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Cumulants in noncommutative probability theory II
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  • Published: 26 August 2003

Cumulants in noncommutative probability theory II

  • Franz Lehner1 

Probability Theory and Related Fields volume 127, pages 407–422 (2003)Cite this article

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Abstract

We continue the investigation of noncommutative cumulants. In this paper various characterizations of generalized Gaussian random variables are proved.

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Authors and Affiliations

  1. Institut für Mathematik C, Technische Universität Graz, Steyrergasse 30, 8010, Graz, Austria

    Franz Lehner

Authors
  1. Franz Lehner
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Corresponding author

Correspondence to Franz Lehner.

Additional information

Supported by the European Network No. HPRN-CT-2000-00116 and the Austrian Science Fund (FWF) Project No. R2-MAT.

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Lehner, F. Cumulants in noncommutative probability theory II. Probab. Theory Relat. Fields 127, 407–422 (2003). https://doi.org/10.1007/s00440-003-0292-0

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  • Received: 12 November 2002

  • Revised: 30 June 2003

  • Published: 26 August 2003

  • Issue Date: November 2003

  • DOI: https://doi.org/10.1007/s00440-003-0292-0

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Keywords

  • Probability Theory
  • Gaussian Random Variable
  • Noncommutative Probability
  • Noncommutative Probability Theory
  • Generalize Gaussian Random Variable
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