Half independence and half cumulants

DOI10.1214/ECP.V16-1651zbMath1246.60013OpenAlexW2019518911MaRDI QIDQ428671

Arup Bose, Koushik Saha, Rajat Subhra Hazra

Publication date: 22 June 2012

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/ecp.v16-1651

zbMATH Keywords

central limit theoremfree algebrascumulantsemicircular lawfree independenceCramer's theoremRayleigh distributionC\(\ast\) probability spacehalf commutativityhalf independencenoncommutative probability spacesreverse circulant matrixsymmetric partition

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Convergence of probability measures (60B10)

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