On the weak laws of large numbers for sums of negatively associated random vectors in Hilbert spaces

DOI10.1016/J.SPL.2015.08.030zbMath1329.60029OpenAlexW1855224095MaRDI QIDQ900957

N. E. Zubov

Publication date: 23 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.spl.2015.08.030

zbMATH Keywords

random sumsHilbert spacesweak law of large numbersnegatively associated random vectors

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (14)

On the strong laws of large numbers for sequences of blockwise pairwise and coordinatewise negatively dependent random vectors in Hilbert spaces ⋮ Convergence in mean for double arrays of \(M\)-pairwise negatively dependent random variables ⋮ Convergence properties for weighted sums of weakly dependent random vectors in Hilbert spaces ⋮ The complete moment convergence for CNA random vectors in Hilbert spaces ⋮ Convergence properties for coordinatewise asymptotically negatively associated random vectors in Hilbert space ⋮ On the convergence for weighted sums of Hilbert-valued coordinatewise pairwise NQD random variables and its application ⋮ The complete moment convergence for coordinatewise pairwise negatively quadrant dependent random vectors in Hilbert space ⋮ Unnamed Item ⋮ On the notions of stochastic domination and uniform integrability in the Cesàro sense with applications to weak laws of large numbers for random fields ⋮ On a new concept of stochastic domination and the laws of large numbers ⋮ Complete f-moment convergence for arrays of rowwise m-negatively associated random variables and its statistical applications ⋮ Generalized weak laws of large numbers in Hilbert spaces ⋮ On weak laws of large numbers for maximal partial sums of pairwise independent random variables ⋮ On the weak laws of large numbers for weighted sums of dependent identically distributed random vectors in Hilbert spaces

Cites Work

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• Weak laws of large numbers of double sums of independent random elements in Rademacher type \(p\) and stable type \(p\) Banach spaces
• Bootstrap for dependent Hilbert space-valued random variables with application to von Mises statistics
• A note on the almost sure convergence for dependent random variables in a Hilbert space
• Strassen's law of the iterated logarithm for negatively associated random vectors.
• Negative association of random variables, with applications
• On the almost sure convergence for dependent random vectors in Hilbert spaces
• On Almost Sure and Mean Convergence of Normed Double Sums of Banach Space Valued Random Elements
• Probability: A Graduate Course

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