A de Bruijn identity for discrete random variables

被引：0

作者：

Johnson, Oliver ^{[1
]}

Guha, Saikat ^{[2
]}

机构：

[1] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

[2] Raytheon BBN Technol, Quantum Informat Proc Grp, Cambridge, MA 02138 USA

来源：

2017 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT) | 2017年

关键词：

ENTROPY; MONOTONICITY; INEQUALITIES; LAW;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We discuss properties of the "beamsplitter addition" operation, which provides a non-standard scaled convolution of random variables supported on the non-negative integers. We give a simple expression for the action of beamsplitter addition using generating functions. We use this to give a self-contained and purely classical proof of a heat equation and de Bruijn identity, satisfied when one of the variables is geometric.

引用

页码：898 / 902

页数：5

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