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A general result on complete f-moment convergence with its application to nonparametric regression models.

Authors :
Zheng, Shunping
Zhang, Fei
Wang, Chunhua
Wang, Xuejun
Source :
Stochastic Models. 2024, Vol. 40 Issue 1, p123-151. 29p.
Publication Year :
2024

Abstract

In this paper, the complete f-moment convergence for weighted sums of sequences of extended negatively dependent random variables is investigated. As a result, we not only extend and generalize some results on complete convergence obtained by Wu and Zhai (Journal of Mathematical Inequalities, 13(1): 251-260, 2019), but also get some results on the complete consistency for the estimator of nonparametric regression models and provide some simulations to assess the validity of our theoretical results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15326349
Volume :
40
Issue :
1
Database :
Academic Search Index
Journal :
Stochastic Models
Publication Type :
Academic Journal
Accession number :
175035133
Full Text :
https://doi.org/10.1080/15326349.2023.2210206