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Author:

Sun, Zhi-Meng (Sun, Zhi-Meng.) | Zhang, Sai-Yin (Zhang, Sai-Yin.)

Indexed by:

EI Scopus PKU CSCD

Abstract:

The aim is to gain a rational estimator of monotone regression function with randomly right censored data. Using the theory of the greatest convex minorant and the statistical idea of padding the uncensored data highly, a new estimator is proposed. The estimator can guarantee monotone property, which is superior to traditional kernel estimators. Thus, in practical applications, such as establishing children's growth curve, when right censored data comes up and the regression function can be concluded to be monotone by historical experience or common sense, this estimation method is more natural. Under assumed conditions, the asymptotic distribution of the estimator is found and the estimator is shown to be consistent, indicating that the estimator has good limit behaviors.

Keyword:

Rational functions Random errors Regression analysis

Author Community:

  • [ 1 ] [Sun, Zhi-Meng]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • [ 2 ] [Zhang, Sai-Yin]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

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Source :

Journal of Beijing University of Technology

ISSN: 0254-0037

Year: 2009

Issue: 8

Volume: 35

Page: 1142-1147

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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