Complete convergence for coordinatewise asymptotically negatively associated random vectors in Hilbert spaces

DOI10.1080/03610926.2017.1310242zbMath1388.60074OpenAlexW2598435733MaRDI QIDQ4638734

Mi-Hwa Ko

Publication date: 27 April 2018

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2017.1310242

zbMATH Keywords

complete convergenceHilbert spaceasymptotically negative associationcoordinatewise asymptotically negative associationcoordinatewise weakly bounded

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (13)

Limiting behavior of the partial sum for negatively superadditive dependent random vectors in Hilbert space ⋮ Generalized Marcinkiewicz Laws for Weighted Dependent Random Vectors in Hilbert Spaces ⋮ Complete and Complete Moment Convergence of the Weighted Sums of $ρ^∗$-Mixing Random Vectors in Hilbert Spaces ⋮ On the almost sure convergence for sums of negatively superadditive dependent random vectors in Hilbert spaces and its application ⋮ Strong convergence properties for partial sums of asymptotically negatively associated random vectors in Hilbert spaces ⋮ Unnamed Item ⋮ Convergence properties for coordinatewise asymptotically negatively associated random vectors in Hilbert space ⋮ 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 ⋮ Some limiting behavior of the maximum of the partial sum for asymptotically negatively associated random vectors in Hilbert space ⋮ Limit theorems for weighted sums of asymptotically negatively associated random variables under some general conditions ⋮ On convergence properties for weighted sums of coordinatewise ANA random vectors in Hilbert spaces ⋮ Generalized weak laws of large numbers in Hilbert spaces

Cites Work

• Baum-Katz type theorems for coordinatewise negatively associated random vectors in Hilbert spaces
• On complete convergence in Marcinkiewicz-Zygmund type SLLN for negatively associated random variables
• Limiting behavior of the maximum of the partial sum for asymptotically negatively associated random variables under residual Cesáro alpha-integrability assumption
• A note on the almost sure convergence for dependent random variables in a Hilbert space
• Almost-sure results for a class of dependent random variables
• A comparison theorem on moment inequalities between negatively associated and independent random variables
• Convergence Rates in the Law of Large Numbers
• Complete Convergence and the Law of Large Numbers
• On a Theorem of Hsu and Robbins
• Central limit theorems for asymptotically negatively associated random fields
• A functional central limit theorem for asymptotically negatively dependent random fields

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