On the asymptotic joint distributions of certain functions of the eigenvalues of four random matrices

作者: P.R Krishnaiah , Jack C Lee

DOI: 10.1016/0047-259X(79)90082-4

关键词: Pure mathematicsMatrix functionMathematicsRandom matrixMathematical analysisSymmetric matrixEigendecomposition of a matrixMatrix gamma distributionSquare matrixNonnegative matrixSquare root of a 2 by 2 matrix

摘要: Abstract In this paper, the authors obtained asymptotic expressions for joint distributions of certain functions eigenvalues Wishart matrix, correlation MANOVA matrix and canonical when population roots have multiplicity.

参考文章(6)
T. W. Anderson, The Asymptotic Distribution of Certain Characteristic Roots and Vectors Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability. pp. 103- 130 ,(1951)
P. R. Krishnaiah, V. B. Waikar, SIMULTANEOUS TESTS FOR EQUALITY OF LATENT ROOTS AGAINST CERTAIN ALTERNATIVES-II. Annals of the Institute of Statistical Mathematics. ,vol. 24, pp. 81- 85 ,(1971) , 10.1007/BF02479739