Parameter Estimation Based on Set-valued Signals: Theory and Application

doi:10.1007/s10255-019-0822-x

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	Parameter Estimation Based on Set-valued Signals: Theory and Application
	Wang, Ting; Zhang, Hang; Zhao, Yan-long
	2019-04-01
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	35 期号:2 页码:255-263
摘要	This paper summarizes the parameter estimation of systems with set-valued signals, which can be classified to three catalogs: one-time completed algorithms, iterative methods and recursive algorithms. For one-time completed algorithms, empirical measure method is one of the earliest methods to estimate parameters by using set-valued signals, which has been applied to the adaptive tracking of periodic target signals. The iterative methods seek numerical solutions of the maximum likelihood estimation, which have been applied to both complex diseases diagnosis and radar target recognition. The recursive algorithms are constructed via stochastic approximation and stochastic gradient methods, which have been applied to adaptive tracking of non-periodic signals.
关键词	set-valued signals parameter estimation one-time completed algorithms iterative estimation algorithms recursive estimation algorithms
DOI	10.1007/s10255-019-0822-x
语种	英语
资助项目	National Natural Science Foundation of China[61803370] ; National Natural Science Foundation of China[61622309] ; China Postdoctoral Science Foundation[2018M630216] ; National Key Research and Development Program of China[2016YFB0901902]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000467899800001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34704
专题	系统科学研究所
通讯作者	Zhao, Yan-long
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Ting,Zhang, Hang,Zhao, Yan-long. Parameter Estimation Based on Set-valued Signals: Theory and Application[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2019,35(2):255-263.
APA	Wang, Ting,Zhang, Hang,&Zhao, Yan-long.(2019).Parameter Estimation Based on Set-valued Signals: Theory and Application.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,35(2),255-263.
MLA	Wang, Ting,et al."Parameter Estimation Based on Set-valued Signals: Theory and Application".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 35.2(2019):255-263.