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Statistical Distributions in Scientific Work pp 375–378Cite as

On Matrix-Variate Beta Type I Distribution and Related Characterization of Wishart Distribution

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Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 79))

Summary

In this paper, we obtain a characterization of the Wishart distribution using the matrix-variate beta type I as the conditional distribution.

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References

  • Aczel, J. (1966). Lectures on Functional Analysis and Their Applications. (English translation). Academic Press, New York.

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  • Constantine, A. G. (1963). Some non-central distribution problems in multivariate analysis. Annals of Mathematical Statistics, 34, 1270–1285.

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  • Patil, G. P. and Seshadri, V. (1964). Characterization theorems for some univariate probability distributions. Journal of the Royal Statistical Society, Series B, 26, 286–292.

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Author information

Authors and Affiliations

  1. Department of Statistics, University of South Africa, Pretoria, 0001, Republic of South Africa

    J. J. J. Roux

  2. Division of Computer Research and Technology, National Institutes of Health, Bethesda, Maryland, 20205, USA

    M. V. Ratnaparkhi

Authors
  1. J. J. J. Roux
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  2. M. V. Ratnaparkhi
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Editor information

Editors and Affiliations

  1. Department of Statistics, The Pennsylvania State University, University Park, Pennsylvania, USA

    Charles Taillie  & Ganapati P. Patil  & 

  2. Instituto di Calcolo delle Probabilità, Facoltà di Scienze Statistische Demografiche e Attuariali, Università degli Studi di Roma, Italy

    Bruno A. Baldessari

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© 1981 D. Reidel Publishing Company

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Cite this paper

Roux, J.J.J., Ratnaparkhi, M.V. (1981). On Matrix-Variate Beta Type I Distribution and Related Characterization of Wishart Distribution. In: Taillie, C., Patil, G.P., Baldessari, B.A. (eds) Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 79. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8549-0_34

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  • DOI: https://doi.org/10.1007/978-94-009-8549-0_34

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-8551-3

  • Online ISBN: 978-94-009-8549-0

  • eBook Packages: Springer Book Archive

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