A kernel-type estimator of a quantile function under randomly truncated data

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	A kernel-type estimator of a quantile function under randomly truncated data
	Zhou Yong; Wu Gofu; Li Daoji
	2006-10-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	26 期号:4 页码:585-594
摘要	A kernel-type estimator of the quantile function Q(p) = inf {t : F(t) >= p}, 0 <= p <= 1, is proposed based on the kernel smoother when the data are subjected to random truncation. The Bahadur-type representations of the kernel smooth estimator are established, and from Bahadur representations the authors can show that this estimator is strongly consistent, asymptotically normal, and weakly convergent.
关键词	truncated data Product-limits quantile function kernel estimator Bahadur representation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000241746500002
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3636
专题	应用数学研究所
通讯作者	Zhou Yong
作者单位	Chinese Acad Sci, Acad MAth & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhou Yong,Wu Gofu,Li Daoji. A kernel-type estimator of a quantile function under randomly truncated data[J]. ACTA MATHEMATICA SCIENTIA,2006,26(4):585-594.
APA	Zhou Yong,Wu Gofu,&Li Daoji.(2006).A kernel-type estimator of a quantile function under randomly truncated data.ACTA MATHEMATICA SCIENTIA,26(4),585-594.
MLA	Zhou Yong,et al."A kernel-type estimator of a quantile function under randomly truncated data".ACTA MATHEMATICA SCIENTIA 26.4(2006):585-594.