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A tribute to P.R. Krishnaiah

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  • Bai, Zhidong
  • Silverstein, Jack W.

Abstract

The authors reminisce on their association with P.R. Krishnaiah, renowned professor of statistics at the University of Pittsburgh and founding editor of the Journal of Multivariate Analysis. They recount their individual associations with him, mainly involving the behavior of eigenvalues of random matrices, and outline two areas of applied work he performed with one of the authors.

Suggested Citation

  • Bai, Zhidong & Silverstein, Jack W., 2022. "A tribute to P.R. Krishnaiah," Journal of Multivariate Analysis, Elsevier, vol. 188(C).
    • Handle: RePEc:eee:jmvana:v:188:y:2022:i:c:s0047259x21001068
    DOI: 10.1016/j.jmva.2021.104828
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    References listed on IDEAS

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    1. Silverstein, Jack W., 1989. "On the eigenvectors of large dimensional sample covariance matrices," Journal of Multivariate Analysis, Elsevier, vol. 30(1), pages 1-16, July.
    2. Krishnaiah, P. R. & Chang, T. C., 1971. "On the exact distributions of the extreme roots of the Wishart and MANOVA matrices," Journal of Multivariate Analysis, Elsevier, vol. 1(1), pages 108-117, April.
    3. Zhao, L. C. & Krishnaiah, P. R. & Bai, Z. D., 1986. "On detection of the number of signals in presence of white noise," Journal of Multivariate Analysis, Elsevier, vol. 20(1), pages 1-25, October.
    4. Bai, Z. D. & Silverstein, Jack W. & Yin, Y. Q., 1988. "A note on the largest eigenvalue of a large dimensional sample covariance matrix," Journal of Multivariate Analysis, Elsevier, vol. 26(2), pages 166-168, August.
    5. Silverstein, Jack W., 1984. "Some limit theorems on the eigenvectors of large dimensional sample covariance matrices," Journal of Multivariate Analysis, Elsevier, vol. 15(3), pages 295-324, December.
    6. Yin, Y. Q. & Bai, Z. D. & Krishnaiah, P. R., 1983. "Limiting behavior of the eigenvalues of a multivariate F matrix," Journal of Multivariate Analysis, Elsevier, vol. 13(4), pages 508-516, December.
    7. Jonsson, Dag, 1982. "Some limit theorems for the eigenvalues of a sample covariance matrix," Journal of Multivariate Analysis, Elsevier, vol. 12(1), pages 1-38, March.
    8. Silverstein, Jack W., 1984. "Comments on a result of Yin, Bai, and Krishnaiah for large dimensional multivariate F matrices," Journal of Multivariate Analysis, Elsevier, vol. 15(3), pages 408-409, December.
    9. Zhao, L. C. & Krishnaiah, P. R. & Bai, Z. D., 1986. "On detection of the number of signals when the noise covariance matrix is arbitrary," Journal of Multivariate Analysis, Elsevier, vol. 20(1), pages 26-49, October.
    10. Yin, Y. Q. & Krishnaiah, P. R., 1983. "A limit theorem for the eigenvalues of product of two random matrices," Journal of Multivariate Analysis, Elsevier, vol. 13(4), pages 489-507, December.
    11. Silverstein, Jack W., 1989. "On the weak limit of the largest eigenvalue of a large dimensional sample covariance matrix," Journal of Multivariate Analysis, Elsevier, vol. 30(2), pages 307-311, August.
    12. Bai, Z. D. & Yin, Y. Q. & Krishnaiah, P. R., 1986. "On limiting spectral distribution of product of two random matrices when the underlying distribution is isotropic," Journal of Multivariate Analysis, Elsevier, vol. 19(1), pages 189-200, June.
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