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Secret Sharing, Rank Inequalities and Information Inequalities
Secret sharing Information inequalities Rank inequalities Polymatroid
2013/4/18
Beimel and Orlov proved that all information inequalities on four or five variables, together with all information inequalities on more than five variables that are known to date, provide lower bounds...
INFORMATION INEQUALITIES FOR THE BAUES RISK OF PREDICTORS
Prediction Bayes risk information inequality
2009/9/18
The paper provides several lower bounds and an upper
bound for the Bayes risk in statistical prediction theory. The bounds
depend on the Fisher information or the bias of the Bayes predictor.
The r...
Generalized Relative Information and Information Inequalities
Relative information Csisz'{a}r's $f-$divergence $chi ^2-$divergence Hellinger's discrimination Relative information of type s Information inequalities
2008/7/1
Generalized Relative Information and Information Inequalities.
On A Symmetric Divergence Measure and Information Inequalities
Divergence measure Csiszár's $f$-divergence Parametric measure Non-parametric measure Mutual information Information inequalities
2008/6/27
A non-parametric symmetric measure of divergence which belongs to the family of Csiszár's f-divergences is proposed. Its properties are studied and bounds in terms of some well known divergence measur...
On Fisher Information Inequalities and Score Functions in Non-invertible Linear Systems
Fisher information Non-invertible linear systems
2008/6/27
In this note, we review score functions properties and discuss inequalities on the Fisher Information Matrix of a random vector subjected to linear non-invertible transformations. We give alternate de...