Fisher-type information involving higher order derivatives
Sergey G. Bobkov
TL;DR
This paper explores properties of Fisher-type information involving higher order derivatives, using them to analyze probability densities and derive Stam-type inequalities, advancing theoretical understanding in information theory.
Contribution
It introduces a framework for Fisher-type information with higher order derivatives and applies it to derive new inequalities and properties of probability densities.
Findings
Derived Stam-type inequalities using higher order Fisher information
Analyzed properties of probability densities with the new framework
Provided theoretical insights into Fisher-type information involving derivatives
Abstract
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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