Generalized weak laws of large numbers in Hilbert spaces
From MaRDI portal
Publication:6165380
DOI10.1016/j.spl.2023.109830zbMath1517.60035OpenAlexW4323928495MaRDI QIDQ6165380
Publication date: 4 July 2023
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2023.109830
Hilbert spaceweak law of large numberscoordinatewise widely orthant dependent (CWOD) random vectorspairwise and coordinatewise negative dependent (PCND) random vectors
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
Cites Work
- Unnamed Item
- Baum-Katz type theorems for coordinatewise negatively associated random vectors in Hilbert spaces
- On the negative dependence in Hilbert spaces with applications.
- 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
- Complete convergence for arrays
- On complete moment convergence for CAANA random vectors in Hilbert spaces
- Negative association of random variables, with applications
- Uniform asymptotics for the finite-time ruin probability of a dependent risk model with a constant interest rate
- On the weak laws of large numbers for weighted sums of dependent identically distributed random vectors in Hilbert spaces
- A note on the stochastic domination condition and uniform integrability with applications to the strong law of large numbers
- On the almost sure convergence for dependent random vectors in Hilbert spaces
- Complete convergence for coordinatewise asymptotically negatively associated 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
- Convergence properties for weighted sums of weakly dependent random vectors in Hilbert spaces
- A Generalization of Weak Law of Large Numbers
- On the rate of convergence in the strong law of large numbers for martingales
- Complete convergence and complete moment convergence for widely orthant-dependent random variables
- Some Concepts of Dependence