Rate of convergence of the asymptotic normality of sample quantiles from a finite population

DOI10.1080/03610926.2021.1931334OpenAlexW3167634052MaRDI QIDQ5875266

Hitoshi Motoyama

Publication date: 3 February 2023

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2021.1931334

zbMATH Keywords

rate of convergenceasymptotic normalitycentral limit theoremfinite populationquantilesimple random sampling without replacement

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Sampling theory, sample surveys (62D05) Order statistics; empirical distribution functions (62G30)

Cites Work

• Asymptotic properties of sample quantiles from a finite population
• Quantile estimation with a complex survey design
• \(L\)-statistics in complex survey problems
• On the accuracy of the normal approximation for quantiles
• Limit theorems for sampling from finite populations
• Concentration inequalities for sampling without replacement
• Smoothed Versions of Statistical Functionals from a Finite Population
• On asymptotic normality and variance estimation for nondifferentiable survey estimators
• Approximation Theorems of Mathematical Statistics
• A Berry-Esseen theorem for hypergeometric probabilities under minimal conditions
• Inference for Quantiles of a Finite Population: Asymptotic versus Resampling Results
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