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Author:

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

Indexed by:

EI Scopus SCIE

Abstract:

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.

Keyword:

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

Author Community:

  • [ 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

Reprint Author's Address:

  • 张忠占

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

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Source :

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION

ISSN: 0361-0918

Year: 2017

Issue: 1

Volume: 46

Page: 779-794

0 . 9 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:66

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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