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Linear and Multilinear Algebra Volume 38, 1994 - Issue 1-2
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Original Articles

Statistical proofs of some matrix results

Aloke Dey Indian Statistical Institute, New Delhi, 110016, India
,
Sayaji Hande Indian Statistical Institute, New Delhi, 110016, India
&
M. L. Tiku Department of Mathematics & Statistics, McMaster university Hamilton, Ontario, Canada
Pages 109-116 | Received 20 Aug 1993, Published online: 30 May 2007

References

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  • Anderson , W. N. Jr. , Morley , T. D. and Trapp , G. E. 1984 . Symmetric function means of positive operators . Linear Algebra Appl , 60 : 129 – 143 .
  • Dey , A. and Gupta , S. C. 1977 . Singular weighing designs and estimation of total weight . Comm. Statist. A, Theo. Metho , 6 : 289 – 295 .
  • Gaffke , N. and Krafft , O. 1977 . Optimum properties of latin square designs and a matrix inequality . Math. Operationsforsch. Statist. Ser. Statist , 8 : 345 – 350 .
  • Karlin , S. and Rinotte , Y. 1981 . Total positivity properties of absolute value multinomial variables with applications to confidence interval estimates and related probabilistic inequalities . Ann. Statist , 9 : 1035 – 1049 .
  • Mitra , S. K. 1973 . Statistical proofs of some propositions on nonnegative definite matrices . Bull. Inter. Statist. Inst , XLV : 206 – 211 .
  • Mitra , S. K. 1993 . “ Transformations of the range space and direct orthogonal projector ” . In Statist. Probab.:A Raghu Raj Bahadur Festschrift , Edited by: Ghosh , J. K. 463 – 474 . New Delhi : Wiley Eastern Ltd. .
  • Mitra , S. K. and Puntanen , S. 1991 . The shorted operator statistically interpreted . Calcutta Statist. Assoc. Bull. , 40 : 97 – 102 .

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