
doi: 10.1214/22-ejp834
The author considers random vectors \(X\) in \(\mathbb R^n\) with density \(p\). For these vectors, upper bounds for the Fisher information in terms of total variation and norms in Sobolev spaces are found. The author refines a number of known results in this direction.
Measures of information, entropy, Fisher information, Sobolev spaces, Central limit and other weak theorems
Measures of information, entropy, Fisher information, Sobolev spaces, Central limit and other weak theorems
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