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.

翻译：本文研究了涉及高阶导数的费希尔型信息的基本通用性质。这些性质被用于探索概率密度的各种特性，并推导出Stam型不等式。