Moderate deviations for finite population Student's statistic

DOI10.1016/j.jmaa.2008.01.065zbMath1135.62304OpenAlexW2000001860MaRDI QIDQ924202

Zhishui Hu

Publication date: 15 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.01.065

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sampling theory, sample surveys (62D05) Limit theorems in probability theory (60F99)

Cites Work

• Cramér-type large deviations for samples from a finite population
• Edgeworth expansions for sampling without replacement from finite populations
• Berry-Esseen bounds for finite-population \(t\)-statistics
• Self-normalized large deviations
• An Edgeworth expansion for studentized finite population statistics
• Self-normalized Cramér-type large deviations for independent random variables.
• A Berry-Esseeen bound for finite population Student's statistic
• Probability Inequalities for Sums of Bounded Random Variables
• Student's t-Test Under Symmetry Conditions
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