Smoothed Versions of Statistical Functionals from a Finite Population

DOI10.14490/JJSS.38.475zbMath1248.60032OpenAlexW1484522255MaRDI QIDQ2919551

Hajime Takahashi, Hitoshi Motoyama

Publication date: 4 October 2012

Published in: JOURNAL OF THE JAPAN STATISTICAL SOCIETY (Search for Journal in Brave)

Full work available at URL: https://www.jstage.jst.go.jp/A_PRedirectJournalInit?sryCd=jjss&kijiCd=38_3_475&screenID=AF06S010&noVol=38&noIssue=3

zbMATH Keywords

asymptotic normalitykernel smoothinginfluence functioncentral limit theoremfinite populationempirical distribution functionsurvey samplingsimple random samplingHadamard differentiablestatistical functionaldifferentiable functionalofficial statisticsfunctional Taylor series expansionsopinion poll

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Sampling theory, sample surveys (62D05)

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

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