On the Berry-Esséen bound of frequency polygons for ϕ-mixing samples

Under some mild assumptions, the Berry-Esséen bound of frequency polygons for ϕ-mixing samples is presented. By the bound derived, we obtain the corresponding convergence rate of uniformly asymptotic normality, which is nearly [Formula: see text] under the given conditions.

Detalles Bibliográficos
Autores principales: Huang, Gan-ji, Xing, Guodong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5364271/
https://www.ncbi.nlm.nih.gov/pubmed/28392669
http://dx.doi.org/10.1186/s13660-017-1336-9
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author Huang, Gan-ji
Xing, Guodong
author_facet Huang, Gan-ji
Xing, Guodong
author_sort Huang, Gan-ji
collection PubMed
description Under some mild assumptions, the Berry-Esséen bound of frequency polygons for ϕ-mixing samples is presented. By the bound derived, we obtain the corresponding convergence rate of uniformly asymptotic normality, which is nearly [Formula: see text] under the given conditions.
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spelling pubmed-53642712017-04-07 On the Berry-Esséen bound of frequency polygons for ϕ-mixing samples Huang, Gan-ji Xing, Guodong J Inequal Appl Research Under some mild assumptions, the Berry-Esséen bound of frequency polygons for ϕ-mixing samples is presented. By the bound derived, we obtain the corresponding convergence rate of uniformly asymptotic normality, which is nearly [Formula: see text] under the given conditions. Springer International Publishing 2017-03-23 2017 /pmc/articles/PMC5364271/ /pubmed/28392669 http://dx.doi.org/10.1186/s13660-017-1336-9 Text en © The Author(s) 2017 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 Research
Huang, Gan-ji
Xing, Guodong
On the Berry-Esséen bound of frequency polygons for ϕ-mixing samples
title On the Berry-Esséen bound of frequency polygons for ϕ-mixing samples
title_full On the Berry-Esséen bound of frequency polygons for ϕ-mixing samples
title_fullStr On the Berry-Esséen bound of frequency polygons for ϕ-mixing samples
title_full_unstemmed On the Berry-Esséen bound of frequency polygons for ϕ-mixing samples
title_short On the Berry-Esséen bound of frequency polygons for ϕ-mixing samples
title_sort on the berry-esséen bound of frequency polygons for ϕ-mixing samples
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5364271/
https://www.ncbi.nlm.nih.gov/pubmed/28392669
http://dx.doi.org/10.1186/s13660-017-1336-9
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