A uniform law of large numbers and empirical central limit theorem for limits of finite populations

DOI10.1016/0167-7152(90)90012-VzbMath0713.60029OpenAlexW1988504969MaRDI QIDQ749995

Joseph Horowitz

Publication date: 1990

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(90)90012-v

zbMATH Keywords

law of large numberscentral limit theoremfinite populationempirical processsimple random sampling

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sampling theory, sample surveys (62D05)

Cites Work

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• Limit theorems for sampling from finite populations
• A martingale approach to central limit theorems for exchangeable random variables
• Probability Inequalities for Sums of Bounded Random Variables
• Uniformity in weak convergence
• Convergence of stochastic processes

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