The Bahadur representation for sample quantile under NOD sequence

DOI10.1080/10485252.2010.486033zbMath1359.62156OpenAlexW2067855340MaRDI QIDQ3021175

Wenzhi Yang, Xiaoqin Li, Shuhe Hu, Xue-jun Wang

Publication date: 22 July 2011

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485252.2010.486033

zbMATH Keywords

Bahadur representationsample quantilenegatively orthant dependent

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20)

Related Items (11)

MODERATE DEVIATION PRINCIPLE OF SAMPLE QUANTILES AND ORDER STATISTICS ⋮ Unnamed Item ⋮ Berry-Esséen bound of sample quantiles for negatively associated sequence ⋮ The consistency for estimator of nonparametric regression model based on NOD errors ⋮ Asymptotics for the linear kernel quantile estimator ⋮ The Berry-Esséen type bound of sample quantiles for strong mixing sequence ⋮ A Note on the Berry-Esséen Bound of Sample Quantiles for ϕ-mixing Sequence ⋮ The Bahadur representation for sample quantiles under dependent sequence ⋮ The Bahadur representation of sample quantiles for weakly dependent sequences ⋮ On Bahadur representation for sample quantiles under \(\alpha\)-mixing sequence ⋮ Exponential probability inequalities for WNOD random variables and their applications

Cites Work

• On deviations between empirical and quantile processes for mixing random variables
• Negative association of random variables, with applications
• On the Bahadur representation of sample quantiles for dependent sequences
• Approximation Theorems of Mathematical Statistics
• Bahadur representation for the nonparametricM-estimator under α-mixing dependence
• A Note on Quantiles in Large Samples

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