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Original Articles

A note on the generalisation of cochran’s theorem

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Pages 837-842 | Received 01 Feb 1976, Published online: 27 Jun 2007

References

  • Chipman , J. S. and Rao , M. M. 1964 . Projections, generalized inverse, and quadratic forms . J. Math. Anal. Appl. , 9 : 1 – 11 .
  • Cochran , W. G. 1934 . The distribution of quadratic forms in a normal system with applications to analysis of covariance . Proc. Camb. Phil. Soc. , 30 : 178 – 191 .
  • Graybill , F. A. and Marsaglia , G. 1957 . Idempotent matrices and quadratic forms in the general linear hypothesis . Ann. Math. Statist. , 28 : 678 – 686 .
  • Khatri , C. G. 1961 . A simplified approach to the derivation of the theorems on the rank of a matrix . J. Maharaja Sayajirao Univ. Baroda , 10 : 1 – 5 .
  • Khatri , C. G. 1968 . Some results for the singular normal multivariate regression models . Sankhyā , A 30 : 267 – 280 .
  • Rao , C. R. and Mitra , S. K. 1971 . Generalized Inverse of Matrices and its Application , New York : John Wiley and Sons, Inc. .
  • Styan , G. P. H. 1970 . Notes on the distribution of quadratic forms in singular normal variables . Biometrika , 57 : 567 – 572 .
  • Tan , W. Y. 1975 . Some matrix results and extensions of Cochran’s theorem . SIAM J. Appl. Math. , 28 : 547 – 554 .

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