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The asymptotic distributions of the statistics based on the complex gaussian distribution

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References

  1. Fujikoshi, Y. (1968). Asymptotic expansion of the distribution of the generalized variance in the non-central case,J. Sci. Hiroshima Univ. Ser. A-I.,32, 293–299.

    MATH  MathSciNet  Google Scholar 

  2. Fujikoshi, Y. (1970). Asymptotic expansions of the distributions of some statistics in multivariate analysis,J. Sci. Hiroshima Univ. Ser. A-I.,34, 73–144.

    MATH  MathSciNet  Google Scholar 

  3. Goodman, N. R. (1963). Statistical analysis based on a certain multivariate complex Gaussian distribution (An Introduction),Ann. Math. Statist.,34, 152–176.

    MATH  MathSciNet  Google Scholar 

  4. James, A. T. (1964). Distributions of matrix variates and latent roots derived from normal samples,Ann. Math. Statist.,35, 475–501.

    MATH  MathSciNet  Google Scholar 

  5. Khatri, C. G. (1965). Classical statistical analysis based on certain multivariate complex Gaussian distribution,Ann. Math. Statist.,36, 98–114.

    MATH  MathSciNet  Google Scholar 

  6. Khatri, C. G. (1966). On certain distribution problems based on positive definite quadratic functions in normal vectors,Ann. Math. Statist.,37, 468–479.

    MATH  MathSciNet  Google Scholar 

  7. Sugiura, N. and Fujikoshi, Y. (1969). Asymptotic expansions of the non-central distributions of the likelihood ratio criteria for multivariate linear hypothesis and independence,Ann. Math. Statist.,40, 942–952.

    MATH  MathSciNet  Google Scholar 

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Additional information

This research was supported by the National Science Foundation under Grant No. GU-2059, the U.S. Air Force Office of Scientific Research under Contract No. AFOSR-68-1415 and the Sakko-kai Foundation.

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Hayakawa, T. The asymptotic distributions of the statistics based on the complex gaussian distribution. Ann Inst Stat Math 24, 231–244 (1972). https://doi.org/10.1007/BF02479753

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  • DOI: https://doi.org/10.1007/BF02479753

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