Berry-Esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a LNQD sequence

In this paper, the authors investigate the Berry-Esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a LNQD random variable sequence. The rate of the normal approximation is shown as [Formula: see text] under some appropriate condition...

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Detalles Bibliográficos
Autores principales: Ding, Liwang, Chen, Ping, Li, Yongming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Review
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5758699/
https://www.ncbi.nlm.nih.gov/pubmed/29367822
http://dx.doi.org/10.1186/s13660-017-1604-8
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author Ding, Liwang
Chen, Ping
Li, Yongming
author_facet Ding, Liwang
Chen, Ping
Li, Yongming
author_sort Ding, Liwang
collection PubMed
description In this paper, the authors investigate the Berry-Esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a LNQD random variable sequence. The rate of the normal approximation is shown as [Formula: see text] under some appropriate conditions. The results obtained in the article generalize or improve the corresponding ones for mixing dependent sequences in some sense.
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spelling pubmed-57586992018-01-22 Berry-Esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a LNQD sequence Ding, Liwang Chen, Ping Li, Yongming J Inequal Appl Review In this paper, the authors investigate the Berry-Esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a LNQD random variable sequence. The rate of the normal approximation is shown as [Formula: see text] under some appropriate conditions. The results obtained in the article generalize or improve the corresponding ones for mixing dependent sequences in some sense. Springer International Publishing 2018-01-08 2018 /pmc/articles/PMC5758699/ /pubmed/29367822 http://dx.doi.org/10.1186/s13660-017-1604-8 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Review
Ding, Liwang
Chen, Ping
Li, Yongming
Berry-Esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a LNQD sequence
title Berry-Esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a LNQD sequence
title_full Berry-Esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a LNQD sequence
title_fullStr Berry-Esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a LNQD sequence
title_full_unstemmed Berry-Esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a LNQD sequence
title_short Berry-Esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a LNQD sequence
title_sort berry-esseen bounds of weighted kernel estimator for a nonparametric regression model based on linear process errors under a lnqd sequence
topic Review
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5758699/
https://www.ncbi.nlm.nih.gov/pubmed/29367822
http://dx.doi.org/10.1186/s13660-017-1604-8
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