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

^*Corresponding author for this work

CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	585-594
Number of pages	10
Journal	Acta Mathematica Scientia
Volume	26
Issue number	4
DOIs	https://doi.org/10.1016/S0252-9602(06)60084-2
State	Published - 2006
Externally published	Yes

Keywords

Bahadur representation
Product-limits quantile function
Truncated data
kernel estimator

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10.1016/S0252-9602(06)60084-2

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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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author = "Yong Zhou and Guofu Wu and Daoji Li",

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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.
In: Acta Mathematica Scientia, Vol. 26, No. 4, 2006, p. 585-594.

Research output: Contribution to journal › Article › peer-review

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KW - Product-limits quantile function

KW - Truncated data

KW - kernel estimator

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