南方科技大学知识苑(SUSTech KC): Distributional Approximation for General Curie-Weiss Models with Size-dependent Inverse Temperatures

题名	Distributional Approximation for General Curie-Weiss Models with Size-dependent Inverse Temperatures
作者	Shao, Qi-Man1 ; Zhang, Mengchen 2; Zhang, Zhuo-Song1
通讯作者	Shao, Qi-Man
发表日期	2024-04-01
DOI	10.1007/s13171-024-00351-z
发表期刊	SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY 影响因子和分区
ISSN	0976-836X
EISSN	0976-8378
摘要	The Curie-Weiss model is a statistical physics model that describes the behavior of a system of particles with mutual interactions. In this paper, we apply Stein's method to establish Berry-Esseen bounds for both normal and non-normal approximations of a broad types of Curie-Weiss model, incorporating a size-dependent inverse temperature. Our result encompasses the Blumer-Emery-Griffiths model as a particular instance, while surpassing the convergence rate of earlier findings by Eichelsbacher and Martschink (2014). By using Stein's method, we provide a comprehensive analysis of the Curie-Weiss model, offering improved bounds on the rate of convergence.
关键词	Curie-Weiss model BEG model Rate of convergence Berry-Esseen bounds Normal approximation Non-normal approximation Stein's method
相关链接	[来源记录]
收录类别	ESCI
语种	英语
学校署名	第一 ; 通讯
资助项目	National Natural Science Foundation of China[12031005] ; National Natural Science Foundation of China for Young Scientists[12301183]
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:001200558500001
出版者	SPRINGER
来源库	Web of Science
引用统计
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/788574
专题	理学院_统计与数据科学系
作者单位	1.Southern Univ Sci & Technol, Dept Stat & Data Sci, SICM, Shenzhen, Peoples R China 2.Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Peoples R China
第一作者单位	统计与数据科学系
通讯作者单位	统计与数据科学系
第一作者的第一单位	统计与数据科学系
推荐引用方式 GB/T 7714	Shao, Qi-Man,Zhang, Mengchen,Zhang, Zhuo-Song. Distributional Approximation for General Curie-Weiss Models with Size-dependent Inverse Temperatures[J]. SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY,2024.
APA	Shao, Qi-Man,Zhang, Mengchen,&Zhang, Zhuo-Song.(2024).Distributional Approximation for General Curie-Weiss Models with Size-dependent Inverse Temperatures.SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY.
MLA	Shao, Qi-Man,et al."Distributional Approximation for General Curie-Weiss Models with Size-dependent Inverse Temperatures".SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY (2024).