A better bound on the variance

American Mathematical Monthly

Volumn 107, Issue 4, 2000, Pages 353-357

  Bhatia, Rajendra ^a   Davis, Chandler ^b  

^a INDIAN STATISTICAL INSTITUTE   (India)

^b UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034343131     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2589180     Document Type: Article

References (7)

1. M.-D. Choi, Some assorted inequalities for positive linear maps on C*-algebras, J. Operator Theory 4 (1980) 271-285.
2. John B. Conway, A Course in Functional Analysis, 2d edn., Springer-Verlag, 1990.
3. Ky Fan, Some matrix inequalities, Abh. Math. Sem. Univ. Hamburg 29 (1966) 185-196.
4. S. T. Jensen and G. P. H. Styan, Some comments and a bibliography on the von Szokefalvi Nagy-Popoviciu and Nair-Thomson inequalities with extensions and applications in statistics and matrix theory, preprint.
5. R. V. Kadison, A generalized Schwarz inequality and algebraic invariants for C*-algebras, Ann. of Math. 56 (1952) 494-503.
6. M. Marcus and H. Minc, A Survey of Matrix Theory and Matrix Inequalities, Allyn Bacon, 1964.
7. A. W. Marshall and I. Olkin, Matrix versions of Cauchy and Kantorovich inequalities, Aequationes Math. 40 (1990) 89-93.