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A Modern Course on Statistical Distributions in Scientific Work pp 1–13Cite as

Some Problems in the Characterization of the Multivariate Normal Distribution

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Part of the NATO Advanced Study Institutes Series book series (ASIC,volume 17)

Abstract

I consider it as a great honour to be called upon to deliver the Linnik Memorial Lecture at the conference on Characterization of Statistical Distributions and its Applications to Theoretical Statistics and Applied Fields. I had the pleasure of collaborating with Academician Linnik in starting some lines of research on characterization of probability distributions, which led to the publication of a full length monograph on the subject by Kagan, Linnik and Rao [3], which will be referred to as KLR in this paper.

Keywords

  • Conditional Distribution
  • Real Hilbert Space
  • Quadratic Polynomial
  • Multivariate Normal Distribution
  • Memorial Lecture

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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  3. Kagan, A. M., Linnik, Yu. V. and Rao, C. R. ( 1972, 1973). Characterization Problems of Mathematical Statistics. edition, 1973, John Wiley, New York.

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Author information

Authors and Affiliations

  1. Indian Statistical Institute, India

    C. Radhakrishna Rao

Authors
  1. C. Radhakrishna Rao
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Editor information

Editors and Affiliations

  1. The Pennsylvania State University, University Park, Pa., USA

    Ganapati P. Patil

  2. Temple University, Philadelphia, Pa., USA

    Samuel Kotz

  3. University of Warwick, Coventry, England

    J. K. Ord

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© 1975 D. Reidel Publishing Company, Dordrecht-Holland

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Rao, C.R. (1975). Some Problems in the Characterization of the Multivariate Normal Distribution. In: Patil, G.P., Kotz, S., Ord, J.K. (eds) A Modern Course on Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1848-7_1

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  • DOI: https://doi.org/10.1007/978-94-010-1848-7_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-1850-0

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