Some strong limit theorems for weighted sums of measurable operators
DOI10.1142/S0219025721500223zbMath1489.46069OpenAlexW4200081013WikidataQ113776930 ScholiaQ113776930MaRDI QIDQ5037865
Nguyen Van Quang, Nguyen Van Huan
Publication date: 4 March 2022
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219025721500223
strong law of large numbersweighted sumsmeasurable operatoralmost uniform convergencemartingale limit theorembilateral almost uniform convergencesuccessively independence
Strong limit theorems (60F15) Noncommutative probability and statistics (46L53) Martingales and classical analysis (60G46)
Cites Work
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- Convergence of weighted averages of noncommutative martingales
- Marcinkiewicz-Zygmund type strong law of large numbers for pairwise i.i.d. random variables
- The strong laws of large numbers for positive measurable operators and applications
- On the Hsu-Robbins-Erdős-Spitzer-Baum-Katz theorem for random fields
- Strong limit theorems in non-commutative probability
- Conditional expectation in an operator algebra. II
- On weak law of large numbers for sums of negatively superadditive dependent random variables
- Strong limit theorems for weighted sums of negatively associated random variables
- Some weak laws of large numbers in noncommutative probability
- Some kinds of uniform integrability and laws of large numbers in noncommutative probability
- Convergence rates for weighted sums in noncommutative probability space
- Strong laws of large numbers in von Neumann algebras
- Etemadi and Kolmogorov inequalities in noncommutative probability spaces
- On the strong law of large numbers for weighted sums of random variables
- On complete convergence and the strong law of large numbers for pairwise independent random variables
- Martingales on von Neumann algebras
- Laws of large numbers in von Neumann algebras and related results
- The strong law of large numbers for states and traces of aW*-algebra
- Probability: A Graduate Course
- Convergence Rates in the Law of Large Numbers
- On the strong law of large numbers
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