Complete convergence for coordinatewise asymptotically negatively associated random vectors in Hilbert spaces
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Publication:4638734
DOI10.1080/03610926.2017.1310242zbMath1388.60074OpenAlexW2598435733MaRDI QIDQ4638734
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
complete convergenceHilbert spaceasymptotically negative associationcoordinatewise asymptotically negative associationcoordinatewise weakly bounded
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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