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Characterization and Stability Problems for Finite Quadratic Forms

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Asymptotic Methods in Probability and Statistics with Applications

Part of the book series: Statistics for Industry and Technology ((SIT))

Abstract

Sufficient conditions are given under which the distribution of a finite quadratic form in independent identically distributed symmetric random variables defines uniquely the underlying distribution. Moreover, a stability theorem for quadratic forms is proved.

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References

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Author information

Authors and Affiliations

  1. Otto-von-Guericke-Universität Magdeburg, Magdeburg, Germany

    G. Christoph

  2. Steklov Mathematical Institute, Moscow, Russia

    Yu. Prohorov

  3. Moscow State University, Moscow, Russia

    V. Ulyanov

Authors
  1. G. Christoph
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  2. Yu. Prohorov
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  3. V. Ulyanov
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, L8S 4K1, Canada

    N. Balakrishnan

  2. Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia

    I. A. Ibragimov  & V. B. Nevzorov  & 

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© 2001 Springer Science+Business Media New York

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Christoph, G., Prohorov, Y., Ulyanov, V. (2001). Characterization and Stability Problems for Finite Quadratic Forms. In: Balakrishnan, N., Ibragimov, I.A., Nevzorov, V.B. (eds) Asymptotic Methods in Probability and Statistics with Applications. Statistics for Industry and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0209-7_3

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  • DOI: https://doi.org/10.1007/978-1-4612-0209-7_3

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6663-1

  • Online ISBN: 978-1-4612-0209-7

  • eBook Packages: Springer Book Archive

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