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Characterizations of the wishart distribution using regression properties

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References

  1. Buck, R. C. (1956).Advanced Calculus, McGraw-Hill, New York.

    MATH  Google Scholar 

  2. Gordon, F. S. (1968). Characterizations of univariate and multivariate distributions using regression properties, Ph.D. thesis, McGill University.

  3. Gordon, F. S. (1973). Characterizations of populations using regression properties,Ann. Statist.,1, 114–126.

    MathSciNet  Google Scholar 

  4. Gordon, F. S. and Gordon, S. P. (1975). Transcendental functions of a vector variable and a multivariate Poisson distribution,Statistical Distributions in Scientific Work, Vol. III, G. P. Patil, ed., D. Reidel, Dordrecht, Holland.

    Google Scholar 

  5. Gordon, F. S. and Mathai, A. M. (1972). Characterizations of the multivariate normal distribution using regression properties,Ann. Math. Statist.,43, 205–229.

    MathSciNet  Google Scholar 

  6. Laha, R. G. (1954). On a characterization of the Gamma distribution,Ann. Math. Statist.,25, 784–787.

    MathSciNet  Google Scholar 

  7. Laha, R. G. and Lukacs, E. (1960). On a characterization problem connected with quadratic regression,Biometrika,47, 335–343.

    Article  MathSciNet  Google Scholar 

  8. Liusternik, L. and Sobolev, V. (1961).Elements of Functional Analysis, Frederick Ungar Publ. Co., New York.

    Google Scholar 

  9. Lukacs, E. (1960).Characteristic Functions, Charles Griffin and Co., London.

    MATH  Google Scholar 

  10. Lukacs, E. and Laha, R. G. (1964).Applications of Characteristic Functions, Charles Griffin and Co., London.

    MATH  Google Scholar 

  11. Mathai, A. M. (1967). On a problem of regression,S. Afric. Statis. J.,1, 43–48.

    Google Scholar 

  12. Rudin, W. (1953).Principles of Mathematical Analysis, McGraw-Hill, New York.

    MATH  Google Scholar 

  13. Weddernburn, J. H. M. (1934).Lectures on Matrices, A. M. S. Coll. Publ., 17, New York.

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Author information

Authors and Affiliations

  1. Suffolk Community College, UK

    F. S. Gordon & S. P. Gordon

Authors
  1. F. S. Gordon
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  2. S. P. Gordon
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Additional information

This paper is adapted from a portion of a doctorial dissertation submitted by the author to the Faculty of Graduate Studies and Research, McGill University, 1968.

The author wishes to acknowledge support of the National Research Council of Canada

C. W. Post College

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Gordon, F.S., Gordon, S.P. Characterizations of the wishart distribution using regression properties. Ann Inst Stat Math 28, 201–220 (1976). https://doi.org/10.1007/BF02504740

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  • DOI: https://doi.org/10.1007/BF02504740

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