Rosenthal type inequalities for \(B\)-valued strong mixing random fields and their applications

DOI10.1007/BF02901956zbMath0916.60007OpenAlexW2015073462MaRDI QIDQ1267233

Zhang, Lixin

Publication date: 12 July 1999

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02901956

zbMATH Keywords

law of large numbersrandom fieldmixingmoment inequality

Mathematics Subject Classification ID

Random fields (60G60) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (7)

Maximal moment inequality for partial sums of strong mixing sequences and application ⋮ Convergence rates in the strong laws of asymptotically negatively associated random fields ⋮ Change-point detection and bootstrap for Hilbert space valued random fields ⋮ Strong laws of large numbers for adapted arrays of set-valued and fuzzy-valued random variables in Banach space ⋮ LIL behavior for B-valued strong mixing random variables ⋮ A note on strong laws of large numbers for dependent random sets and fuzzy random sets ⋮ A weak convergence for negatively associated fields

Cites Work

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• On the spectral density and asymptotic normality of weakly dependent random fields
• Three theorems on \(\rho^*\)-mixing random fields
• A CLT for the periodograms of a \(p\)-mixing random field
• Moment Conditions for Almost Sure Convergence of Weakly Correlated Random Variables

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