On the strong laws of large numbers for sequences of blockwise pairwise and coordinatewise negatively dependent random vectors in Hilbert spaces

DOI10.1134/S1995080222010036zbMath1487.60063OpenAlexW4297798928WikidataQ114847260 ScholiaQ114847260MaRDI QIDQ2121869

Publication date: 5 April 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222010036

zbMATH Keywords

strong law of large numbers Hilbert space blockwise pairwise and coordinatewise negative dependence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (1)

On the \(L^1\)-convergence for double arrays of blockwise \(M\)-pairwise negatively dependent random variables

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
On the strong limit theorems for double arrays of blockwise \(M\)-dependent random variables
Weak laws of large numbers of double sums of independent random elements in Rademacher type \(p\) and stable type \(p\) Banach spaces
Complete convergence theorems for normed row sums from an array of rowwise pairwise negative quadrant dependent random variables with application to the dependent bootstrap.
On the negative dependence in Hilbert spaces with applications.
On the strong law of large numbers for pairwise independent random variables
Some mean convergence theorems for arrays of rowwise pairwise negative quadrant dependent random variables
On the weak laws of large numbers for sums of negatively associated random vectors in Hilbert spaces
A note on the almost sure convergence for dependent random variables in a Hilbert space
A Berry-Esséen theorem and a functional law of the iterated logarithm for weakly associated random vectors
A note on the almost sure convergence of sums of negatively dependent random variables
Marcinkiewicz-type strong law of large numbers for double arrays of pairwise independent random variables
On the strong convergence and complete convergence for pairwise NQD random variables
A strong limit theorem for sequences of blockwise and pairwise negative quadrant \(m\)-dependent random variables
On the Baum-Katz theorem for sequences of pairwise independent random variables with regularly varying normalizing constants
The Marcinkiewicz-Zygmund-type strong law of large numbers with general normalizing sequences
On the weak laws of large numbers for weighted sums of dependent identically distributed random vectors in Hilbert spaces
On the almost sure convergence for dependent random vectors in Hilbert spaces
Complete \(f\)-moment convergence for extended negatively dependent random variables
On the \(L^p\)-convergence for multidimensional arrays of random variables
Strong convergence for m-pairwise negatively quadrant dependent random variables
A STRONG LIMIT THEOREM FOR SEQUENCES OF BLOCKWISE AND PAIRWISE m-DEPENDENT RANDOM VARIABLES
On Almost Sure and Mean Convergence of Normed Double Sums of Banach Space Valued Random Elements
Convergence properties for weighted sums of weakly dependent random vectors in Hilbert spaces
Long-Range Dependence and Self-Similarity
Some Concepts of Dependence
Regularly varying functions

This page was built for publication: On the strong laws of large numbers for sequences of blockwise pairwise and coordinatewise negatively dependent random vectors in Hilbert spaces