The degenerate convergence criterion and Feller's weak law of large numbers for double arrays in noncommutative probability

DOI10.1016/j.spl.2013.04.003zbMath1278.60053OpenAlexW1987392730MaRDI QIDQ383976

Nguyen Ngoc Huy, Le Hong Son, Nguyen Van Quang

Publication date: 6 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.spl.2013.04.003

zbMATH Keywords

von Neumann algebraweak law of large numbersadapted double array of measurable operatorsconvergence in measure topology

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Noncommutative probability and statistics (46L53)

Related Items (2)

Some kinds of uniform integrability and laws of large numbers in noncommutative probability ⋮ The strong laws of large numbers for positive measurable operators and applications

Cites Work

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• Strong limit theorems in non-commutative probability
• Conditional expectation in an operator algebra. II
• Quantum probability for probabilists
• Notes on non-commutative integration
• Some weak laws of large numbers in noncommutative probability
• On the weak law of large numbers for adapted sequences in von Neumann algebra
• On the weak law of large numbers for \(d\)-dimensional arrays in von Neumann algebra
• Strong laws of large numbers in von Neumann algebras
• WEAK LAW OF LARGE NUMBERS FOR ADAPTED DOUBLE ARRAYS OF RANDOM VARIABLES
• Laws of large numbers in von Neumann algebras and related results
• The strong law of large numbers for states and traces of aW*-algebra

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