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Strong consistency of nearest neighbor kernel regression estimation for stationary dependent samples
Lu, ZD; Cheng, P
1998-09-01
发表期刊SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1006-9283
卷号41期号:9页码:918-926
摘要Under quite mild conditions on K-n, the strong consistency is proved for the nearest neighbor density, the nearest neighbor kernel regression and the modified nearest neighbor kernel regression of an alpha-mixing stationary sequence in time series context. The condition imposed on the mixing coefficients is [GRAPHICS] which is simple and weak.
关键词alpha-mixing stationary sequence nearest neighbor density nearest neighbor kernel regression modified nearest neighbor kernel regression strong consistency nonlinear time series
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000076532600003
出版者SCIENCE PRESS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/13569
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.Univ Catholique Louvain, Inst Stat, Louvain, Belgium
2.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714
Lu, ZD,Cheng, P. Strong consistency of nearest neighbor kernel regression estimation for stationary dependent samples[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1998,41(9):918-926.
APA Lu, ZD,&Cheng, P.(1998).Strong consistency of nearest neighbor kernel regression estimation for stationary dependent samples.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,41(9),918-926.
MLA Lu, ZD,et al."Strong consistency of nearest neighbor kernel regression estimation for stationary dependent samples".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 41.9(1998):918-926.
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