NOTE ON A SIMPLE DERIVATION OF THE ASYMPTOTIC NORMALITY OF SAMPLE QUANTILES FROM A FINITE POPULATION

Hitoshi Motoyama

doi:10.2333/bhmk.39.1

Articles

NOTE ON A SIMPLE DERIVATION OF THE ASYMPTOTIC NORMALITY OF SAMPLE QUANTILES FROM A FINITE POPULATION

Hitoshi Motoyama

著者情報

キーワード: quantile, finite population, asymptotic normality, survey sampling, empirical distribution function

ジャーナル認証あり

2012 年 39 巻 1 号 p. 1-8

DOI https://doi.org/10.2333/bhmk.39.1

詳細

抄録

In this article, we study the limiting distributions of sample quantiles from a finite population. We give a simple proof of the asymptotic normality of sample quantiles for simple random samples from a finite population by employing the method of Wretman (1978). Some Monte Carlo simulation results are also included.

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