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

Abstract 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 O ( n − 1 / 6 ) $O(n^{-1/6})$ under the given conditions.

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Autors principals: Gan-ji Huang, Guodong Xing
Format: Artigo
Idioma:Inglês
Publicat: SpringerOpen 2017-03-01
Col·lecció:Journal of Inequalities and Applications
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Accés en línia:http://link.springer.com/article/10.1186/s13660-017-1336-9
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