New classes of upper moments and down-Fisher measures satisfy a battery of sharp informational inequalities whose optimal constants and minimizers are transported from the classical Stam, Cramér-Rao, and moment-entropy inequalities.
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Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities
New classes of upper moments and down-Fisher measures satisfy a battery of sharp informational inequalities whose optimal constants and minimizers are transported from the classical Stam, Cramér-Rao, and moment-entropy inequalities.