A generalized weak law of large numbers for noncommuting random variables

DOI10.1512/IUMJ.1996.45.1971zbMath0866.46043OpenAlexW1995686740MaRDI QIDQ5285268

Vittorino Pata

Publication date: 24 July 1997

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1996.45.1971

zbMATH Keywords

generalized weak law of large numbersnoncommuting random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (4)

Inequalities for martingales with respect to positive module operators ⋮ Convergence rates for weighted sums in noncommutative probability space ⋮ Noncommutative Fuk-Nagaev inequalities and their applications ⋮ Noncommutative Baum--Katz theorems

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