Some characteristic properties of the Fisher information matrix via Cacoullos-type inequalities

DOI10.1006/jmva.1993.1014zbMath0765.62055OpenAlexW2031807602MaRDI QIDQ1209881

S. Singh

Publication date: 16 May 1993

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmva.1993.1014

zbMATH Keywords

Fisher informationlower boundsconvolutionslinear combinations of random variablesCacoullos-type inequalitiesclassical characterizations of the normal distributionmatrix analogue of the Darmois-Skitovich result

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Characterization and structure theory of statistical distributions (62E10)

Related Items (8)

Some information theoretic ideas useful in statistical inference ⋮ On Two Forms of Fisher's Measure of Information ⋮ Stam inequality on \(\mathbb Z_n\) ⋮ An extension of the information inequality and related characterizations ⋮ Variational inequalities for arbitrary multivariate distributions ⋮ On a measure of dependence based on fisher's information matrix ⋮ Measures of multivariate dependence based on a distance between Fisher information matrices ⋮ Information Measures for Some Well-Known Families

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