The Berry-Esséen bound of sample quantiles for NA sequence

DOI10.1186/1029-242X-2014-79zbMath1373.62209OpenAlexW2124612124WikidataQ59324260 ScholiaQ59324260MaRDI QIDQ2405581

Tingting Liu, Wenzhi Yang, Shuhe Hu, Zhimian Zhang

Publication date: 26 September 2017

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-79

zbMATH Keywords

sample quantileBerry-Esséen boundNA random variables

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05)

Related Items (4)

Uniformly asymptotic normality of sample quantiles estimator for linearly negative quadrant dependent samples ⋮ A Note on the Berry--Esseen Bounds for $\rho$-Mixing Random Variables and Their Applications ⋮ MODERATE DEVIATION PRINCIPLE OF SAMPLE QUANTILES AND ORDER STATISTICS ⋮ A Berry–Esseen theorem for sample quantiles under martingale difference sequences

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• On the accuracy of the normal approximation for quantiles
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• Approximation Theorems of Mathematical Statistics

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