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Some distributions of the latent roots of a complex wishart matrix variate

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References

  1. Constantine, A. G. (1963). Some non-central distribution problems in the multivariate analysis.Ann. Math. Statist.,34, 1270–1285.

    MathSciNet  Google Scholar 

  2. Constantine, A. G. (1966). The distribution of Hotelling's generalizedT 20 ,Ann. Math. Statist.,37, 215–225.

    MathSciNet  Google Scholar 

  3. Goodman, N. R. (1963). Statistical analysis based on a certain multivariate complex Gaussian distribution (an introduction),Ann. Math. Statist.,34, 152–177.

    MathSciNet  Google Scholar 

  4. Hayakawa, T. (1972). On the distribution of the latent roots of a complex Wishart matrix (Non-central case)Ann. Inst. Statist. Math. 24, 1–17.

    Article  MathSciNet  Google Scholar 

  5. Hirakawa, F. (1973). Note on the distribution of the minimum latent root,Ann. Inst. Statist. Math.,25, 165–172.

    Article  MathSciNet  Google Scholar 

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

    MathSciNet  Google Scholar 

  7. Khatri, C. G. (1964). Distribution of the largest or the smallest characteristic root under null hypothesis concerning complex multivariate normal population,Ann. Math. Statist.,35, 1807–1810.

    MathSciNet  Google Scholar 

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

    MathSciNet  Google Scholar 

  9. Khatri, C. G. and Pillai, K. C. S. (1968). On the non-central distributions of two test criteria in multivariate analysis of variance,Ann. Math. Statist.,39, 215–226.

    MathSciNet  Google Scholar 

  10. Sugiyama, T. (1972). Distributions of the largest latent root of the multivariate complex Gaussian distribution,Ann. Inst. Statist. Math.,24, 87–94.

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Science University of Tokyo, Tokyo, Japan

    Fumiko Hirakawa

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  1. Fumiko Hirakawa
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Hirakawa, F. Some distributions of the latent roots of a complex wishart matrix variate. Ann Inst Stat Math 27, 357–363 (1975). https://doi.org/10.1007/BF02504655

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  • DOI: https://doi.org/10.1007/BF02504655

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