A KERNEL-TYPE ESTIMATOR OF A QUANTILE FUNCTION UNDER RANDOMLY TRUNCATED DATA* * Zhou's research was partially supported by the NNSF of China (10471140, 10571169); Wu's research was partially supported by NNSF of China (0571170)

Yong Zhou; Guofu Wu; Daoji Li

doi:10.1016/S0252-9602(06)60084-2

A KERNEL-TYPE ESTIMATOR OF A QUANTILE FUNCTION UNDER RANDOMLY TRUNCATED DATA^* * Zhou's research was partially supported by the NNSF of China (10471140, 10571169); Wu's research was partially supported by NNSF of China (0571170)

Yong Zhou^*
, Guofu Wu
, Daoji Li

^*此作品的通讯作者

CAS - Academy of Mathematics and System Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

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.

源语言	英语
页（从-至）	585-594
页数	10
期刊	Acta Mathematica Scientia
卷	26
期	4
DOI	https://doi.org/10.1016/S0252-9602(06)60084-2
出版状态	已出版 - 2006
已对外发布	是

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10.1016/S0252-9602(06)60084-2

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引用此

@article{d889353da9fd423f93dca351dc4470bf,

title = "A KERNEL-TYPE ESTIMATOR OF A QUANTILE FUNCTION UNDER RANDOMLY TRUNCATED DATA* * Zhou's research was partially supported by the NNSF of China (10471140, 10571169); Wu's research was partially supported by NNSF of China (0571170)",

abstract = "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.",

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volume = "26",

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A KERNEL-TYPE ESTIMATOR OF A QUANTILE FUNCTION UNDER RANDOMLY TRUNCATED DATA^* * Zhou's research was partially supported by the NNSF of China (10471140, 10571169); Wu's research was partially supported by NNSF of China (0571170). / Zhou, Yong; Wu, Guofu; Li, Daoji.
在: Acta Mathematica Scientia, 卷 26, 号码 4, 2006, 页码 585-594.

科研成果: 期刊稿件 › 文章 › 同行评审

TY - JOUR

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AU - Li, Daoji

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KW - Bahadur representation

KW - Product-limits quantile function

KW - Truncated data

KW - kernel estimator

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