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
Descripción
Sumario: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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