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作者:

Ding, Jianhua (Ding, Jianhua.) | Zhang, Zhongzhan (Zhang, Zhongzhan.) (学者:张忠占)

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摘要:

We develope an M-estimator for partially linear models in which the nonparametric component is subject to various shape constraints. Bernstein polynomials are used to approximate the unknown nonparametric function, and shape constraints are imposed on the coefficients. Asymptotic normality of regression parameters and the optimal rate of convergence of the shape-restricted nonparametric function estimator are established under very mild conditions. Some simulation studies and a real data analysis are conducted to evaluate the finite sample performance of the proposed method.

关键词:

Bernstein polynomials Empirical process M-estimation Rate of convergence Shape constrains

作者机构:

  • [ 1 ] [Ding, Jianhua]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, Zhongzhan]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Ding, Jianhua]Shanxi Datong Univ, Dept Math, Datong, Shanxi, Peoples R China

通讯作者信息:

  • 张忠占

    [Zhang, Zhongzhan]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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来源 :

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION

ISSN: 0361-0918

年份: 2017

期: 1

卷: 46

页码: 779-794

0 . 9 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:39

中科院分区:4

被引次数:

WoS核心集被引频次: 1

SCOPUS被引频次: 1

ESI高被引论文在榜: 0 展开所有

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