for order statistics and Orlicz functions ⋮ On probability analogs of Rosenthal's inequality ⋮ Best constants in Rosenthal-type inequalities and the Kruglov operator ⋮ Embeddings of Orlicz–Lorentz spaces into $L_1$ ⋮ Rosenthal’s inequalities: ${\Delta }$-norms and quasi-Banach symmetric sequence spaces ⋮ Randomized operators on \({n\times n}\) matrices and applications ⋮ Embeddings of operator ideals into \(\mathcal{L}_p\)-spaces on finite von Neumann algebras ⋮ Symmetric quasi-norms of sums of independent random variables in symmetric function spaces with the Kruglov property ⋮ Geometric and probabilistic analysis of convex bodies with unconditional structures, and associated spaces of operators ⋮ A probabilistic version of Rosenthal’s inequality

Cites Work

• Best constants in moment inequalities for linear combinations of independent and exchangeable random variables
• Uniform convexity of unitary ideals
• Non-commutative Banach function spaces
• Sums of independent random variables in rearrangement invariant function spaces
• Notes on non-commutative integration
• On a domination of sums of random variables by sums of conditionally independent ones
• Noncommutative Burkholder/Rosenthal inequalities
• Approximation properties for noncommutative \(L_p\)-spaces associated with discrete groups
• Generalized s-numbers of \(\tau\)-measurable operators
• Rearrangement invariant norms of symmetric sequence norms of independent sequences of random variables
• Measuring the magnitude of sums of independent random variables
• Orlicz norms of sequences of random variables
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Hypercontraction methods in moment inequalities for series of independent random variables in normed spaces
• $BMO_ψ$-spaces and applications to extrapolation theory
• Doobs inequality for non-commutative martingales
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