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Some results on beta distributions with application to multivariate problems

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Summary

In this paper we obtain some results for the univariate beta distributions. They are applied to obtain the non-null distributions of Rao [3] and Olkin-Shrikhande [2] statistics when concomitant variables are present.

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References

  1. Bhargava, R. (1962). Multivariate tests of hypotheses with incomplete data,Technical Report, No. 3, Applied Mathematics and Statistics Laboratories, Stanford University.

  2. Olkin, Ingram and Shrikhande, S. S. (1954). On a modifiedT 2 problem, (abstract).Ann. Math. Statist.,25, 808.

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  3. Rao, C. R. (1949). On some problems arising out of discrimination with multiple characters,Sankhya,9, 343–366.

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  4. Rao, C. R. (1952).Advanced Statistical Methods in Biometric Research, John Wiley and Sons, New York.

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Authors and Affiliations

  1. Ontario Institute for Studies in Education, Ontario, Canada

    R. P. Bhargava

  2. University of Toronto, Toronto, Canada

    R. P. Bhargava

Authors
  1. R. P. Bhargava
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Bhargava, R.P. Some results on beta distributions with application to multivariate problems. Ann Inst Stat Math 27, 109–116 (1975). https://doi.org/10.1007/BF02504630

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  • DOI: https://doi.org/10.1007/BF02504630

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