FISHER INFORMATION AND UNCERTAINTY COMPLEMENTARITY

被引：44

作者：

FRIEDEN, BR

机构：

[1] Optical Sciences Center, University of Arizona, Tuczon

来源：

PHYSICS LETTERS A | 1992年 / 169卷 / 03期

关键词：

D O I：

10.1016/0375-9601(92)90581-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Cramer-Rao inequality (CRI) is a general uncertainty relation expressing reciprocity between the mean-square error in an estimate and the Fisher information I present in the data. The CRI is shown to derive strong uncertainty principles in quantum mechanics and optics. It also derives the Maxwell-Boltzmann law of gas theory as a distribution achieving the minimum CR product.

引用

页码：123 / 130

页数：8