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

Hitoshi Motoyama

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 3, 886-895

Abstract: This study establishes the rate of convergence of the asymptotic normality of sample quantiles for simple random samples without replacement from a finite population. Using Hoeffding’s inequality for sampling without replacement and the Berry-Esseen inequality for hypergeometric random variables, the accuracy of the normal approximation of sample quantiles in survey sampling problems is presented.

Date: 2023
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DOI: 10.1080/03610926.2021.1931334

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