Non-asymptotic bounds for percentiles of independent non-identical random variables

DOI10.1016/J.SPL.2019.04.018zbMath1459.60055arXiv1808.07997OpenAlexW2888146714MaRDI QIDQ2322654

Dong Xia

Publication date: 5 September 2019

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07997

zbMATH Keywords

percentilemedianharmonic meannon-asymptotic bound

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Limit theorems in probability theory (60F99)

Related Items (1)

On mean estimation for heteroscedastic random variables

Cites Work

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• Concentration inequalities for order statistics
• Approximate distributions of order statistics. With applications to nonparametric statistics
• Oracle inequalities for inverse problems
• Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
• Sparse model selection under heterogeneous noise: exact penalisation and data-driven thresholding
• Mathematical Statistics
• Probability Inequalities for Sums of Bounded Random Variables
• A Note on Quantiles in Large Samples
• On Bahadur's Representation of Sample Quantiles
• A New Proof of the Bahadur Representation of Quantiles and an Application

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