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The free analogue of noncentral chi-square distributions and symmetric quadratic forms in free random variables

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Publication:1297929
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DOI10.1007/PL00004689zbMath0958.46034OpenAlexW1985464981MaRDI QIDQ1297929

Tomoko Kuroda, Masaru Nagisa, Hiroaki Yoshida, Osamu Hiwatashi

Publication date: 4 April 2001

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004689


zbMATH Keywords

free random variablesnoncentral chi-square distribution\(C^*\)-noncommutative probability spacesemicircular systems


Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)


Related Items (5)

A characterization of the normal distribution by the independence of a pair of random vectors ⋮ Sample variance in free probability ⋮ Additivity violation of quantum channels via strong convergence to semi-circular and circular elements ⋮ Resolvents of $\mathscr{R}$-diagonal operators ⋮ Remarks on a free analogue of the beta prime distribution






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