Spatial kernel regression estimation: weak consistency

doi:10.1016/j.spl.2003.08.014

CSpace

	Spatial kernel regression estimation: weak consistency
	Lu, ZD ; Chen, X
	2004-06-15
发表期刊	STATISTICS & PROBABILITY LETTERS
ISSN	0167-7152
卷号	68 期号:2 页码:125-136
摘要	In this paper, we introduce a kernel method to estimate a spatial conditional regression under mixing spatial processes. Some preliminary statistical properties including weak consistency and convergence rates are investigated. The sufficient conditions on mixing coefficients and the bandwidth are established to ensure distribution-free weak consistency, which requires no assumption on the regressor and allows the mixing coefficients decreasing to zero slowly. However, to achieve an optimal convergence rate, some requirements on the regressor and the decreasing rate of mixing coefficients tending to zero are needed. (C) 2003 Published by Elsevier B.V.
关键词	bandwidth kernel estimator spatial regression mixing spatial processes weak consistency and rates
DOI	10.1016/j.spl.2003.08.014
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000222150400001
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/19583
专题	中国科学院数学与系统科学研究院
通讯作者	Lu, ZD
作者单位	1.Chinese Acad Sci, MADIS, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Yunnan Univ, Dept Stat, Kunming, Peoples R China
推荐引用方式 GB/T 7714	Lu, ZD,Chen, X. Spatial kernel regression estimation: weak consistency[J]. STATISTICS & PROBABILITY LETTERS,2004,68(2):125-136.
APA	Lu, ZD,&Chen, X.(2004).Spatial kernel regression estimation: weak consistency.STATISTICS & PROBABILITY LETTERS,68(2),125-136.
MLA	Lu, ZD,et al."Spatial kernel regression estimation: weak consistency".STATISTICS & PROBABILITY LETTERS 68.2(2004):125-136.