Conditional entropy, entropy density, and strong law of large numbers for generalized controlled tree-indexed Markov chains

doi:10.1080/03610926.2017.1285935

CORC > 上海财经大学 > 上海财经大学

	Conditional entropy, entropy density, and strong law of large numbers for generalized controlled tree-indexed Markov chains
	Peng, Weicai 1,2
刊名	COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
	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.