Some properties of Renyi entropy and Renyi entropy rate
Some properties of Renyi entropy and Renyi entropy rate
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DOI：
10.1016/j.ins.2009.03.002
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发表时间：
2009-06-27
影响因子：
8.1
通讯作者：
Yari, Gholamhossein
中科院分区：
文献类型：
--
作者：
Golshani, Leila;Pasha, Einollah;Yari, Gholamhossein
本文定义了条件Renyi熵，并证明了Renyi熵的链式法则。然后，我们引入了Renyi熵率的关系式，并利用它推导了不可约非周期马尔可夫链的Renyi熵率。我们还证明了Renyi熵率的边界就是Shannon熵率。(C) 2009爱思唯尔公司版权所有。
In this paper, we define the conditional Renyi entropy and show that the so-called chain rule holds for the Renyi entropy. Then, we introduce a relation for the rate of Renyi entropy and use it to derive the rate of the Renyi entropy for an irreducible-aperiodic Markov chain. We also show that the bound for the Renyi entropy rate is simply the Shannon entropy rate. (C) 2009 Elsevier Inc. All rights reserved.