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author:

Xiong, Xian-zhu (Xiong, Xian-zhu.) [1] (Scholars:熊贤祝) | Lin, Zheng-yan (Lin, Zheng-yan.) [2]

Indexed by:

Scopus SCIE CSCD

Abstract:

This paper considers a nonparametric M-estimator of a regression function for functional stationary ergodic data. More precisely, in the ergodic data setting, we consider the regression of a real random variable Y over an explanatory random variable X taking values in some semi-metric abstract space. Under some mild conditions, the weak consistency and the asymptotic normality of the M-estimator are established. Furthermore, a simulated example is provided to examine the finite sample performance of the M-estimator.

Keyword:

asymptotic normality functional stationary ergodic data nonparametric M-estimator weak consistency

Community:

  • [ 1 ] [Xiong, Xian-zhu]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China
  • [ 2 ] [Lin, Zheng-yan]Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

Reprint 's Address:

  • [Lin, Zheng-yan]Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

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Source :

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES

ISSN: 0168-9673

CN: 11-2041/O1

Year: 2019

Issue: 3

Volume: 35

Page: 491-512

0 . 7 9 1

JCR@2019

0 . 9 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:59

JCR Journal Grade:3

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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