On complete moment convergence for CAANA random vectors in Hilbert spaces

DOI10.1016/j.spl.2018.02.068zbMath1391.60054OpenAlexW2793765721MaRDI QIDQ1642256

Mi-Hwa Ko

Publication date: 20 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.spl.2018.02.068

zbMATH Keywords

Hilbert spacescomplete moment convergencecoordinate-wise asymptotically almost negatively associated random vectors

Mathematics Subject Classification ID

Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (7)

The complete moment convergence for coordinatewise pairwise negatively quadrant dependent random vectors in Hilbert space ⋮ On complete and complete moment convergence for weighted sums of ANA random variables and applications ⋮ On convergence properties for weighted sums of coordinatewise ANA random vectors in Hilbert spaces ⋮ Generalized weak laws of large numbers in Hilbert spaces ⋮ Complete and complete moment convergence with applications to the EV regression models ⋮ Complete Moment Convergence for the Dependent Linear Processes with Application to the State Observers of Linear-Time-Invariant Systems ⋮ Complete and complete moment convergence for randomly weighted sums ofρ*-mixing random variables and its applications

Cites Work

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• On the complete convergence for sequences of random vectors in Hilbert spaces
• Some strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables
• Baum-Katz type theorems for coordinatewise negatively associated random vectors in Hilbert spaces
• The Hájek-Rényi inequality for the AANA random variables and its applications
• Convergence properties for asymptotically almost negatively associated sequence
• A note on the almost sure convergence for dependent random variables in a Hilbert space
• Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications
• Laws of large numbers for Cesàro alpha-integrable random variables under dependence condition AANA or AQSI
• Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables
• The strong law of large numbers for weighted averages under dependence assumptions
• Strong convergence for sequences of asymptotically almost negatively associated random variables
• Complete Convergence and the Law of Large Numbers

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