title: On the Berry-Esséen bound of frequency polygons forϕ-mixing samples.
abstract: Under some mild assumptions, the Berry-Esséen bound of frequency polygons forϕ-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.
authors.affiliation: College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi China.
authors.forename: Gan-Ji
authors.initials: GJ
authors.lastname: Huang
authors.affiliation: School of Mathematical Sciences, Xiamen University, Xiamen, Fujian China.
authors.forename: Guodong
authors.initials: G
authors.lastname: Xing
keywords: Berry-Esséen bound; frequency polygons; uniformly asymptotic normality; ϕ-mixing