Conditional entropy, entropy density, and strong law of large numbers for generalized controlled tree-indexed Markov chains | |
Peng, Weicai1,2 | |
刊名 | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
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2017 | |
卷号 | 46期号:23页码:11880-11891 |
关键词 | AEP conditional entropy controlled tree entropy density strong law of large numbers 60F15 60J10 |
ISSN号 | 0361-0926 |
DOI | 10.1080/03610926.2017.1285935 |
英文摘要 | In this paper, we first introduces a tree model without degree boundedness restriction namely generalized controlled tree T, which is an extension of some known tree models, such as homogeneous tree model, uniformly bounded degree tree model, controlled tree model, etc. Then some limit properties including strong law of large numbers for generalized controlled tree-indexed non homogeneous Markov chain are obtained. Finally, we establish some entropy density properties, monotonicity of conditional entropy, and entropy properties for generalized controlled tree-indexed Markov chains. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | TAYLOR & FRANCIS INC |
WOS记录号 | WOS:000415942200032 |
内容类型 | 期刊论文 |
源URL | [http://10.2.47.112/handle/2XS4QKH4/1073] ![]() |
专题 | 上海财经大学 |
通讯作者 | Peng, Weicai |
作者单位 | 1.Shanghai Univ Finance & Econ, Sch Int Business Adm, Shanghai 200433, Peoples R China; 2.Chaohu Univ, Dept Math, Anhui, Peoples R China |
推荐引用方式 GB/T 7714 | Peng, Weicai. Conditional entropy, entropy density, and strong law of large numbers for generalized controlled tree-indexed Markov chains[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,2017,46(23):11880-11891. |
APA | Peng, Weicai.(2017).Conditional entropy, entropy density, and strong law of large numbers for generalized controlled tree-indexed Markov chains.COMMUNICATIONS IN STATISTICS-THEORY AND METHODS,46(23),11880-11891. |
MLA | Peng, Weicai."Conditional entropy, entropy density, and strong law of large numbers for generalized controlled tree-indexed Markov chains".COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 46.23(2017):11880-11891. |
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