Acta mathematica scientia,Series B
• Articles • Previous Articles Next Articles
Zhou Yong; Wu Guofu; Li Daoji
Received:
Revised:
Online:
Published:
Contact:
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.
Key words: Truncated data, Product-limits quantilefunction, kernel estimator, Bahadur representation
CLC Number:
Zhou Yong; Wu Guofu; Li Daoji. A KERNEL-TYPE ESTIMATOR OF A QUANTILE FUNCTION UNDER RANDOMLY#br# TRUNCATED DATA[J].Acta mathematica scientia,Series B, 2006, 26(4): 585-594.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://121.43.60.238/sxwlxbB/EN/10.1016/S0252-9602(06)60084-2
http://121.43.60.238/sxwlxbB/EN/Y2006/V26/I4/585
Cited