On the Berry-Esséen bound of frequency polygons for \(\phi\)-mixing samples

DOI10.1186/S13660-017-1336-9zbMath1361.60017OpenAlexW2602532044WikidataQ37719189 ScholiaQ37719189MaRDI QIDQ522521

Gan-ji Huang, Guo-Dong Xing

Publication date: 18 April 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1336-9

zbMATH Keywords

Berry-Esséen bound\(\phi\)-mixing samplesfrequency polygonsuniformly asymptotic normality

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05)

Related Items (1)

Uniformly strong consistency and the rates of asymptotic normality for the edge frequency polygons

Cites Work

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• The Berry-Esseen bounds for kernel density estimator under dependent sample
• Asymptotic normality of frequency polygons for random fields
• Frequency polygons for weakly dependent processes
• Uniformly asymptotic normality of the regression weighted estimator for negatively associated samples.
• On the uniform consistency of frequency polygons for \(\psi\)-mixing samples
• On the Central Limit Theorem for $\varphi$-Mixing Arrays of Random Variables
• Frequency Polygons: Theory and Application
• Moment inequalities for mixing sequences of random variables

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