Strong laws for blockwise \(\mathcal M\)-dependent random fields

DOI10.1007/s10959-007-0127-5zbMath1152.60031OpenAlexW2091904576MaRDI QIDQ939132

Monika Thalmaier, Ulrich Stadtmüller, Ferenc Móricz

Publication date: 21 August 2008

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-007-0127-5

zbMATH Keywords

-dependenceBlockwise summabilityRandom fieldsStrong laws

Mathematics Subject Classification ID

Random fields (60G60) Strong limit theorems (60F15)

Related Items (17)

Convergence in mean for double arrays of \(M\)-pairwise negatively dependent random variables ⋮ On the strong limit theorems for double arrays of blockwise \(M\)-dependent random variables ⋮ Inequalities for sums of adapted random fields in Banach spaces and their application to strong law of large numbers ⋮ Strong laws of large numbers for double arrays of blockwise \(M\)-dependent random sets ⋮ On strong law for blockwise \(M\)-orthogonal random fields ⋮ Characterization of the convergence of weighted averages of sequences and functions ⋮ Redundancy in Gaussian random fields ⋮ Estimation and inference of change points in high-dimensional factor models ⋮ On the almost sure convergence for dependent random vectors in Hilbert spaces ⋮ Strong laws of large numbers for adapted arrays of set-valued and fuzzy-valued random variables in Banach space ⋮ Some strong laws of large numbers for blockwise martingale difference sequences in martingale type \(p\) Banach spaces ⋮ Strong laws for blockwise martingale difference arrays in Banach spaces ⋮ A Hájek-Rényi-type maximal inequality and strong laws of large numbers for multidimensional arrays ⋮ On complete convergence in mean for double sums of independent random elements in Banach spaces ⋮ Strong laws of large numbers for arrays of random variables and stable random fields ⋮ Unnamed Item ⋮ Almost sure convergence for double arrays of block-wiseM-dependent random elements in Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• On the growth order of the rectangular partial sums of multiple non- orthogonal series
• Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices
• Strong limit theorems for quasi-orthogonal random fields
• Strong laws of large numbers for \(r\)-dimensional arrays of random variables
• A family of generalized Nörlund methods and related power series methods applied to double sequences
• Strong Limit Theorems for Blockwise m-Dependent and Blockwise Quasiorthogonal Sequences of Random Variables
• [https://portal.mardi4nfdi.de/wiki/Publication:4092722 Inequalities for max | S k | /b k where k � N r]
• On the Brunk-Chung type strong law of large numbers for sequences of blockwisem-dependent random variables

This page was built for publication: Strong laws for blockwise \(\mathcal M\)-dependent random fields