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Asymptotic normality for L-1 norm kernel estimator of conditional median under alpha-mixing dependence

文献类型:期刊论文

作者Zhou, Y; Liang, H
刊名JOURNAL OF MULTIVARIATE ANALYSIS
出版日期2000-04-01
卷号73期号:1页码:136-154
关键词alpha-mixing dependence L-1-norm kernel estimator conditional median asymptotic normality
ISSN号0047-259X
英文摘要Let (X-1, Y-1), (X-2, Y-2),.... be d + 1 dimensional random vectors which are distributed as (X, Y). Let 0(x) be the conditional median, that is, 0(x) = inf{ y: P( Y less than or equal to y\ X = x) greater than or equal to 1/2}. We consider the problem of estimating 0(x) from the data which are alpha-mixing dependence. L-1-norm kernel estimators of conditional median of weakly dependent random variables are proposed and the asymptotic normality of the resulting estimators is derived. (C) 2000 Academic Press.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000086474200008
出版者ACADEMIC PRESS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/15484]  
专题应用数学研究所
通讯作者Zhou, Y
作者单位1.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714
Zhou, Y,Liang, H. Asymptotic normality for L-1 norm kernel estimator of conditional median under alpha-mixing dependence[J]. JOURNAL OF MULTIVARIATE ANALYSIS,2000,73(1):136-154.
APA Zhou, Y,&Liang, H.(2000).Asymptotic normality for L-1 norm kernel estimator of conditional median under alpha-mixing dependence.JOURNAL OF MULTIVARIATE ANALYSIS,73(1),136-154.
MLA Zhou, Y,et al."Asymptotic normality for L-1 norm kernel estimator of conditional median under alpha-mixing dependence".JOURNAL OF MULTIVARIATE ANALYSIS 73.1(2000):136-154.

入库方式: OAI收割

来源:数学与系统科学研究院

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