An asymmetric Marcinkiewicz-Zygmund LLN for random fields

DOI10.1016/j.spl.2008.12.006zbMath1162.60314OpenAlexW1982567266MaRDI QIDQ1012098

Allan Gut, Ulrich Stadtmüller

Publication date: 14 April 2009

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2008.12.006

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (11)

On the convergence rates in the asymmetric SLLN for independent and nonidentically distributed random fields ⋮ On the necessary condition for Baum-Katz type theorem for non-identically distributed and negatively dependent random fields ⋮ On the Hsu-Robbins-Erdős-Spitzer-Baum-Katz theorem for random fields ⋮ On convergence rate in the SLLN for maximums of moving-average sums of ALNQD random fields ⋮ Cesàro summation for random fields ⋮ On complete convergence for weighted sums of martingale-difference random fields ⋮ Strong laws of large numbers for random fields in martingale type \(p\) Banach spaces ⋮ On the Asymmetric Marcinkiewicz-Zygmund Strong Law of Large Numbers for Linear Random Fields ⋮ Rate of complete convergence for maximums of moving average sums of martingale difference fields in Banach spaces ⋮ An approach to complete convergence theorems for dependent random fields via application of Fuk-Nagaev inequality ⋮ Almost sure convergence for double arrays of block-wiseM-dependent random elements in Banach spaces

Cites Work

• Unnamed Item
• An inequality for sums of independent random variables indexed by finite dimensional filtering sets and its applications to the convergence of series
• Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices
• Some Strassen-type laws of the iterated logarithm for multiparameter stochastic processes with independent increments
• On the \(L^p\)-convergence for multidimensional arrays of random variables
• On Convergence in $r$-Mean of Normalized Partial Sums
• Probability: A Graduate Course

This page was built for publication: An asymmetric Marcinkiewicz-Zygmund LLN for random fields