Sub- and superadditivity à la Carlen of matrices related to the Fisher information

DOI10.1016/j.jspi.2005.07.011zbMath1113.62060OpenAlexW2013430990MaRDI QIDQ2433834

C. Radhakrishna Rao, Abram M. Kagan, Zinoviy Landsman

Publication date: 30 October 2006

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2005.07.011

zbMATH Keywords

location parameterefficient matrix of Fisher information

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Miscellaneous inequalities involving matrices (15A45)

Cites Work

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• Superadditivity of Fisher's information and logarithmic Sobolev inequalities
• Statistical meaning of Carlen's superadditivity of the Fisher information
• Some properties and applications of the efficient Fisher score
• Statistical proofs of some matrix inequalities
• Multivariate normal distributions, Fisher information and matrix inequalities
• Some inequalities satisfied by the quantities of information of Fisher and Shannon

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