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Wigner quasi-probability densities and characterization of the Gaussian distribution

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Abstract

A new characterization of the Gaussian distribution was given by R. Hudson in 1974. A sharpening and some extensions of this result are proposed, and connections with other characterizations of the Gaussian distribution are given. Linnik's “ridge principle” is substantially used. Bibliography: 11 titles.

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Authors
  1. A. A. Zinger
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 228, 1996, pp. 142–153.

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Zinger, A.A. Wigner quasi-probability densities and characterization of the Gaussian distribution. J Math Sci 93, 341–348 (1999). https://doi.org/10.1007/BF02364818

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  • DOI: https://doi.org/10.1007/BF02364818

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