Fisher-type information involving higher order derivatives

Sergey G. Bobkov

Fisher-type information involving higher order derivatives

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arxiv 2412.10200 v1 pith:CCZ6RT2L submitted 2024-12-13 cs.IT math.IT

Sergey G. Bobkov This is my paper · ORCID

classification cs.ITmath.IT

keywords derivativesfisher-typehigherinformationinvolvingorderpropertiesbasic

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Basic general properties are considered for the Fisher-type information involving higher order derivatives. They are used to explore various properties of probability densities and to derive Stam-type inequalities.

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Stabilized Higher-Order Influence Functions: Statistical Theory of a Class of Bilinear Forms
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