The Hàjek-Rènyi inequlity for Banach space valued random variable sequences and its application

DOI10.1007/BF02834906zbMath0938.60018OpenAlexW2033037244MaRDI QIDQ4234371

Shixin Gan

Publication date: 21 June 2000

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02834906

zbMATH Keywords

\(p\)-smoothable spacestrong laws of large numbersHájek-Rényi inequalityBanach space valued martingalespace of type \(p\)integrability of the maximal functions

Mathematics Subject Classification ID

Vector-valued measures and integration (46G10) Martingales and classical analysis (60G46) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (5)

On moments of the maximum of normed partial sums of \(\rho \)-mixing random variables ⋮ On the strong law of large numbers for non-independentB-valued random variables ⋮ Moments of the maximum of normed partial sums of \(\rho^-\)-mixing random variables ⋮ On the Hàjek-Rènyi inequality ⋮ The Hájek-Rényi inequality for the NA random variables and its application

Cites Work

• Unnamed Item
• On the integrability of \(\sup | S_ n| /n^{1/r}\) for \(1<r<2\)
• On moment conditions for the supremum of normed sums
• Stochastic convergence of weighted sums of random elements in linear spaces
• The law of large numbers and the central limit theorem in Banach spaces

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