Some Further Results on Nonuniform Rates of Convergence to Normality in Finite Population with Applications

DOI10.1007/978-3-319-17329-0_11zbMath1336.60040OpenAlexW1014201908MaRDI QIDQ2799914

Ratan Dasgupta

Publication date: 14 April 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-17329-0_11

zbMATH Keywords

convergence ratesentire functionsmoothing splinecentral limit theoremfinite populationdeviation probabilitiesbulb cropnonuniform \(L_p\)-Berry-Esseen theorem

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Central limit and other weak theorems (60F05)

Cites Work

• Cramér-type large deviations for samples from a finite population
• Large deviation probabilities for samples from a finite population
• An Edgeworth expansion for finite-population \(U\)-statistics
• Nonuniform Rates of Convergence to Normality for Two-Sample U-Statistics in Non IID Case with Applications
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