Statistical proofs of some matrix inequalities
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Publication:1595158
DOI10.1016/S0024-3795(99)00276-1zbMath0977.15007WikidataQ127846951 ScholiaQ127846951MaRDI QIDQ1595158
Publication date: 28 January 2002
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
convexityFisher informationgeneralized inverseKronecker productSchur complementsSchur productcovariance matricesMilne's inequalityCarlen's inequality
Nonparametric estimation (62G05) Miscellaneous inequalities involving matrices (15A45) Statistical aspects of information-theoretic topics (62B10)
Related Items (8)
The inefficiency of least squares: Extensions of the Kantorovich inequality ⋮ Some properties and applications of the efficient Fisher score ⋮ Sub- and superadditivity à la Carlen of matrices related to the Fisher information ⋮ Inequalities for Weighted Trigonometric Sums ⋮ Direct approach to quantum extensions of Fisher information ⋮ Variants of Čebyšev's inequality with applications ⋮ The inequality of Milne and its converse. II ⋮ Convergence properties of some block Krylov subspace methods for multiple linear systems
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- R. A. Fisher: The founder of modern statistics
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- The Shorted Operator Statistically Interpreted
- Statistical proofs of some matrix results
- Linear Statistical Inference and its Applications
- Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
- Inequalities: theory of majorization and its applications
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