A rigidity property of superpositions involving determinantal processes

doi:10.1016/j.spa.2018.05.002

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	A rigidity property of superpositions involving determinantal processes
	Qiu, Yanqi 1,2,3
	2019-04-01
发表期刊	STOCHASTIC PROCESSES AND THEIR APPLICATIONS
ISSN	0304-4149
卷号	129 期号:4 页码:1371-1378
摘要	The main result of this paper states that if (N, Pi) is a pair of independent point processes on a common ground space with N Poisson and Pi determinantal induced by a locally trace class (not necessarily self-adjoint) correlation kernel, then their independent superposition N + Pi determines uniquely the distributions of N and Pi. (C) 2018 Elsevier B.V. All rights reserved.
关键词	Independent superposition Poisson point process Determinantal point process
DOI	10.1016/j.spa.2018.05.002
语种	英语
资助项目	National Natural Science Foundation of China[NSFC Y7116335K1] ; National Natural Science Foundation of China[NSFC 11688101]
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000462111300010
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34280
专题	中国科学院数学与系统科学研究院
通讯作者	Qiu, Yanqi
作者单位	1.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, AMSS, Beijing 100190, Peoples R China 3.Univ Paul Sabatier, Inst Math Toulouse, CNRS, Toulouse, France
推荐引用方式 GB/T 7714	Qiu, Yanqi. A rigidity property of superpositions involving determinantal processes[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS,2019,129(4):1371-1378.
APA	Qiu, Yanqi.(2019).A rigidity property of superpositions involving determinantal processes.STOCHASTIC PROCESSES AND THEIR APPLICATIONS,129(4),1371-1378.
MLA	Qiu, Yanqi."A rigidity property of superpositions involving determinantal processes".STOCHASTIC PROCESSES AND THEIR APPLICATIONS 129.4(2019):1371-1378.